Greatest Common Factor of 787/857, 5350/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 787/857, 5350/632

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 787/857,5350/632

Given fractions are 787/857,5350/632

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 787,5350

Greatest Common Factor of Numerators i.e. GCF of 787,5350 is 1 .

LCM of Denominators means LCM of 857,632 as per the given fractions.

LCM of 857,632 is 541624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 787,5350

GCF of Fractions 787/857,5350/632 is 1/541624

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

Greatest Common Factor of 787,5350 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,5350 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 5350

List of positive integer factors of 5350 that divides 5350 without a remainder.

1,2,5,10,25,50,107,214,535,1070,2675,5350

Greatest Common Factor

We found the factors 787,5350 . The biggest common factor number is the GCF number.
So the greatest common factor 787,5350 is 1.

Lets's calculate LCM of 857,632

Given numbers has no common factors except 1. So, there LCM is their product i.e 541624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/541624

Therefore, the GCF of Fractions 787/857,5350/632 is 1/541624

Least Common Multiple of 857,632 with GCF Formula

Least Common Multiple of 857,632 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 857,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(857,632) = 1

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

GCF(857,632) x common factors =1 x 1 = 1

LCM(857,632) = ( 857 × 632 ) / 1

LCM(857,632) = 541624 / 1

LCM(857,632) = 541624


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 787/857, 5350/632

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 787/857, 5350/632?

Answer: GCF of Numerators as per given numbers 787/857, 5350/632 is

GCF of Numerators i.e. for 787,5350 is 1

LCM of denominators i.e. for 857,632 is 541624.

Thus, GCF of Fractions is 1/541624.Finally, GCF of Fractions for 787/857, 5350/632 is 1/541624.