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GCF of 318/137, 5143/278

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 318/137, 5143/278 i.e 1/38086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 318/137, 5143/278.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 318/137,5143/278?

Given fractions are 318/137,5143/278

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 318/137,5143/278, numerators are 318,5143

Denominators are 137,278

The GCF of 318,5143 is 1 .

LCM of 137,278 is 38086.

The greatest common factor of 318/137,5143/278 = [GCF of 318,5143]/[LCM of 137,278]= 1/38086

Therefore, the GCF of 318/137,5143/278 is 1/38086.

Greatest Common Factor of 318,5143

To find the highest common factor of 318,5143, we have to find the factors of both numbers and list the highest common factor.

The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318

The factors of 5143 are 1, 37, 139, 5143

The HCF of 318,5143 is 1.

Lets's calculate GCF of 318,5143

Greatest Common Factor (GCF) of 318,5143 By Common Division

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

Greatest Common Factor of 318,5143 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,5143 By Matching Biggest Common Factor Method

Now, list down the factors of 318

:

1,2,3,6,53,106,159,318

Now, list down the factors of 5143

:

1,37,139,5143

Greatest Common Factor

We found the factors 318,5143 . The biggest common factor number is the GCF number.
So the greatest common factor 318,5143 is 1.


Lets's calculate LCM of 137,278

Lowest Common Multiple of 137,278 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 38086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38086

Therefore, the GCF of Fractions 318/137,5143/278 is 1/38086

Least Common Multiple of 137,278 with GCF Formula

Least Common Multiple of 137,278 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 137,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,278) = 1

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

GCF(137,278) x common factors =1 x 1 = 1

LCM(137,278) = ( 137 × 278 ) / 1

LCM(137,278) = 38086 / 1

LCM(137,278) = 38086


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 318/137, 5143/278

1. What is the HCF of 318,5143?

The HCF of 318,5143 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 318/137, 5143/278?

Answer: GCF of Numerators as per given numbers 318/137, 5143/278 is

GCF of Numerators i.e. for 318,5143 is 1

LCM of denominators i.e. for 137,278 is 38086.

Thus, GCF of Fractions is 1/38086.Finally, GCF of Fractions for 318/137, 5143/278 is 1/38086.