Greatest Common Factor of 4630/670, 1872/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4630/670, 1872/960

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 4630/670,1872/960

Given fractions are 4630/670,1872/960

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 4630,1872

Greatest Common Factor of Numerators i.e. GCF of 4630,1872 is 2 .

LCM of Denominators means LCM of 670,960 as per the given fractions.

LCM of 670,960 is 64320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4630,1872

GCF of Fractions 4630/670,1872/960 is 2/64320

2 4630, 1872
2315, 936

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

Greatest Common Factor of 4630,1872 By Matching Biggest Common Factor Method

Greatest Common Factor of 4630,1872 By Matching Biggest Common Factor Method

Factors of 4630

List of positive integer factors of 4630 that divides 4630 without a remainder.

1,2,5,10,463,926,2315,4630

Factors of 1872

List of positive integer factors of 1872 that divides 1872 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,36,39,48,52,72,78,104,117,144,156,208,234,312,468,624,936,1872

Greatest Common Factor

We found the factors 4630,1872 . The biggest common factor number is the GCF number.
So the greatest common factor 4630,1872 is 2.

Lets's calculate LCM of 670,960

2 670, 960
5 335, 480
67, 96

∴ So the LCM of the given numbers is 2 x 5 x 67 x 96 = 64320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/64320

Therefore, the GCF of Fractions 4630/670,1872/960 is 2/64320

Least Common Multiple of 670,960 with GCF Formula

Least Common Multiple of 670,960 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 670,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,960) = 10

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

GCF(670,960) x common factors =10 x 1 = 10

LCM(670,960) = ( 670 × 960 ) / 10

LCM(670,960) = 643200 / 10

LCM(670,960) = 64320


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 4630/670, 1872/960

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 4630/670, 1872/960?

Answer: GCF of Numerators as per given numbers 4630/670, 1872/960 is

GCF of Numerators i.e. for 4630,1872 is 2

LCM of denominators i.e. for 670,960 is 64320.

Thus, GCF of Fractions is 2/64320.Finally, GCF of Fractions for 4630/670, 1872/960 is 2/64320.