Greatest Common Factor of 1960/434, 2215/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1960/434, 2215/959

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 1960/434,2215/959

Given fractions are 1960/434,2215/959

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 1960,2215

Greatest Common Factor of Numerators i.e. GCF of 1960,2215 is 5 .

LCM of Denominators means LCM of 434,959 as per the given fractions.

LCM of 434,959 is 59458 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1960,2215

GCF of Fractions 1960/434,2215/959 is 5/59458

5 1960, 2215
392, 443

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1960,2215 By Matching Biggest Common Factor Method

Greatest Common Factor of 1960,2215 By Matching Biggest Common Factor Method

Factors of 1960

List of positive integer factors of 1960 that divides 1960 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,49,56,70,98,140,196,245,280,392,490,980,1960

Factors of 2215

List of positive integer factors of 2215 that divides 2215 without a remainder.

1,5,443,2215

Greatest Common Factor

We found the factors 1960,2215 . The biggest common factor number is the GCF number.
So the greatest common factor 1960,2215 is 5.

Lets's calculate LCM of 434,959

7 434, 959
62, 137

∴ So the LCM of the given numbers is 7 x 62 x 137 = 59458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/59458

Therefore, the GCF of Fractions 1960/434,2215/959 is 5/59458

Least Common Multiple of 434,959 with GCF Formula

Least Common Multiple of 434,959 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 434,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,959) = 7

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

GCF(434,959) x common factors =7 x 1 = 7

LCM(434,959) = ( 434 × 959 ) / 7

LCM(434,959) = 416206 / 7

LCM(434,959) = 59458


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 1960/434, 2215/959

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 1960/434, 2215/959?

Answer: GCF of Numerators as per given numbers 1960/434, 2215/959 is

GCF of Numerators i.e. for 1960,2215 is 5

LCM of denominators i.e. for 434,959 is 59458.

Thus, GCF of Fractions is 5/59458.Finally, GCF of Fractions for 1960/434, 2215/959 is 5/59458.