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GCF of 301/247, 1237/948

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 301/247, 1237/948 i.e 1/234156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 301/247, 1237/948.

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 301/247,1237/948?

Given fractions are 301/247,1237/948

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 301/247,1237/948, numerators are 301,1237

Denominators are 247,948

The GCF of 301,1237 is 1 .

LCM of 247,948 is 234156.

The greatest common factor of 301/247,1237/948 = [GCF of 301,1237]/[LCM of 247,948]= 1/234156

Therefore, the GCF of 301/247,1237/948 is 1/234156.

Greatest Common Factor of 301,1237

To find the highest common factor of 301,1237, we have to find the factors of both numbers and list the highest common factor.

The factors of 301 are 1, 7, 43, 301

The factors of 1237 are 1, 1237

The HCF of 301,1237 is 1.

Lets's calculate GCF of 301,1237

Greatest Common Factor (GCF) of 301,1237 By Common Division

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

Greatest Common Factor of 301,1237 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,1237 By Matching Biggest Common Factor Method

Now, list down the factors of 301

:

1,7,43,301

Now, list down the factors of 1237

:

1,1237

Greatest Common Factor

We found the factors 301,1237 . The biggest common factor number is the GCF number.
So the greatest common factor 301,1237 is 1.

Lets's calculate LCM of 247,948

Lowest Common Multiple of 247,948 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 234156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/234156

Therefore, the GCF of Fractions 301/247,1237/948 is 1/234156

Least Common Multiple of 247,948 with GCF Formula

Least Common Multiple of 247,948 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 247,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,948) = 1

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

GCF(247,948) x common factors =1 x 1 = 1

LCM(247,948) = ( 247 × 948 ) / 1

LCM(247,948) = 234156 / 1

LCM(247,948) = 234156


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FAQs on GCF of Fractions of 301/247, 1237/948

1. What is the HCF of 301,1237?

The HCF of 301,1237 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 301/247, 1237/948?

Answer: GCF of Numerators as per given numbers 301/247, 1237/948 is

GCF of Numerators i.e. for 301,1237 is 1

LCM of denominators i.e. for 247,948 is 234156.

Thus, GCF of Fractions is 1/234156.Finally, GCF of Fractions for 301/247, 1237/948 is 1/234156.