Greatest Common Factor of 413/860, 2120/5290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 413/860, 2120/5290

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 413/860,2120/5290

Given fractions are 413/860,2120/5290

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 413,2120

Greatest Common Factor of Numerators i.e. GCF of 413,2120 is 1 .

LCM of Denominators means LCM of 860,5290 as per the given fractions.

LCM of 860,5290 is 454940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 413,2120

GCF of Fractions 413/860,2120/5290 is 1/454940

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

Greatest Common Factor of 413,2120 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,2120 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 2120

List of positive integer factors of 2120 that divides 2120 without a remainder.

1,2,4,5,8,10,20,40,53,106,212,265,424,530,1060,2120

Greatest Common Factor

We found the factors 413,2120 . The biggest common factor number is the GCF number.
So the greatest common factor 413,2120 is 1.

Lets's calculate LCM of 860,5290

2 860, 5290
5 430, 2645
86, 529

∴ So the LCM of the given numbers is 2 x 5 x 86 x 529 = 454940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/454940

Therefore, the GCF of Fractions 413/860,2120/5290 is 1/454940

Least Common Multiple of 860,5290 with GCF Formula

Least Common Multiple of 860,5290 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 860,5290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,5290) = 10

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

GCF(860,5290) x common factors =10 x 1 = 10

LCM(860,5290) = ( 860 × 5290 ) / 10

LCM(860,5290) = 4549400 / 10

LCM(860,5290) = 454940


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 413/860, 2120/5290

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 413/860, 2120/5290?

Answer: GCF of Numerators as per given numbers 413/860, 2120/5290 is

GCF of Numerators i.e. for 413,2120 is 1

LCM of denominators i.e. for 860,5290 is 454940.

Thus, GCF of Fractions is 1/454940.Finally, GCF of Fractions for 413/860, 2120/5290 is 1/454940.