Greatest Common Factor of 8/55, 74/86, 50/857, 822/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/55, 74/86, 50/857, 822/714

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 8/55,74/86,50/857,822/714

Given fractions are 8/55,74/86,50/857,822/714

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 8,74,50,822

Greatest Common Factor of Numerators i.e. GCF of 8,74,50,822 is 2 .

LCM of Denominators means LCM of 55,86,857,714 as per the given fractions.

LCM of 55,86,857,714 is 1447138770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,74,50,822

GCF of Fractions 8/55,74/86,50/857,822/714 is 2/1447138770

2 8, 74, 50, 822
4, 37, 25, 411

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

Greatest Common Factor of 8,74,50,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,74,50,822 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 8,74,50,822 . The biggest common factor number is the GCF number.
So the greatest common factor 8,74,50,822 is 2.

Lets's calculate LCM of 55,86,857,714

2 55, 86, 857, 714
55, 43, 857, 357

∴ So the LCM of the given numbers is 2 x 55 x 43 x 857 x 357 = 1447138770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1447138770

Therefore, the GCF of Fractions 8/55,74/86,50/857,822/714 is 2/1447138770

Least Common Multiple of 55,86,857,714 with GCF Formula

Least Common Multiple of 55,86,857,714 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 55,86,857,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,86,857,714) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(55,86,857,714) x common factors =1 x 2 = 2

LCM(55,86,857,714) = ( 55 × 86 × 857 × 714 ) / 2

LCM(55,86,857,714) = 2894277540 / 2

LCM(55,86,857,714) = 1447138770


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 8/55, 74/86, 50/857, 822/714

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 8/55, 74/86, 50/857, 822/714?

Answer: GCF of Numerators as per given numbers 8/55, 74/86, 50/857, 822/714 is

GCF of Numerators i.e. for 8,74,50,822 is 2

LCM of denominators i.e. for 55,86,857,714 is 1447138770.

Thus, GCF of Fractions is 2/1447138770.Finally, GCF of Fractions for 8/55, 74/86, 50/857, 822/714 is 2/1447138770.