LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 744/716, 6756/797

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 744/716, 6756/797 i.e 12/570652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 744/716, 6756/797.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 744/716,6756/797?

Given fractions are 744/716,6756/797

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 744/716,6756/797, numerators are 744,6756

Denominators are 716,797

The GCF of 744,6756 is 12 .

LCM of 716,797 is 570652.

The greatest common factor of 744/716,6756/797 = [GCF of 744,6756]/[LCM of 716,797]= 12/570652

Therefore, the GCF of 744/716,6756/797 is 12/570652.

Greatest Common Factor of 744,6756

To find the highest common factor of 744,6756, we have to find the factors of both numbers and list the highest common factor.

The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

The factors of 6756 are 1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378, 6756

The HCF of 744,6756 is 12.

Lets's calculate GCF of 744,6756

Greatest Common Factor (GCF) of 744,6756 By Common Division

2 744, 6756
2 372, 3378
3 186, 1689
62, 563

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 744,6756 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,6756 By Matching Biggest Common Factor Method

Now, list down the factors of 744

:

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Now, list down the factors of 6756

:

1,2,3,4,6,12,563,1126,1689,2252,3378,6756

Greatest Common Factor

We found the factors 744,6756 . The biggest common factor number is the GCF number.
So the greatest common factor 744,6756 is 12.


Lets's calculate LCM of 716,797

Lowest Common Multiple of 716,797 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 570652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/570652

Therefore, the GCF of Fractions 744/716,6756/797 is 12/570652

Least Common Multiple of 716,797 with GCF Formula

Least Common Multiple of 716,797 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 716,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,797) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(716,797) x common factors =1 x 1 = 1

LCM(716,797) = ( 716 × 797 ) / 1

LCM(716,797) = 570652 / 1

LCM(716,797) = 570652


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 744/716, 6756/797

1. What is the HCF of 744,6756?

The HCF of 744,6756 is 12

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 744/716, 6756/797?

Answer: GCF of Numerators as per given numbers 744/716, 6756/797 is

GCF of Numerators i.e. for 744,6756 is 12

LCM of denominators i.e. for 716,797 is 570652.

Thus, GCF of Fractions is 12/570652.Finally, GCF of Fractions for 744/716, 6756/797 is 12/570652.