How to Find GCF of 656/61, 232/4844?

GCF of 656/61, 232/4844

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 656/61, 232/4844 i.e 8/295484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 656/61, 232/4844.

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 656/61,232/4844?

Given fractions are 656/61,232/4844

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 656/61,232/4844, numerators are 656,232

Denominators are 61,4844

The GCF of 656,232 is 8 .

LCM of 61,4844 is 295484.

The greatest common factor of 656/61,232/4844 = [GCF of 656,232]/[LCM of 61,4844]= 8/295484

Therefore, the GCF of 656/61,232/4844 is 8/295484.

Greatest Common Factor of 656,232

To find the highest common factor of 656,232, we have to find the factors of both numbers and list the highest common factor.

The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

The factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232

The HCF of 656,232 is 8.

Lets's calculate GCF of 656,232

Greatest Common Factor (GCF) of 656,232 By Common Division

2	656, 232
2	328, 116
2	164, 58
	82, 29

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 656,232 By Matching Biggest Common Factor Method

Now, list down the factors of 656

1,2,4,8,16,41,82,164,328,656

Now, list down the factors of 232

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 656,232 . The biggest common factor number is the GCF number.
So the greatest common factor 656,232 is 8.

Lets's calculate LCM of 61,4844

Lowest Common Multiple of 61,4844 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 295484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/295484

Therefore, the GCF of Fractions 656/61,232/4844 is 8/295484

Least Common Multiple of 61,4844 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 61,4844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,4844) = 1

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

GCF(61,4844) x common factors =1 x 1 = 1

LCM(61,4844) = ( 61 × 4844 ) / 1

LCM(61,4844) = 295484 / 1

LCM(61,4844) = 295484

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FAQs on GCF of Fractions of 656/61, 232/4844

1. What is the HCF of 656,232?

The HCF of 656,232 is 8

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 656/61, 232/4844?

Answer: GCF of Numerators as per given numbers 656/61, 232/4844 is

GCF of Numerators i.e. for 656,232 is 8

LCM of denominators i.e. for 61,4844 is 295484.

Thus, GCF of Fractions is 8/295484.Finally, GCF of Fractions for 656/61, 232/4844 is 8/295484.