Greatest Common Factor of 6308/178, 4258/5375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6308/178, 4258/5375

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 6308/178,4258/5375

Given fractions are 6308/178,4258/5375

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 6308,4258

Greatest Common Factor of Numerators i.e. GCF of 6308,4258 is 2 .

LCM of Denominators means LCM of 178,5375 as per the given fractions.

LCM of 178,5375 is 956750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6308,4258

GCF of Fractions 6308/178,4258/5375 is 2/956750

2 6308, 4258
3154, 2129

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

Greatest Common Factor of 6308,4258 By Matching Biggest Common Factor Method

Greatest Common Factor of 6308,4258 By Matching Biggest Common Factor Method

Factors of 6308

List of positive integer factors of 6308 that divides 6308 without a remainder.

1,2,4,19,38,76,83,166,332,1577,3154,6308

Factors of 4258

List of positive integer factors of 4258 that divides 4258 without a remainder.

1,2,2129,4258

Greatest Common Factor

We found the factors 6308,4258 . The biggest common factor number is the GCF number.
So the greatest common factor 6308,4258 is 2.

Lets's calculate LCM of 178,5375

Given numbers has no common factors except 1. So, there LCM is their product i.e 956750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/956750

Therefore, the GCF of Fractions 6308/178,4258/5375 is 2/956750

Least Common Multiple of 178,5375 with GCF Formula

Least Common Multiple of 178,5375 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 178,5375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,5375) = 1

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

GCF(178,5375) x common factors =1 x 1 = 1

LCM(178,5375) = ( 178 × 5375 ) / 1

LCM(178,5375) = 956750 / 1

LCM(178,5375) = 956750


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 6308/178, 4258/5375

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 6308/178, 4258/5375?

Answer: GCF of Numerators as per given numbers 6308/178, 4258/5375 is

GCF of Numerators i.e. for 6308,4258 is 2

LCM of denominators i.e. for 178,5375 is 956750.

Thus, GCF of Fractions is 2/956750.Finally, GCF of Fractions for 6308/178, 4258/5375 is 2/956750.