Greatest Common Factor of 440/947, 460/632, 873/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 440/947, 460/632, 873/364

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 440/947,460/632,873/364

Given fractions are 440/947,460/632,873/364

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 440,460,873

Greatest Common Factor of Numerators i.e. GCF of 440,460,873 is 1 .

LCM of Denominators means LCM of 947,632,364 as per the given fractions.

LCM of 947,632,364 is 54463864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 440,460,873

GCF of Fractions 440/947,460/632,873/364 is 1/54463864

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

Greatest Common Factor of 440,460,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,460,873 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 440,460,873 . The biggest common factor number is the GCF number.
So the greatest common factor 440,460,873 is 1.

Lets's calculate LCM of 947,632,364

2 947, 632, 364
2 947, 316, 182
947, 158, 91

∴ So the LCM of the given numbers is 2 x 2 x 947 x 158 x 91 = 54463864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54463864

Therefore, the GCF of Fractions 440/947,460/632,873/364 is 1/54463864

Least Common Multiple of 947,632,364 with GCF Formula

Least Common Multiple of 947,632,364 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 947,632,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,632,364) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(947,632,364) x common factors =1 x 4 = 4

LCM(947,632,364) = ( 947 × 632 × 364 ) / 4

LCM(947,632,364) = 217855456 / 4

LCM(947,632,364) = 54463864


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 440/947, 460/632, 873/364

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 440/947, 460/632, 873/364?

Answer: GCF of Numerators as per given numbers 440/947, 460/632, 873/364 is

GCF of Numerators i.e. for 440,460,873 is 1

LCM of denominators i.e. for 947,632,364 is 54463864.

Thus, GCF of Fractions is 1/54463864.Finally, GCF of Fractions for 440/947, 460/632, 873/364 is 1/54463864.