Greatest Common Factor of 7825/89, 1261/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7825/89, 1261/949

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 7825/89,1261/949

Given fractions are 7825/89,1261/949

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 7825,1261

Greatest Common Factor of Numerators i.e. GCF of 7825,1261 is 1 .

LCM of Denominators means LCM of 89,949 as per the given fractions.

LCM of 89,949 is 84461 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7825,1261

GCF of Fractions 7825/89,1261/949 is 1/84461

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

Greatest Common Factor of 7825,1261 By Matching Biggest Common Factor Method

Greatest Common Factor of 7825,1261 By Matching Biggest Common Factor Method

Factors of 7825

List of positive integer factors of 7825 that divides 7825 without a remainder.

1,5,25,313,1565,7825

Factors of 1261

List of positive integer factors of 1261 that divides 1261 without a remainder.

1,13,97,1261

Greatest Common Factor

We found the factors 7825,1261 . The biggest common factor number is the GCF number.
So the greatest common factor 7825,1261 is 1.

Lets's calculate LCM of 89,949

Given numbers has no common factors except 1. So, there LCM is their product i.e 84461

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84461

Therefore, the GCF of Fractions 7825/89,1261/949 is 1/84461

Least Common Multiple of 89,949 with GCF Formula

Least Common Multiple of 89,949 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 89,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,949) = 1

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

GCF(89,949) x common factors =1 x 1 = 1

LCM(89,949) = ( 89 × 949 ) / 1

LCM(89,949) = 84461 / 1

LCM(89,949) = 84461


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 7825/89, 1261/949

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 7825/89, 1261/949?

Answer: GCF of Numerators as per given numbers 7825/89, 1261/949 is

GCF of Numerators i.e. for 7825,1261 is 1

LCM of denominators i.e. for 89,949 is 84461.

Thus, GCF of Fractions is 1/84461.Finally, GCF of Fractions for 7825/89, 1261/949 is 1/84461.