Greatest Common Factor of 7060/737, 1126/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7060/737, 1126/513

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 7060/737,1126/513

Given fractions are 7060/737,1126/513

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 7060,1126

Greatest Common Factor of Numerators i.e. GCF of 7060,1126 is 2 .

LCM of Denominators means LCM of 737,513 as per the given fractions.

LCM of 737,513 is 378081 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7060,1126

GCF of Fractions 7060/737,1126/513 is 2/378081

2 7060, 1126
3530, 563

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

Greatest Common Factor of 7060,1126 By Matching Biggest Common Factor Method

Greatest Common Factor of 7060,1126 By Matching Biggest Common Factor Method

Factors of 7060

List of positive integer factors of 7060 that divides 7060 without a remainder.

1,2,4,5,10,20,353,706,1412,1765,3530,7060

Factors of 1126

List of positive integer factors of 1126 that divides 1126 without a remainder.

1,2,563,1126

Greatest Common Factor

We found the factors 7060,1126 . The biggest common factor number is the GCF number.
So the greatest common factor 7060,1126 is 2.

Lets's calculate LCM of 737,513

Given numbers has no common factors except 1. So, there LCM is their product i.e 378081

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/378081

Therefore, the GCF of Fractions 7060/737,1126/513 is 2/378081

Least Common Multiple of 737,513 with GCF Formula

Least Common Multiple of 737,513 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 737,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(737,513) = 1

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

GCF(737,513) x common factors =1 x 1 = 1

LCM(737,513) = ( 737 × 513 ) / 1

LCM(737,513) = 378081 / 1

LCM(737,513) = 378081


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 7060/737, 1126/513

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 7060/737, 1126/513?

Answer: GCF of Numerators as per given numbers 7060/737, 1126/513 is

GCF of Numerators i.e. for 7060,1126 is 2

LCM of denominators i.e. for 737,513 is 378081.

Thus, GCF of Fractions is 2/378081.Finally, GCF of Fractions for 7060/737, 1126/513 is 2/378081.