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GCF of 7947/480, 6423/397

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 7947/480, 6423/397 i.e 3/190560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7947/480, 6423/397.

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 7947/480,6423/397?

Given fractions are 7947/480,6423/397

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 7947/480,6423/397, numerators are 7947,6423

Denominators are 480,397

The GCF of 7947,6423 is 3 .

LCM of 480,397 is 190560.

The greatest common factor of 7947/480,6423/397 = [GCF of 7947,6423]/[LCM of 480,397]= 3/190560

Therefore, the GCF of 7947/480,6423/397 is 3/190560.

Greatest Common Factor of 7947,6423

To find the highest common factor of 7947,6423, we have to find the factors of both numbers and list the highest common factor.

The factors of 7947 are 1, 3, 9, 883, 2649, 7947

The factors of 6423 are 1, 3, 2141, 6423

The HCF of 7947,6423 is 3.

Lets's calculate GCF of 7947,6423

Greatest Common Factor (GCF) of 7947,6423 By Common Division

3 7947, 6423
2649, 2141

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7947,6423 By Matching Biggest Common Factor Method

Greatest Common Factor of 7947,6423 By Matching Biggest Common Factor Method

Now, list down the factors of 7947

:

1,3,9,883,2649,7947

Now, list down the factors of 6423

:

1,3,2141,6423

Greatest Common Factor

We found the factors 7947,6423 . The biggest common factor number is the GCF number.
So the greatest common factor 7947,6423 is 3.

Lets's calculate LCM of 480,397

Lowest Common Multiple of 480,397 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 190560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/190560

Therefore, the GCF of Fractions 7947/480,6423/397 is 3/190560

Least Common Multiple of 480,397 with GCF Formula

Least Common Multiple of 480,397 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 480,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,397) = 1

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

GCF(480,397) x common factors =1 x 1 = 1

LCM(480,397) = ( 480 × 397 ) / 1

LCM(480,397) = 190560 / 1

LCM(480,397) = 190560


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FAQs on GCF of Fractions of 7947/480, 6423/397

1. What is the HCF of 7947,6423?

The HCF of 7947,6423 is 3

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 7947/480, 6423/397?

Answer: GCF of Numerators as per given numbers 7947/480, 6423/397 is

GCF of Numerators i.e. for 7947,6423 is 3

LCM of denominators i.e. for 480,397 is 190560.

Thus, GCF of Fractions is 3/190560.Finally, GCF of Fractions for 7947/480, 6423/397 is 3/190560.