How to Find GCF of 7883/416, 6331/5947?

GCF of 7883/416, 6331/5947

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 7883/416, 6331/5947 i.e 1/2473952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7883/416, 6331/5947.

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 7883/416,6331/5947?

Given fractions are 7883/416,6331/5947

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 7883/416,6331/5947, numerators are 7883,6331

Denominators are 416,5947

The GCF of 7883,6331 is 1 .

LCM of 416,5947 is 2473952.

The greatest common factor of 7883/416,6331/5947 = [GCF of 7883,6331]/[LCM of 416,5947]= 1/2473952

Therefore, the GCF of 7883/416,6331/5947 is 1/2473952.

Greatest Common Factor of 7883,6331

To find the highest common factor of 7883,6331, we have to find the factors of both numbers and list the highest common factor.

The factors of 7883 are 1, 7883

The factors of 6331 are 1, 13, 487, 6331

The HCF of 7883,6331 is 1.

Lets's calculate GCF of 7883,6331

Greatest Common Factor (GCF) of 7883,6331 By Common Division

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

Greatest Common Factor of 7883,6331 By Matching Biggest Common Factor Method

Now, list down the factors of 7883

1,7883

Now, list down the factors of 6331

1,13,487,6331

Greatest Common Factor

We found the factors 7883,6331 . The biggest common factor number is the GCF number.
So the greatest common factor 7883,6331 is 1.

Lets's calculate LCM of 416,5947

Lowest Common Multiple of 416,5947 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2473952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2473952

Therefore, the GCF of Fractions 7883/416,6331/5947 is 1/2473952

Least Common Multiple of 416,5947 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 416,5947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,5947) = 1

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

GCF(416,5947) x common factors =1 x 1 = 1

LCM(416,5947) = ( 416 × 5947 ) / 1

LCM(416,5947) = 2473952 / 1

LCM(416,5947) = 2473952

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FAQs on GCF of Fractions of 7883/416, 6331/5947

1. What is the HCF of 7883,6331?

The HCF of 7883,6331 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 7883/416, 6331/5947?

Answer: GCF of Numerators as per given numbers 7883/416, 6331/5947 is

GCF of Numerators i.e. for 7883,6331 is 1

LCM of denominators i.e. for 416,5947 is 2473952.

Thus, GCF of Fractions is 1/2473952.Finally, GCF of Fractions for 7883/416, 6331/5947 is 1/2473952.