Greatest Common Factor of 388/42, 364/5231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 388/42, 364/5231

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 388/42,364/5231

Given fractions are 388/42,364/5231

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 388,364

Greatest Common Factor of Numerators i.e. GCF of 388,364 is 4 .

LCM of Denominators means LCM of 42,5231 as per the given fractions.

LCM of 42,5231 is 219702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 388,364

GCF of Fractions 388/42,364/5231 is 4/219702

2 388, 364
2 194, 182
97, 91

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 388,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,364 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 388,364 . The biggest common factor number is the GCF number.
So the greatest common factor 388,364 is 4.

Lets's calculate LCM of 42,5231

Given numbers has no common factors except 1. So, there LCM is their product i.e 219702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/219702

Therefore, the GCF of Fractions 388/42,364/5231 is 4/219702

Least Common Multiple of 42,5231 with GCF Formula

Least Common Multiple of 42,5231 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 42,5231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,5231) = 1

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

GCF(42,5231) x common factors =1 x 1 = 1

LCM(42,5231) = ( 42 × 5231 ) / 1

LCM(42,5231) = 219702 / 1

LCM(42,5231) = 219702


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 388/42, 364/5231

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 388/42, 364/5231?

Answer: GCF of Numerators as per given numbers 388/42, 364/5231 is

GCF of Numerators i.e. for 388,364 is 4

LCM of denominators i.e. for 42,5231 is 219702.

Thus, GCF of Fractions is 4/219702.Finally, GCF of Fractions for 388/42, 364/5231 is 4/219702.