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 937/774, 309/128

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 937/774, 309/128 i.e 1/49536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/774, 309/128.

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 937/774,309/128?

Given fractions are 937/774,309/128

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 937/774,309/128, numerators are 937,309

Denominators are 774,128

The GCF of 937,309 is 1 .

LCM of 774,128 is 49536.

The greatest common factor of 937/774,309/128 = [GCF of 937,309]/[LCM of 774,128]= 1/49536

Therefore, the GCF of 937/774,309/128 is 1/49536.

Greatest Common Factor of 937,309

To find the highest common factor of 937,309, we have to find the factors of both numbers and list the highest common factor.

The factors of 937 are 1, 937

The factors of 309 are 1, 3, 103, 309

The HCF of 937,309 is 1.

Lets's calculate GCF of 937,309

Greatest Common Factor (GCF) of 937,309 By Common Division

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

Greatest Common Factor of 937,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 937,309 By Matching Biggest Common Factor Method

Now, list down the factors of 937

:

1,937

Now, list down the factors of 309

:

1,3,103,309

Greatest Common Factor

We found the factors 937,309 . The biggest common factor number is the GCF number.
So the greatest common factor 937,309 is 1.

Lets's calculate LCM of 774,128

Lowest Common Multiple of 774,128 using Common Division

2 774, 128
387, 64

∴ So the LCM of the given numbers is 2 x 387 x 64 = 49536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49536

Therefore, the GCF of Fractions 937/774,309/128 is 1/49536

Least Common Multiple of 774,128 with GCF Formula

Least Common Multiple of 774,128 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 774,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,128) = 2

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

GCF(774,128) x common factors =2 x 1 = 2

LCM(774,128) = ( 774 × 128 ) / 2

LCM(774,128) = 99072 / 2

LCM(774,128) = 49536


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 937/774, 309/128

1. What is the HCF of 937,309?

The HCF of 937,309 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 937/774, 309/128?

Answer: GCF of Numerators as per given numbers 937/774, 309/128 is

GCF of Numerators i.e. for 937,309 is 1

LCM of denominators i.e. for 774,128 is 49536.

Thus, GCF of Fractions is 1/49536.Finally, GCF of Fractions for 937/774, 309/128 is 1/49536.