How to Find GCF of 7132/663, 2257/6439?

GCF of 7132/663, 2257/6439

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 7132/663, 2257/6439 i.e 1/4269057 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7132/663, 2257/6439.

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 7132/663,2257/6439?

Given fractions are 7132/663,2257/6439

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 7132/663,2257/6439, numerators are 7132,2257

Denominators are 663,6439

The GCF of 7132,2257 is 1 .

LCM of 663,6439 is 4269057.

The greatest common factor of 7132/663,2257/6439 = [GCF of 7132,2257]/[LCM of 663,6439]= 1/4269057

Therefore, the GCF of 7132/663,2257/6439 is 1/4269057.

Greatest Common Factor of 7132,2257

To find the highest common factor of 7132,2257, we have to find the factors of both numbers and list the highest common factor.

The factors of 7132 are 1, 2, 4, 1783, 3566, 7132

The factors of 2257 are 1, 37, 61, 2257

The HCF of 7132,2257 is 1.

Lets's calculate GCF of 7132,2257

Greatest Common Factor (GCF) of 7132,2257 By Common Division

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

Greatest Common Factor of 7132,2257 By Matching Biggest Common Factor Method

Now, list down the factors of 7132

1,2,4,1783,3566,7132

Now, list down the factors of 2257

1,37,61,2257

Greatest Common Factor

We found the factors 7132,2257 . The biggest common factor number is the GCF number.
So the greatest common factor 7132,2257 is 1.

Lets's calculate LCM of 663,6439

Lowest Common Multiple of 663,6439 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4269057

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4269057

Therefore, the GCF of Fractions 7132/663,2257/6439 is 1/4269057

Least Common Multiple of 663,6439 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 663,6439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,6439) = 1

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

GCF(663,6439) x common factors =1 x 1 = 1

LCM(663,6439) = ( 663 × 6439 ) / 1

LCM(663,6439) = 4269057 / 1

LCM(663,6439) = 4269057

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FAQs on GCF of Fractions of 7132/663, 2257/6439

1. What is the HCF of 7132,2257?

The HCF of 7132,2257 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 7132/663, 2257/6439?

Answer: GCF of Numerators as per given numbers 7132/663, 2257/6439 is

GCF of Numerators i.e. for 7132,2257 is 1

LCM of denominators i.e. for 663,6439 is 4269057.

Thus, GCF of Fractions is 1/4269057.Finally, GCF of Fractions for 7132/663, 2257/6439 is 1/4269057.