Greatest Common Factor of 874/44, 600/48, 348/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 874/44, 600/48, 348/10

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 874/44,600/48,348/10

Given fractions are 874/44,600/48,348/10

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 874,600,348

Greatest Common Factor of Numerators i.e. GCF of 874,600,348 is 2 .

LCM of Denominators means LCM of 44,48,10 as per the given fractions.

LCM of 44,48,10 is 2640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 874,600,348

GCF of Fractions 874/44,600/48,348/10 is 2/2640

2 874, 600, 348
437, 300, 174

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 874,600,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,600,348 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 874,600,348 . The biggest common factor number is the GCF number.
So the greatest common factor 874,600,348 is 2.

Lets's calculate LCM of 44,48,10

2 44, 48, 10
2 22, 24, 5
11, 12, 5

∴ So the LCM of the given numbers is 2 x 2 x 11 x 12 x 5 = 2640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2640

Therefore, the GCF of Fractions 874/44,600/48,348/10 is 2/2640

Least Common Multiple of 44,48,10 with GCF Formula

Least Common Multiple of 44,48,10 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 44,48,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,48,10) = 2

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

GCF(44,48,10) x common factors =2 x 4 = 8

LCM(44,48,10) = ( 44 × 48 × 10 ) / 8

LCM(44,48,10) = 21120 / 8

LCM(44,48,10) = 2640


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 874/44, 600/48, 348/10

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 874/44, 600/48, 348/10?

Answer: GCF of Numerators as per given numbers 874/44, 600/48, 348/10 is

GCF of Numerators i.e. for 874,600,348 is 2

LCM of denominators i.e. for 44,48,10 is 2640.

Thus, GCF of Fractions is 2/2640.Finally, GCF of Fractions for 874/44, 600/48, 348/10 is 2/2640.