How to Find GCF of 4657/772, 4567/5412?

GCF of 4657/772, 4567/5412

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 4657/772, 4567/5412 i.e 1/1044516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4657/772, 4567/5412.

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 4657/772,4567/5412?

Given fractions are 4657/772,4567/5412

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 4657/772,4567/5412, numerators are 4657,4567

Denominators are 772,5412

The GCF of 4657,4567 is 1 .

LCM of 772,5412 is 1044516.

The greatest common factor of 4657/772,4567/5412 = [GCF of 4657,4567]/[LCM of 772,5412]= 1/1044516

Therefore, the GCF of 4657/772,4567/5412 is 1/1044516.

Greatest Common Factor of 4657,4567

To find the highest common factor of 4657,4567, we have to find the factors of both numbers and list the highest common factor.

The factors of 4657 are 1, 4657

The factors of 4567 are 1, 4567

The HCF of 4657,4567 is 1.

Lets's calculate GCF of 4657,4567

Greatest Common Factor (GCF) of 4657,4567 By Common Division

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

Greatest Common Factor of 4657,4567 By Matching Biggest Common Factor Method

Now, list down the factors of 4657

1,4657

Now, list down the factors of 4567

1,4567

Greatest Common Factor

We found the factors 4657,4567 . The biggest common factor number is the GCF number.
So the greatest common factor 4657,4567 is 1.

Lets's calculate LCM of 772,5412

Lowest Common Multiple of 772,5412 using Common Division

2	772, 5412
2	386, 2706
	193, 1353

∴ So the LCM of the given numbers is 2 x 2 x 193 x 1353 = 1044516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1044516

Therefore, the GCF of Fractions 4657/772,4567/5412 is 1/1044516

Least Common Multiple of 772,5412 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 772,5412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,5412) = 4

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

GCF(772,5412) x common factors =4 x 1 = 4

LCM(772,5412) = ( 772 × 5412 ) / 4

LCM(772,5412) = 4178064 / 4

LCM(772,5412) = 1044516

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FAQs on GCF of Fractions of 4657/772, 4567/5412

1. What is the HCF of 4657,4567?

The HCF of 4657,4567 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 4657/772, 4567/5412?

Answer: GCF of Numerators as per given numbers 4657/772, 4567/5412 is

GCF of Numerators i.e. for 4657,4567 is 1

LCM of denominators i.e. for 772,5412 is 1044516.

Thus, GCF of Fractions is 1/1044516.Finally, GCF of Fractions for 4657/772, 4567/5412 is 1/1044516.