Greatest Common Factor of 8740/283, 9025/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8740/283, 9025/986

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 8740/283,9025/986

Given fractions are 8740/283,9025/986

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 8740,9025

Greatest Common Factor of Numerators i.e. GCF of 8740,9025 is 95 .

LCM of Denominators means LCM of 283,986 as per the given fractions.

LCM of 283,986 is 279038 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8740,9025

GCF of Fractions 8740/283,9025/986 is 95/279038

5 8740, 9025
19 1748, 1805
92, 95

∴ So the GCF of the given numbers is 5 x 19 = 95

Greatest Common Factor of 8740,9025 By Matching Biggest Common Factor Method

Greatest Common Factor of 8740,9025 By Matching Biggest Common Factor Method

Factors of 8740

List of positive integer factors of 8740 that divides 8740 without a remainder.

1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740

Factors of 9025

List of positive integer factors of 9025 that divides 9025 without a remainder.

1,5,19,25,95,361,475,1805,9025

Greatest Common Factor

We found the factors 8740,9025 . The biggest common factor number is the GCF number.
So the greatest common factor 8740,9025 is 95.

Lets's calculate LCM of 283,986

Given numbers has no common factors except 1. So, there LCM is their product i.e 279038

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 95/279038

Therefore, the GCF of Fractions 8740/283,9025/986 is 95/279038

Least Common Multiple of 283,986 with GCF Formula

Least Common Multiple of 283,986 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 283,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,986) = 1

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

GCF(283,986) x common factors =1 x 1 = 1

LCM(283,986) = ( 283 × 986 ) / 1

LCM(283,986) = 279038 / 1

LCM(283,986) = 279038


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 8740/283, 9025/986

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 8740/283, 9025/986?

Answer: GCF of Numerators as per given numbers 8740/283, 9025/986 is

GCF of Numerators i.e. for 8740,9025 is 95

LCM of denominators i.e. for 283,986 is 279038.

Thus, GCF of Fractions is 95/279038.Finally, GCF of Fractions for 8740/283, 9025/986 is 95/279038.