How to Find GCF of 631/428, 6781/7121?

GCF of 631/428, 6781/7121

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 631/428, 6781/7121 i.e 1/3047788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/428, 6781/7121.

Enter two or more fractions separated by "commas"

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

What is the GCF of 631/428,6781/7121?

Given fractions are 631/428,6781/7121

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 631/428,6781/7121, numerators are 631,6781

Denominators are 428,7121

The GCF of 631,6781 is 1 .

LCM of 428,7121 is 3047788.

The greatest common factor of 631/428,6781/7121 = [GCF of 631,6781]/[LCM of 428,7121]= 1/3047788

Therefore, the GCF of 631/428,6781/7121 is 1/3047788.

Greatest Common Factor of 631,6781

To find the highest common factor of 631,6781, we have to find the factors of both numbers and list the highest common factor.

The factors of 631 are 1, 631

The factors of 6781 are 1, 6781

The HCF of 631,6781 is 1.

Lets's calculate GCF of 631,6781

Greatest Common Factor (GCF) of 631,6781 By Common Division

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

Greatest Common Factor of 631,6781 By Matching Biggest Common Factor Method

Now, list down the factors of 631

1,631

Now, list down the factors of 6781

1,6781

Greatest Common Factor

We found the factors 631,6781 . The biggest common factor number is the GCF number.
So the greatest common factor 631,6781 is 1.

Lets's calculate LCM of 428,7121

Lowest Common Multiple of 428,7121 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3047788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3047788

Therefore, the GCF of Fractions 631/428,6781/7121 is 1/3047788

Least Common Multiple of 428,7121 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 428,7121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,7121) = 1

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

GCF(428,7121) x common factors =1 x 1 = 1

LCM(428,7121) = ( 428 × 7121 ) / 1

LCM(428,7121) = 3047788 / 1

LCM(428,7121) = 3047788

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FAQs on GCF of Fractions of 631/428, 6781/7121

1. What is the HCF of 631,6781?

The HCF of 631,6781 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 631/428, 6781/7121?

Answer: GCF of Numerators as per given numbers 631/428, 6781/7121 is

GCF of Numerators i.e. for 631,6781 is 1

LCM of denominators i.e. for 428,7121 is 3047788.

Thus, GCF of Fractions is 1/3047788.Finally, GCF of Fractions for 631/428, 6781/7121 is 1/3047788.