Greatest Common Factor of 3/36, 87/10, 32/620, 466/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/36, 87/10, 32/620, 466/682

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 3/36,87/10,32/620,466/682

Given fractions are 3/36,87/10,32/620,466/682

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 3,87,32,466

Greatest Common Factor of Numerators i.e. GCF of 3,87,32,466 is 1 .

LCM of Denominators means LCM of 36,10,620,682 as per the given fractions.

LCM of 36,10,620,682 is 61380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,87,32,466

GCF of Fractions 3/36,87/10,32/620,466/682 is 1/61380

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

Greatest Common Factor of 3,87,32,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,87,32,466 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 3,87,32,466 . The biggest common factor number is the GCF number.
So the greatest common factor 3,87,32,466 is 1.

Lets's calculate LCM of 36,10,620,682

2 36, 10, 620, 682
2 18, 5, 310, 341
5 9, 5, 155, 341
31 9, 1, 31, 341
9, 1, 1, 11

∴ So the LCM of the given numbers is 2 x 2 x 5 x 31 x 9 x 1 x 1 x 11 = 61380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61380

Therefore, the GCF of Fractions 3/36,87/10,32/620,466/682 is 1/61380

Least Common Multiple of 36,10,620,682 with GCF Formula

Least Common Multiple of 36,10,620,682 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 36,10,620,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,10,620,682) = 2

common factors(in case of two or more numbers have common factors) = 1240

GCF(36,10,620,682) x common factors =2 x 1240 = 2480

LCM(36,10,620,682) = ( 36 × 10 × 620 × 682 ) / 2480

LCM(36,10,620,682) = 152222400 / 2480

LCM(36,10,620,682) = 61380


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 3/36, 87/10, 32/620, 466/682

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 3/36, 87/10, 32/620, 466/682?

Answer: GCF of Numerators as per given numbers 3/36, 87/10, 32/620, 466/682 is

GCF of Numerators i.e. for 3,87,32,466 is 1

LCM of denominators i.e. for 36,10,620,682 is 61380.

Thus, GCF of Fractions is 1/61380.Finally, GCF of Fractions for 3/36, 87/10, 32/620, 466/682 is 1/61380.