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 685/79, 744/1967

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 685/79, 744/1967 i.e 1/155393 easily. The following is the detailed procedure to determine the greatest common factor of fractions 685/79, 744/1967.

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 685/79,744/1967?

Given fractions are 685/79,744/1967

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 685/79,744/1967, numerators are 685,744

Denominators are 79,1967

The GCF of 685,744 is 1 .

LCM of 79,1967 is 155393.

The greatest common factor of 685/79,744/1967 = [GCF of 685,744]/[LCM of 79,1967]= 1/155393

Therefore, the GCF of 685/79,744/1967 is 1/155393.

Greatest Common Factor of 685,744

To find the highest common factor of 685,744, we have to find the factors of both numbers and list the highest common factor.

The factors of 685 are 1, 5, 137, 685

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

The HCF of 685,744 is 1.

Lets's calculate GCF of 685,744

Greatest Common Factor (GCF) of 685,744 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 685,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,744 By Matching Biggest Common Factor Method

Now, list down the factors of 685

:

1,5,137,685

Now, list down the factors of 744

:

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

Greatest Common Factor

We found the factors 685,744 . The biggest common factor number is the GCF number.
So the greatest common factor 685,744 is 1.


Lets's calculate LCM of 79,1967

Lowest Common Multiple of 79,1967 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 155393

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155393

Therefore, the GCF of Fractions 685/79,744/1967 is 1/155393

Least Common Multiple of 79,1967 with GCF Formula

Least Common Multiple of 79,1967 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 79,1967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,1967) = 1

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

GCF(79,1967) x common factors =1 x 1 = 1

LCM(79,1967) = ( 79 × 1967 ) / 1

LCM(79,1967) = 155393 / 1

LCM(79,1967) = 155393


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 685/79, 744/1967

1. What is the HCF of 685,744?

The HCF of 685,744 is 1

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 685/79, 744/1967?

Answer: GCF of Numerators as per given numbers 685/79, 744/1967 is

GCF of Numerators i.e. for 685,744 is 1

LCM of denominators i.e. for 79,1967 is 155393.

Thus, GCF of Fractions is 1/155393.Finally, GCF of Fractions for 685/79, 744/1967 is 1/155393.