Greatest Common Factor of 161/10, 517/4264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 161/10, 517/4264

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 161/10,517/4264

Given fractions are 161/10,517/4264

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 161,517

Greatest Common Factor of Numerators i.e. GCF of 161,517 is 1 .

LCM of Denominators means LCM of 10,4264 as per the given fractions.

LCM of 10,4264 is 21320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 161,517

GCF of Fractions 161/10,517/4264 is 1/21320

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

Greatest Common Factor of 161,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,517 By Matching Biggest Common Factor Method

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 161,517 . The biggest common factor number is the GCF number.
So the greatest common factor 161,517 is 1.

Lets's calculate LCM of 10,4264

2 10, 4264
5, 2132

∴ So the LCM of the given numbers is 2 x 5 x 2132 = 21320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21320

Therefore, the GCF of Fractions 161/10,517/4264 is 1/21320

Least Common Multiple of 10,4264 with GCF Formula

Least Common Multiple of 10,4264 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 10,4264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,4264) = 2

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

GCF(10,4264) x common factors =2 x 1 = 2

LCM(10,4264) = ( 10 × 4264 ) / 2

LCM(10,4264) = 42640 / 2

LCM(10,4264) = 21320


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 161/10, 517/4264

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 161/10, 517/4264?

Answer: GCF of Numerators as per given numbers 161/10, 517/4264 is

GCF of Numerators i.e. for 161,517 is 1

LCM of denominators i.e. for 10,4264 is 21320.

Thus, GCF of Fractions is 1/21320.Finally, GCF of Fractions for 161/10, 517/4264 is 1/21320.