Greatest Common Factor of 8/50, 84/77, 64/196, 585/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/50, 84/77, 64/196, 585/686

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 8/50,84/77,64/196,585/686

Given fractions are 8/50,84/77,64/196,585/686

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 8,84,64,585

Greatest Common Factor of Numerators i.e. GCF of 8,84,64,585 is 1 .

LCM of Denominators means LCM of 50,77,196,686 as per the given fractions.

LCM of 50,77,196,686 is 377300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,84,64,585

GCF of Fractions 8/50,84/77,64/196,585/686 is 1/377300

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

Greatest Common Factor of 8,84,64,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,84,64,585 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 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 8,84,64,585 . The biggest common factor number is the GCF number.
So the greatest common factor 8,84,64,585 is 1.

Lets's calculate LCM of 50,77,196,686

2 50, 77, 196, 686
7 25, 77, 98, 343
7 25, 11, 14, 49
25, 11, 2, 7

∴ So the LCM of the given numbers is 2 x 7 x 7 x 25 x 11 x 2 x 7 = 377300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/377300

Therefore, the GCF of Fractions 8/50,84/77,64/196,585/686 is 1/377300

Least Common Multiple of 50,77,196,686 with GCF Formula

Least Common Multiple of 50,77,196,686 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 50,77,196,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,77,196,686) = 1

common factors(in case of two or more numbers have common factors) = 1372

GCF(50,77,196,686) x common factors =1 x 1372 = 1372

LCM(50,77,196,686) = ( 50 × 77 × 196 × 686 ) / 1372

LCM(50,77,196,686) = 517655600 / 1372

LCM(50,77,196,686) = 377300


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 8/50, 84/77, 64/196, 585/686

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 8/50, 84/77, 64/196, 585/686?

Answer: GCF of Numerators as per given numbers 8/50, 84/77, 64/196, 585/686 is

GCF of Numerators i.e. for 8,84,64,585 is 1

LCM of denominators i.e. for 50,77,196,686 is 377300.

Thus, GCF of Fractions is 1/377300.Finally, GCF of Fractions for 8/50, 84/77, 64/196, 585/686 is 1/377300.