Greatest Common Factor of 418/88, 896/2370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 418/88, 896/2370

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 418/88,896/2370

Given fractions are 418/88,896/2370

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 418,896

Greatest Common Factor of Numerators i.e. GCF of 418,896 is 2 .

LCM of Denominators means LCM of 88,2370 as per the given fractions.

LCM of 88,2370 is 104280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 418,896

GCF of Fractions 418/88,896/2370 is 2/104280

2 418, 896
209, 448

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

Greatest Common Factor of 418,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,896 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

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

Greatest Common Factor

We found the factors 418,896 . The biggest common factor number is the GCF number.
So the greatest common factor 418,896 is 2.

Lets's calculate LCM of 88,2370

2 88, 2370
44, 1185

∴ So the LCM of the given numbers is 2 x 44 x 1185 = 104280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/104280

Therefore, the GCF of Fractions 418/88,896/2370 is 2/104280

Least Common Multiple of 88,2370 with GCF Formula

Least Common Multiple of 88,2370 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 88,2370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,2370) = 2

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

GCF(88,2370) x common factors =2 x 1 = 2

LCM(88,2370) = ( 88 × 2370 ) / 2

LCM(88,2370) = 208560 / 2

LCM(88,2370) = 104280


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 418/88, 896/2370

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 418/88, 896/2370?

Answer: GCF of Numerators as per given numbers 418/88, 896/2370 is

GCF of Numerators i.e. for 418,896 is 2

LCM of denominators i.e. for 88,2370 is 104280.

Thus, GCF of Fractions is 2/104280.Finally, GCF of Fractions for 418/88, 896/2370 is 2/104280.