Greatest Common Factor of 3/44, 47/42, 88/473, 520/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/44, 47/42, 88/473, 520/930

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 3/44,47/42,88/473,520/930

Given fractions are 3/44,47/42,88/473,520/930

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 3,47,88,520

Greatest Common Factor of Numerators i.e. GCF of 3,47,88,520 is 1 .

LCM of Denominators means LCM of 44,42,473,930 as per the given fractions.

LCM of 44,42,473,930 is 6158460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,47,88,520

GCF of Fractions 3/44,47/42,88/473,520/930 is 1/6158460

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

Greatest Common Factor of 3,47,88,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,47,88,520 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 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 3,47,88,520 . The biggest common factor number is the GCF number.
So the greatest common factor 3,47,88,520 is 1.

Lets's calculate LCM of 44,42,473,930

2 44, 42, 473, 930
3 22, 21, 473, 465
11 22, 7, 473, 155
2, 7, 43, 155

∴ So the LCM of the given numbers is 2 x 3 x 11 x 2 x 7 x 43 x 155 = 6158460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6158460

Therefore, the GCF of Fractions 3/44,47/42,88/473,520/930 is 1/6158460

Least Common Multiple of 44,42,473,930 with GCF Formula

Least Common Multiple of 44,42,473,930 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 44,42,473,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,42,473,930) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(44,42,473,930) x common factors =1 x 132 = 132

LCM(44,42,473,930) = ( 44 × 42 × 473 × 930 ) / 132

LCM(44,42,473,930) = 812916720 / 132

LCM(44,42,473,930) = 6158460


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 3/44, 47/42, 88/473, 520/930

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 3/44, 47/42, 88/473, 520/930?

Answer: GCF of Numerators as per given numbers 3/44, 47/42, 88/473, 520/930 is

GCF of Numerators i.e. for 3,47,88,520 is 1

LCM of denominators i.e. for 44,42,473,930 is 6158460.

Thus, GCF of Fractions is 1/6158460.Finally, GCF of Fractions for 3/44, 47/42, 88/473, 520/930 is 1/6158460.