Greatest Common Factor of 293/210, 5212/8224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 293/210, 5212/8224

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 293/210,5212/8224

Given fractions are 293/210,5212/8224

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 293,5212

Greatest Common Factor of Numerators i.e. GCF of 293,5212 is 1 .

LCM of Denominators means LCM of 210,8224 as per the given fractions.

LCM of 210,8224 is 863520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 293,5212

GCF of Fractions 293/210,5212/8224 is 1/863520

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

Greatest Common Factor of 293,5212 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,5212 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 5212

List of positive integer factors of 5212 that divides 5212 without a remainder.

1,2,4,1303,2606,5212

Greatest Common Factor

We found the factors 293,5212 . The biggest common factor number is the GCF number.
So the greatest common factor 293,5212 is 1.

Lets's calculate LCM of 210,8224

2 210, 8224
105, 4112

∴ So the LCM of the given numbers is 2 x 105 x 4112 = 863520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/863520

Therefore, the GCF of Fractions 293/210,5212/8224 is 1/863520

Least Common Multiple of 210,8224 with GCF Formula

Least Common Multiple of 210,8224 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 210,8224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,8224) = 2

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

GCF(210,8224) x common factors =2 x 1 = 2

LCM(210,8224) = ( 210 × 8224 ) / 2

LCM(210,8224) = 1727040 / 2

LCM(210,8224) = 863520


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 293/210, 5212/8224

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 293/210, 5212/8224?

Answer: GCF of Numerators as per given numbers 293/210, 5212/8224 is

GCF of Numerators i.e. for 293,5212 is 1

LCM of denominators i.e. for 210,8224 is 863520.

Thus, GCF of Fractions is 1/863520.Finally, GCF of Fractions for 293/210, 5212/8224 is 1/863520.