Greatest Common Factor of 848/21, 355/32, 748/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 848/21, 355/32, 748/510

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 848/21,355/32,748/510

Given fractions are 848/21,355/32,748/510

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 848,355,748

Greatest Common Factor of Numerators i.e. GCF of 848,355,748 is 1 .

LCM of Denominators means LCM of 21,32,510 as per the given fractions.

LCM of 21,32,510 is 57120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 848,355,748

GCF of Fractions 848/21,355/32,748/510 is 1/57120

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

Greatest Common Factor of 848,355,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 848,355,748 By Matching Biggest Common Factor Method

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 848,355,748 . The biggest common factor number is the GCF number.
So the greatest common factor 848,355,748 is 1.

Lets's calculate LCM of 21,32,510

2 21, 32, 510
3 21, 16, 255
7, 16, 85

∴ So the LCM of the given numbers is 2 x 3 x 7 x 16 x 85 = 57120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57120

Therefore, the GCF of Fractions 848/21,355/32,748/510 is 1/57120

Least Common Multiple of 21,32,510 with GCF Formula

Least Common Multiple of 21,32,510 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 21,32,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,32,510) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(21,32,510) x common factors =1 x 6 = 6

LCM(21,32,510) = ( 21 × 32 × 510 ) / 6

LCM(21,32,510) = 342720 / 6

LCM(21,32,510) = 57120


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 848/21, 355/32, 748/510

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 848/21, 355/32, 748/510?

Answer: GCF of Numerators as per given numbers 848/21, 355/32, 748/510 is

GCF of Numerators i.e. for 848,355,748 is 1

LCM of denominators i.e. for 21,32,510 is 57120.

Thus, GCF of Fractions is 1/57120.Finally, GCF of Fractions for 848/21, 355/32, 748/510 is 1/57120.