Greatest Common Factor of 896/48, 4270/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 896/48, 4270/852

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 896/48,4270/852

Given fractions are 896/48,4270/852

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 896,4270

Greatest Common Factor of Numerators i.e. GCF of 896,4270 is 14 .

LCM of Denominators means LCM of 48,852 as per the given fractions.

LCM of 48,852 is 3408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 896,4270

GCF of Fractions 896/48,4270/852 is 14/3408

2 896, 4270
7 448, 2135
64, 305

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 896,4270 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,4270 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 4270

List of positive integer factors of 4270 that divides 4270 without a remainder.

1,2,5,7,10,14,35,61,70,122,305,427,610,854,2135,4270

Greatest Common Factor

We found the factors 896,4270 . The biggest common factor number is the GCF number.
So the greatest common factor 896,4270 is 14.

Lets's calculate LCM of 48,852

2 48, 852
2 24, 426
3 12, 213
4, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 71 = 3408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3408

Therefore, the GCF of Fractions 896/48,4270/852 is 14/3408

Least Common Multiple of 48,852 with GCF Formula

Least Common Multiple of 48,852 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 48,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,852) = 12

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

GCF(48,852) x common factors =12 x 1 = 12

LCM(48,852) = ( 48 × 852 ) / 12

LCM(48,852) = 40896 / 12

LCM(48,852) = 3408


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 896/48, 4270/852

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 896/48, 4270/852?

Answer: GCF of Numerators as per given numbers 896/48, 4270/852 is

GCF of Numerators i.e. for 896,4270 is 14

LCM of denominators i.e. for 48,852 is 3408.

Thus, GCF of Fractions is 14/3408.Finally, GCF of Fractions for 896/48, 4270/852 is 14/3408.