Greatest Common Factor of 1520/43, 4314/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1520/43, 4314/955

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 1520/43,4314/955

Given fractions are 1520/43,4314/955

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 1520,4314

Greatest Common Factor of Numerators i.e. GCF of 1520,4314 is 2 .

LCM of Denominators means LCM of 43,955 as per the given fractions.

LCM of 43,955 is 41065 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1520,4314

GCF of Fractions 1520/43,4314/955 is 2/41065

2 1520, 4314
760, 2157

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

Greatest Common Factor of 1520,4314 By Matching Biggest Common Factor Method

Greatest Common Factor of 1520,4314 By Matching Biggest Common Factor Method

Factors of 1520

List of positive integer factors of 1520 that divides 1520 without a remainder.

1,2,4,5,8,10,16,19,20,38,40,76,80,95,152,190,304,380,760,1520

Factors of 4314

List of positive integer factors of 4314 that divides 4314 without a remainder.

1,2,3,6,719,1438,2157,4314

Greatest Common Factor

We found the factors 1520,4314 . The biggest common factor number is the GCF number.
So the greatest common factor 1520,4314 is 2.

Lets's calculate LCM of 43,955

Given numbers has no common factors except 1. So, there LCM is their product i.e 41065

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41065

Therefore, the GCF of Fractions 1520/43,4314/955 is 2/41065

Least Common Multiple of 43,955 with GCF Formula

Least Common Multiple of 43,955 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 43,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,955) = 1

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

GCF(43,955) x common factors =1 x 1 = 1

LCM(43,955) = ( 43 × 955 ) / 1

LCM(43,955) = 41065 / 1

LCM(43,955) = 41065


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 1520/43, 4314/955

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 1520/43, 4314/955?

Answer: GCF of Numerators as per given numbers 1520/43, 4314/955 is

GCF of Numerators i.e. for 1520,4314 is 2

LCM of denominators i.e. for 43,955 is 41065.

Thus, GCF of Fractions is 2/41065.Finally, GCF of Fractions for 1520/43, 4314/955 is 2/41065.