Greatest Common Factor of 1057/69, 3962/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1057/69, 3962/610

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 1057/69,3962/610

Given fractions are 1057/69,3962/610

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 1057,3962

Greatest Common Factor of Numerators i.e. GCF of 1057,3962 is 7 .

LCM of Denominators means LCM of 69,610 as per the given fractions.

LCM of 69,610 is 42090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1057,3962

GCF of Fractions 1057/69,3962/610 is 7/42090

7 1057, 3962
151, 566

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

Greatest Common Factor of 1057,3962 By Matching Biggest Common Factor Method

Greatest Common Factor of 1057,3962 By Matching Biggest Common Factor Method

Factors of 1057

List of positive integer factors of 1057 that divides 1057 without a remainder.

1,7,151,1057

Factors of 3962

List of positive integer factors of 3962 that divides 3962 without a remainder.

1,2,7,14,283,566,1981,3962

Greatest Common Factor

We found the factors 1057,3962 . The biggest common factor number is the GCF number.
So the greatest common factor 1057,3962 is 7.

Lets's calculate LCM of 69,610

Given numbers has no common factors except 1. So, there LCM is their product i.e 42090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/42090

Therefore, the GCF of Fractions 1057/69,3962/610 is 7/42090

Least Common Multiple of 69,610 with GCF Formula

Least Common Multiple of 69,610 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 69,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,610) = 1

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

GCF(69,610) x common factors =1 x 1 = 1

LCM(69,610) = ( 69 × 610 ) / 1

LCM(69,610) = 42090 / 1

LCM(69,610) = 42090


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 1057/69, 3962/610

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 1057/69, 3962/610?

Answer: GCF of Numerators as per given numbers 1057/69, 3962/610 is

GCF of Numerators i.e. for 1057,3962 is 7

LCM of denominators i.e. for 69,610 is 42090.

Thus, GCF of Fractions is 7/42090.Finally, GCF of Fractions for 1057/69, 3962/610 is 7/42090.