Greatest Common Factor of 7071/209, 7762/6125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7071/209, 7762/6125

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 7071/209,7762/6125

Given fractions are 7071/209,7762/6125

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 7071,7762

Greatest Common Factor of Numerators i.e. GCF of 7071,7762 is 1 .

LCM of Denominators means LCM of 209,6125 as per the given fractions.

LCM of 209,6125 is 1280125 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7071,7762

GCF of Fractions 7071/209,7762/6125 is 1/1280125

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

Greatest Common Factor of 7071,7762 By Matching Biggest Common Factor Method

Greatest Common Factor of 7071,7762 By Matching Biggest Common Factor Method

Factors of 7071

List of positive integer factors of 7071 that divides 7071 without a remainder.

1,3,2357,7071

Factors of 7762

List of positive integer factors of 7762 that divides 7762 without a remainder.

1,2,3881,7762

Greatest Common Factor

We found the factors 7071,7762 . The biggest common factor number is the GCF number.
So the greatest common factor 7071,7762 is 1.

Lets's calculate LCM of 209,6125

Given numbers has no common factors except 1. So, there LCM is their product i.e 1280125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1280125

Therefore, the GCF of Fractions 7071/209,7762/6125 is 1/1280125

Least Common Multiple of 209,6125 with GCF Formula

Least Common Multiple of 209,6125 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 209,6125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,6125) = 1

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

GCF(209,6125) x common factors =1 x 1 = 1

LCM(209,6125) = ( 209 × 6125 ) / 1

LCM(209,6125) = 1280125 / 1

LCM(209,6125) = 1280125


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 7071/209, 7762/6125

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 7071/209, 7762/6125?

Answer: GCF of Numerators as per given numbers 7071/209, 7762/6125 is

GCF of Numerators i.e. for 7071,7762 is 1

LCM of denominators i.e. for 209,6125 is 1280125.

Thus, GCF of Fractions is 1/1280125.Finally, GCF of Fractions for 7071/209, 7762/6125 is 1/1280125.