Greatest Common Factor of 416/371, 468/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 416/371, 468/920

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 416/371,468/920

Given fractions are 416/371,468/920

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 416,468

Greatest Common Factor of Numerators i.e. GCF of 416,468 is 52 .

LCM of Denominators means LCM of 371,920 as per the given fractions.

LCM of 371,920 is 341320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 416,468

GCF of Fractions 416/371,468/920 is 52/341320

2 416, 468
2 208, 234
13 104, 117
8, 9

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 416,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,468 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 416,468 . The biggest common factor number is the GCF number.
So the greatest common factor 416,468 is 52.

Lets's calculate LCM of 371,920

Given numbers has no common factors except 1. So, there LCM is their product i.e 341320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/341320

Therefore, the GCF of Fractions 416/371,468/920 is 52/341320

Least Common Multiple of 371,920 with GCF Formula

Least Common Multiple of 371,920 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 371,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,920) = 1

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

GCF(371,920) x common factors =1 x 1 = 1

LCM(371,920) = ( 371 × 920 ) / 1

LCM(371,920) = 341320 / 1

LCM(371,920) = 341320


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 416/371, 468/920

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 416/371, 468/920?

Answer: GCF of Numerators as per given numbers 416/371, 468/920 is

GCF of Numerators i.e. for 416,468 is 52

LCM of denominators i.e. for 371,920 is 341320.

Thus, GCF of Fractions is 52/341320.Finally, GCF of Fractions for 416/371, 468/920 is 52/341320.