Greatest Common Factor of 463/87, 640/36, 608/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 463/87, 640/36, 608/428

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 463/87,640/36,608/428

Given fractions are 463/87,640/36,608/428

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 463,640,608

Greatest Common Factor of Numerators i.e. GCF of 463,640,608 is 1 .

LCM of Denominators means LCM of 87,36,428 as per the given fractions.

LCM of 87,36,428 is 111708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 463,640,608

GCF of Fractions 463/87,640/36,608/428 is 1/111708

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

Greatest Common Factor of 463,640,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,640,608 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 463,640,608 . The biggest common factor number is the GCF number.
So the greatest common factor 463,640,608 is 1.

Lets's calculate LCM of 87,36,428

2 87, 36, 428
2 87, 18, 214
3 87, 9, 107
29, 3, 107

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 3 x 107 = 111708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111708

Therefore, the GCF of Fractions 463/87,640/36,608/428 is 1/111708

Least Common Multiple of 87,36,428 with GCF Formula

Least Common Multiple of 87,36,428 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 87,36,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,36,428) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(87,36,428) x common factors =1 x 12 = 12

LCM(87,36,428) = ( 87 × 36 × 428 ) / 12

LCM(87,36,428) = 1340496 / 12

LCM(87,36,428) = 111708


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 463/87, 640/36, 608/428

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 463/87, 640/36, 608/428?

Answer: GCF of Numerators as per given numbers 463/87, 640/36, 608/428 is

GCF of Numerators i.e. for 463,640,608 is 1

LCM of denominators i.e. for 87,36,428 is 111708.

Thus, GCF of Fractions is 1/111708.Finally, GCF of Fractions for 463/87, 640/36, 608/428 is 1/111708.