Greatest Common Factor of 232/22, 194/78, 695/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 232/22, 194/78, 695/309

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 232/22,194/78,695/309

Given fractions are 232/22,194/78,695/309

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 232,194,695

Greatest Common Factor of Numerators i.e. GCF of 232,194,695 is 1 .

LCM of Denominators means LCM of 22,78,309 as per the given fractions.

LCM of 22,78,309 is 88374 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 232,194,695

GCF of Fractions 232/22,194/78,695/309 is 1/88374

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

Greatest Common Factor of 232,194,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,194,695 By Matching Biggest Common Factor Method

Factors of 232

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

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

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 232,194,695 . The biggest common factor number is the GCF number.
So the greatest common factor 232,194,695 is 1.

Lets's calculate LCM of 22,78,309

2 22, 78, 309
3 11, 39, 309
11, 13, 103

∴ So the LCM of the given numbers is 2 x 3 x 11 x 13 x 103 = 88374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88374

Therefore, the GCF of Fractions 232/22,194/78,695/309 is 1/88374

Least Common Multiple of 22,78,309 with GCF Formula

Least Common Multiple of 22,78,309 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 22,78,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,78,309) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(22,78,309) x common factors =1 x 6 = 6

LCM(22,78,309) = ( 22 × 78 × 309 ) / 6

LCM(22,78,309) = 530244 / 6

LCM(22,78,309) = 88374


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 232/22, 194/78, 695/309

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 232/22, 194/78, 695/309?

Answer: GCF of Numerators as per given numbers 232/22, 194/78, 695/309 is

GCF of Numerators i.e. for 232,194,695 is 1

LCM of denominators i.e. for 22,78,309 is 88374.

Thus, GCF of Fractions is 1/88374.Finally, GCF of Fractions for 232/22, 194/78, 695/309 is 1/88374.