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 327/68, 756/3490

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 327/68, 756/3490 i.e 3/118660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 327/68, 756/3490.

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 327/68,756/3490?

Given fractions are 327/68,756/3490

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 327/68,756/3490, numerators are 327,756

Denominators are 68,3490

The GCF of 327,756 is 3 .

LCM of 68,3490 is 118660.

The greatest common factor of 327/68,756/3490 = [GCF of 327,756]/[LCM of 68,3490]= 3/118660

Therefore, the GCF of 327/68,756/3490 is 3/118660.

Greatest Common Factor of 327,756

To find the highest common factor of 327,756, we have to find the factors of both numbers and list the highest common factor.

The factors of 327 are 1, 3, 109, 327

The factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

The HCF of 327,756 is 3.

Lets's calculate GCF of 327,756

Greatest Common Factor (GCF) of 327,756 By Common Division

3 327, 756
109, 252

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 327,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,756 By Matching Biggest Common Factor Method

Now, list down the factors of 327

:

1,3,109,327

Now, list down the factors of 756

:

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 327,756 . The biggest common factor number is the GCF number.
So the greatest common factor 327,756 is 3.


Lets's calculate LCM of 68,3490

Lowest Common Multiple of 68,3490 using Common Division

2 68, 3490
34, 1745

∴ So the LCM of the given numbers is 2 x 34 x 1745 = 118660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/118660

Therefore, the GCF of Fractions 327/68,756/3490 is 3/118660

Least Common Multiple of 68,3490 with GCF Formula

Least Common Multiple of 68,3490 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 68,3490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,3490) = 2

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

GCF(68,3490) x common factors =2 x 1 = 2

LCM(68,3490) = ( 68 × 3490 ) / 2

LCM(68,3490) = 237320 / 2

LCM(68,3490) = 118660


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 327/68, 756/3490

1. What is the HCF of 327,756?

The HCF of 327,756 is 3

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 327/68, 756/3490?

Answer: GCF of Numerators as per given numbers 327/68, 756/3490 is

GCF of Numerators i.e. for 327,756 is 3

LCM of denominators i.e. for 68,3490 is 118660.

Thus, GCF of Fractions is 3/118660.Finally, GCF of Fractions for 327/68, 756/3490 is 3/118660.