Greatest Common Factor of 861/35, 749/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 861/35, 749/128

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 861/35,749/128

Given fractions are 861/35,749/128

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 861,749

Greatest Common Factor of Numerators i.e. GCF of 861,749 is 7 .

LCM of Denominators means LCM of 35,128 as per the given fractions.

LCM of 35,128 is 4480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 861,749

GCF of Fractions 861/35,749/128 is 7/4480

7 861, 749
123, 107

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 861,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,749 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 861,749 . The biggest common factor number is the GCF number.
So the greatest common factor 861,749 is 7.

Lets's calculate LCM of 35,128

Given numbers has no common factors except 1. So, there LCM is their product i.e 4480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/4480

Therefore, the GCF of Fractions 861/35,749/128 is 7/4480

Least Common Multiple of 35,128 with GCF Formula

Least Common Multiple of 35,128 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 35,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,128) = 1

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

GCF(35,128) x common factors =1 x 1 = 1

LCM(35,128) = ( 35 × 128 ) / 1

LCM(35,128) = 4480 / 1

LCM(35,128) = 4480


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 861/35, 749/128

1. 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.

2. What is the GCF of Fractions for 861/35, 749/128?

Answer: GCF of Numerators as per given numbers 861/35, 749/128 is

GCF of Numerators i.e. for 861,749 is 7

LCM of denominators i.e. for 35,128 is 4480.

Thus, GCF of Fractions is 7/4480.Finally, GCF of Fractions for 861/35, 749/128 is 7/4480.