How to Find GCF of 657/496, 7850/144?

GCF of 657/496, 7850/144

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 657/496, 7850/144 i.e 1/4464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 657/496, 7850/144.

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 657/496,7850/144?

Given fractions are 657/496,7850/144

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 657/496,7850/144, numerators are 657,7850

Denominators are 496,144

The GCF of 657,7850 is 1 .

LCM of 496,144 is 4464.

The greatest common factor of 657/496,7850/144 = [GCF of 657,7850]/[LCM of 496,144]= 1/4464

Therefore, the GCF of 657/496,7850/144 is 1/4464.

Greatest Common Factor of 657,7850

To find the highest common factor of 657,7850, we have to find the factors of both numbers and list the highest common factor.

The factors of 657 are 1, 3, 9, 73, 219, 657

The factors of 7850 are 1, 2, 5, 10, 25, 50, 157, 314, 785, 1570, 3925, 7850

The HCF of 657,7850 is 1.

Lets's calculate GCF of 657,7850

Greatest Common Factor (GCF) of 657,7850 By Common Division

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

Greatest Common Factor of 657,7850 By Matching Biggest Common Factor Method

Now, list down the factors of 657

1,3,9,73,219,657

Now, list down the factors of 7850

1,2,5,10,25,50,157,314,785,1570,3925,7850

Greatest Common Factor

We found the factors 657,7850 . The biggest common factor number is the GCF number.
So the greatest common factor 657,7850 is 1.

Lets's calculate LCM of 496,144

Lowest Common Multiple of 496,144 using Common Division

2	496, 144
2	248, 72
2	124, 36
2	62, 18
	31, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 31 x 9 = 4464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4464

Therefore, the GCF of Fractions 657/496,7850/144 is 1/4464

Least Common Multiple of 496,144 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 496,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,144) = 16

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

GCF(496,144) x common factors =16 x 1 = 16

LCM(496,144) = ( 496 × 144 ) / 16

LCM(496,144) = 71424 / 16

LCM(496,144) = 4464

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FAQs on GCF of Fractions of 657/496, 7850/144

1. What is the HCF of 657,7850?

The HCF of 657,7850 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 657/496, 7850/144?

Answer: GCF of Numerators as per given numbers 657/496, 7850/144 is

GCF of Numerators i.e. for 657,7850 is 1

LCM of denominators i.e. for 496,144 is 4464.

Thus, GCF of Fractions is 1/4464.Finally, GCF of Fractions for 657/496, 7850/144 is 1/4464.