Greatest Common Factor of 872/103, 4946/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 872/103, 4946/350

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 872/103,4946/350

Given fractions are 872/103,4946/350

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 872,4946

Greatest Common Factor of Numerators i.e. GCF of 872,4946 is 2 .

LCM of Denominators means LCM of 103,350 as per the given fractions.

LCM of 103,350 is 36050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 872,4946

GCF of Fractions 872/103,4946/350 is 2/36050

2 872, 4946
436, 2473

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

Greatest Common Factor of 872,4946 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,4946 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 4946

List of positive integer factors of 4946 that divides 4946 without a remainder.

1,2,2473,4946

Greatest Common Factor

We found the factors 872,4946 . The biggest common factor number is the GCF number.
So the greatest common factor 872,4946 is 2.

Lets's calculate LCM of 103,350

Given numbers has no common factors except 1. So, there LCM is their product i.e 36050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36050

Therefore, the GCF of Fractions 872/103,4946/350 is 2/36050

Least Common Multiple of 103,350 with GCF Formula

Least Common Multiple of 103,350 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 103,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,350) = 1

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

GCF(103,350) x common factors =1 x 1 = 1

LCM(103,350) = ( 103 × 350 ) / 1

LCM(103,350) = 36050 / 1

LCM(103,350) = 36050


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 872/103, 4946/350

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 872/103, 4946/350?

Answer: GCF of Numerators as per given numbers 872/103, 4946/350 is

GCF of Numerators i.e. for 872,4946 is 2

LCM of denominators i.e. for 103,350 is 36050.

Thus, GCF of Fractions is 2/36050.Finally, GCF of Fractions for 872/103, 4946/350 is 2/36050.