Greatest Common Factor of 1402/224, 2176/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1402/224, 2176/410

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 1402/224,2176/410

Given fractions are 1402/224,2176/410

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 1402,2176

Greatest Common Factor of Numerators i.e. GCF of 1402,2176 is 2 .

LCM of Denominators means LCM of 224,410 as per the given fractions.

LCM of 224,410 is 45920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1402,2176

GCF of Fractions 1402/224,2176/410 is 2/45920

2 1402, 2176
701, 1088

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

Greatest Common Factor of 1402,2176 By Matching Biggest Common Factor Method

Greatest Common Factor of 1402,2176 By Matching Biggest Common Factor Method

Factors of 1402

List of positive integer factors of 1402 that divides 1402 without a remainder.

1,2,701,1402

Factors of 2176

List of positive integer factors of 2176 that divides 2176 without a remainder.

1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176

Greatest Common Factor

We found the factors 1402,2176 . The biggest common factor number is the GCF number.
So the greatest common factor 1402,2176 is 2.

Lets's calculate LCM of 224,410

2 224, 410
112, 205

∴ So the LCM of the given numbers is 2 x 112 x 205 = 45920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45920

Therefore, the GCF of Fractions 1402/224,2176/410 is 2/45920

Least Common Multiple of 224,410 with GCF Formula

Least Common Multiple of 224,410 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 224,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,410) = 2

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

GCF(224,410) x common factors =2 x 1 = 2

LCM(224,410) = ( 224 × 410 ) / 2

LCM(224,410) = 91840 / 2

LCM(224,410) = 45920


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 1402/224, 2176/410

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 1402/224, 2176/410?

Answer: GCF of Numerators as per given numbers 1402/224, 2176/410 is

GCF of Numerators i.e. for 1402,2176 is 2

LCM of denominators i.e. for 224,410 is 45920.

Thus, GCF of Fractions is 2/45920.Finally, GCF of Fractions for 1402/224, 2176/410 is 2/45920.