How to Find GCF of 4657/552, 7649/4950?

GCF of 4657/552, 7649/4950

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 4657/552, 7649/4950 i.e 1/455400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4657/552, 7649/4950.

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 4657/552,7649/4950?

Given fractions are 4657/552,7649/4950

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 4657/552,7649/4950, numerators are 4657,7649

Denominators are 552,4950

The GCF of 4657,7649 is 1 .

LCM of 552,4950 is 455400.

The greatest common factor of 4657/552,7649/4950 = [GCF of 4657,7649]/[LCM of 552,4950]= 1/455400

Therefore, the GCF of 4657/552,7649/4950 is 1/455400.

Greatest Common Factor of 4657,7649

To find the highest common factor of 4657,7649, 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 7649 are 1, 7649

The HCF of 4657,7649 is 1.

Lets's calculate GCF of 4657,7649

Greatest Common Factor (GCF) of 4657,7649 By Common Division

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

Greatest Common Factor of 4657,7649 By Matching Biggest Common Factor Method

Now, list down the factors of 4657

1,4657

Now, list down the factors of 7649

1,7649

Greatest Common Factor

We found the factors 4657,7649 . The biggest common factor number is the GCF number.
So the greatest common factor 4657,7649 is 1.

Lets's calculate LCM of 552,4950

Lowest Common Multiple of 552,4950 using Common Division

2	552, 4950
3	276, 2475
	92, 825

∴ So the LCM of the given numbers is 2 x 3 x 92 x 825 = 455400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/455400

Therefore, the GCF of Fractions 4657/552,7649/4950 is 1/455400

Least Common Multiple of 552,4950 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 552,4950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,4950) = 6

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

GCF(552,4950) x common factors =6 x 1 = 6

LCM(552,4950) = ( 552 × 4950 ) / 6

LCM(552,4950) = 2732400 / 6

LCM(552,4950) = 455400

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FAQs on GCF of Fractions of 4657/552, 7649/4950

1. What is the HCF of 4657,7649?

The HCF of 4657,7649 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 4657/552, 7649/4950?

Answer: GCF of Numerators as per given numbers 4657/552, 7649/4950 is

GCF of Numerators i.e. for 4657,7649 is 1

LCM of denominators i.e. for 552,4950 is 455400.

Thus, GCF of Fractions is 1/455400.Finally, GCF of Fractions for 4657/552, 7649/4950 is 1/455400.