Greatest Common Factor of 3944/470, 5120/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3944/470, 5120/675

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 3944/470,5120/675

Given fractions are 3944/470,5120/675

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 3944,5120

Greatest Common Factor of Numerators i.e. GCF of 3944,5120 is 8 .

LCM of Denominators means LCM of 470,675 as per the given fractions.

LCM of 470,675 is 63450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3944,5120

GCF of Fractions 3944/470,5120/675 is 8/63450

2 3944, 5120
2 1972, 2560
2 986, 1280
493, 640

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3944,5120 By Matching Biggest Common Factor Method

Greatest Common Factor of 3944,5120 By Matching Biggest Common Factor Method

Factors of 3944

List of positive integer factors of 3944 that divides 3944 without a remainder.

1,2,4,8,17,29,34,58,68,116,136,232,493,986,1972,3944

Factors of 5120

List of positive integer factors of 5120 that divides 5120 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1024,1280,2560,5120

Greatest Common Factor

We found the factors 3944,5120 . The biggest common factor number is the GCF number.
So the greatest common factor 3944,5120 is 8.

Lets's calculate LCM of 470,675

5 470, 675
94, 135

∴ So the LCM of the given numbers is 5 x 94 x 135 = 63450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/63450

Therefore, the GCF of Fractions 3944/470,5120/675 is 8/63450

Least Common Multiple of 470,675 with GCF Formula

Least Common Multiple of 470,675 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 470,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,675) = 5

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

GCF(470,675) x common factors =5 x 1 = 5

LCM(470,675) = ( 470 × 675 ) / 5

LCM(470,675) = 317250 / 5

LCM(470,675) = 63450


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 3944/470, 5120/675

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 3944/470, 5120/675?

Answer: GCF of Numerators as per given numbers 3944/470, 5120/675 is

GCF of Numerators i.e. for 3944,5120 is 8

LCM of denominators i.e. for 470,675 is 63450.

Thus, GCF of Fractions is 8/63450.Finally, GCF of Fractions for 3944/470, 5120/675 is 8/63450.