Greatest Common Factor of 262/52, 8722/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 262/52, 8722/650

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 262/52,8722/650

Given fractions are 262/52,8722/650

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 262,8722

Greatest Common Factor of Numerators i.e. GCF of 262,8722 is 2 .

LCM of Denominators means LCM of 52,650 as per the given fractions.

LCM of 52,650 is 1300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 262,8722

GCF of Fractions 262/52,8722/650 is 2/1300

2 262, 8722
131, 4361

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

Greatest Common Factor of 262,8722 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,8722 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 8722

List of positive integer factors of 8722 that divides 8722 without a remainder.

1,2,7,14,49,89,98,178,623,1246,4361,8722

Greatest Common Factor

We found the factors 262,8722 . The biggest common factor number is the GCF number.
So the greatest common factor 262,8722 is 2.

Lets's calculate LCM of 52,650

2 52, 650
13 26, 325
2, 25

∴ So the LCM of the given numbers is 2 x 13 x 2 x 25 = 1300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1300

Therefore, the GCF of Fractions 262/52,8722/650 is 2/1300

Least Common Multiple of 52,650 with GCF Formula

Least Common Multiple of 52,650 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 52,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,650) = 26

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

GCF(52,650) x common factors =26 x 1 = 26

LCM(52,650) = ( 52 × 650 ) / 26

LCM(52,650) = 33800 / 26

LCM(52,650) = 1300


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 262/52, 8722/650

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 262/52, 8722/650?

Answer: GCF of Numerators as per given numbers 262/52, 8722/650 is

GCF of Numerators i.e. for 262,8722 is 2

LCM of denominators i.e. for 52,650 is 1300.

Thus, GCF of Fractions is 2/1300.Finally, GCF of Fractions for 262/52, 8722/650 is 2/1300.