Greatest Common Factor of 7028/36, 1760/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7028/36, 1760/371

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 7028/36,1760/371

Given fractions are 7028/36,1760/371

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 7028,1760

Greatest Common Factor of Numerators i.e. GCF of 7028,1760 is 4 .

LCM of Denominators means LCM of 36,371 as per the given fractions.

LCM of 36,371 is 13356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7028,1760

GCF of Fractions 7028/36,1760/371 is 4/13356

2 7028, 1760
2 3514, 880
1757, 440

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7028,1760 By Matching Biggest Common Factor Method

Greatest Common Factor of 7028,1760 By Matching Biggest Common Factor Method

Factors of 7028

List of positive integer factors of 7028 that divides 7028 without a remainder.

1,2,4,7,14,28,251,502,1004,1757,3514,7028

Factors of 1760

List of positive integer factors of 1760 that divides 1760 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,80,88,110,160,176,220,352,440,880,1760

Greatest Common Factor

We found the factors 7028,1760 . The biggest common factor number is the GCF number.
So the greatest common factor 7028,1760 is 4.

Lets's calculate LCM of 36,371

Given numbers has no common factors except 1. So, there LCM is their product i.e 13356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/13356

Therefore, the GCF of Fractions 7028/36,1760/371 is 4/13356

Least Common Multiple of 36,371 with GCF Formula

Least Common Multiple of 36,371 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 36,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,371) = 1

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

GCF(36,371) x common factors =1 x 1 = 1

LCM(36,371) = ( 36 × 371 ) / 1

LCM(36,371) = 13356 / 1

LCM(36,371) = 13356


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 7028/36, 1760/371

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 7028/36, 1760/371?

Answer: GCF of Numerators as per given numbers 7028/36, 1760/371 is

GCF of Numerators i.e. for 7028,1760 is 4

LCM of denominators i.e. for 36,371 is 13356.

Thus, GCF of Fractions is 4/13356.Finally, GCF of Fractions for 7028/36, 1760/371 is 4/13356.