How to Find GCF of 7457/632, 5453/7782?

GCF of 7457/632, 5453/7782

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 7457/632, 5453/7782 i.e 1/2459112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7457/632, 5453/7782.

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 7457/632,5453/7782?

Given fractions are 7457/632,5453/7782

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 7457/632,5453/7782, numerators are 7457,5453

Denominators are 632,7782

The GCF of 7457,5453 is 1 .

LCM of 632,7782 is 2459112.

The greatest common factor of 7457/632,5453/7782 = [GCF of 7457,5453]/[LCM of 632,7782]= 1/2459112

Therefore, the GCF of 7457/632,5453/7782 is 1/2459112.

Greatest Common Factor of 7457,5453

To find the highest common factor of 7457,5453, we have to find the factors of both numbers and list the highest common factor.

The factors of 7457 are 1, 7457

The factors of 5453 are 1, 7, 19, 41, 133, 287, 779, 5453

The HCF of 7457,5453 is 1.

Lets's calculate GCF of 7457,5453

Greatest Common Factor (GCF) of 7457,5453 By Common Division

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

Greatest Common Factor of 7457,5453 By Matching Biggest Common Factor Method

Now, list down the factors of 7457

1,7457

Now, list down the factors of 5453

1,7,19,41,133,287,779,5453

Greatest Common Factor

We found the factors 7457,5453 . The biggest common factor number is the GCF number.
So the greatest common factor 7457,5453 is 1.

Lets's calculate LCM of 632,7782

Lowest Common Multiple of 632,7782 using Common Division

2	632, 7782
	316, 3891

∴ So the LCM of the given numbers is 2 x 316 x 3891 = 2459112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2459112

Therefore, the GCF of Fractions 7457/632,5453/7782 is 1/2459112

Least Common Multiple of 632,7782 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 632,7782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,7782) = 2

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

GCF(632,7782) x common factors =2 x 1 = 2

LCM(632,7782) = ( 632 × 7782 ) / 2

LCM(632,7782) = 4918224 / 2

LCM(632,7782) = 2459112

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FAQs on GCF of Fractions of 7457/632, 5453/7782

1. What is the HCF of 7457,5453?

The HCF of 7457,5453 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 7457/632, 5453/7782?

Answer: GCF of Numerators as per given numbers 7457/632, 5453/7782 is

GCF of Numerators i.e. for 7457,5453 is 1

LCM of denominators i.e. for 632,7782 is 2459112.

Thus, GCF of Fractions is 1/2459112.Finally, GCF of Fractions for 7457/632, 5453/7782 is 1/2459112.