Greatest Common Factor of 8977/774, 5850/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8977/774, 5850/286

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 8977/774,5850/286

Given fractions are 8977/774,5850/286

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 8977,5850

Greatest Common Factor of Numerators i.e. GCF of 8977,5850 is 1 .

LCM of Denominators means LCM of 774,286 as per the given fractions.

LCM of 774,286 is 110682 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8977,5850

GCF of Fractions 8977/774,5850/286 is 1/110682

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

Greatest Common Factor of 8977,5850 By Matching Biggest Common Factor Method

Greatest Common Factor of 8977,5850 By Matching Biggest Common Factor Method

Factors of 8977

List of positive integer factors of 8977 that divides 8977 without a remainder.

1,47,191,8977

Factors of 5850

List of positive integer factors of 5850 that divides 5850 without a remainder.

1,2,3,5,6,9,10,13,15,18,25,26,30,39,45,50,65,75,78,90,117,130,150,195,225,234,325,390,450,585,650,975,1170,1950,2925,5850

Greatest Common Factor

We found the factors 8977,5850 . The biggest common factor number is the GCF number.
So the greatest common factor 8977,5850 is 1.

Lets's calculate LCM of 774,286

2 774, 286
387, 143

∴ So the LCM of the given numbers is 2 x 387 x 143 = 110682

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110682

Therefore, the GCF of Fractions 8977/774,5850/286 is 1/110682

Least Common Multiple of 774,286 with GCF Formula

Least Common Multiple of 774,286 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 774,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,286) = 2

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

GCF(774,286) x common factors =2 x 1 = 2

LCM(774,286) = ( 774 × 286 ) / 2

LCM(774,286) = 221364 / 2

LCM(774,286) = 110682


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 8977/774, 5850/286

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 8977/774, 5850/286?

Answer: GCF of Numerators as per given numbers 8977/774, 5850/286 is

GCF of Numerators i.e. for 8977,5850 is 1

LCM of denominators i.e. for 774,286 is 110682.

Thus, GCF of Fractions is 1/110682.Finally, GCF of Fractions for 8977/774, 5850/286 is 1/110682.