Greatest Common Factor of 70/296, 312/513, 232/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/296, 312/513, 232/346

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 70/296,312/513,232/346

Given fractions are 70/296,312/513,232/346

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 70,312,232

Greatest Common Factor of Numerators i.e. GCF of 70,312,232 is 2 .

LCM of Denominators means LCM of 296,513,346 as per the given fractions.

LCM of 296,513,346 is 26269704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,312,232

GCF of Fractions 70/296,312/513,232/346 is 2/26269704

2 70, 312, 232
35, 156, 116

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

Greatest Common Factor of 70,312,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,312,232 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 70,312,232 . The biggest common factor number is the GCF number.
So the greatest common factor 70,312,232 is 2.

Lets's calculate LCM of 296,513,346

2 296, 513, 346
148, 513, 173

∴ So the LCM of the given numbers is 2 x 148 x 513 x 173 = 26269704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26269704

Therefore, the GCF of Fractions 70/296,312/513,232/346 is 2/26269704

Least Common Multiple of 296,513,346 with GCF Formula

Least Common Multiple of 296,513,346 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 296,513,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,513,346) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(296,513,346) x common factors =1 x 2 = 2

LCM(296,513,346) = ( 296 × 513 × 346 ) / 2

LCM(296,513,346) = 52539408 / 2

LCM(296,513,346) = 26269704


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 70/296, 312/513, 232/346

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 70/296, 312/513, 232/346?

Answer: GCF of Numerators as per given numbers 70/296, 312/513, 232/346 is

GCF of Numerators i.e. for 70,312,232 is 2

LCM of denominators i.e. for 296,513,346 is 26269704.

Thus, GCF of Fractions is 2/26269704.Finally, GCF of Fractions for 70/296, 312/513, 232/346 is 2/26269704.