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GCF of 566/61, 148/872

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 566/61, 148/872 i.e 2/53192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 566/61, 148/872.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 566/61,148/872?

Given fractions are 566/61,148/872

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 566/61,148/872, numerators are 566,148

Denominators are 61,872

The GCF of 566,148 is 2 .

LCM of 61,872 is 53192.

The greatest common factor of 566/61,148/872 = [GCF of 566,148]/[LCM of 61,872]= 2/53192

Therefore, the GCF of 566/61,148/872 is 2/53192.

Greatest Common Factor of 566,148

To find the highest common factor of 566,148, we have to find the factors of both numbers and list the highest common factor.

The factors of 566 are 1, 2, 283, 566

The factors of 148 are 1, 2, 4, 37, 74, 148

The HCF of 566,148 is 2.

Lets's calculate GCF of 566,148

Greatest Common Factor (GCF) of 566,148 By Common Division

2 566, 148
283, 74

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

Greatest Common Factor of 566,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,148 By Matching Biggest Common Factor Method

Now, list down the factors of 566

:

1,2,283,566

Now, list down the factors of 148

:

1,2,4,37,74,148

Greatest Common Factor

We found the factors 566,148 . The biggest common factor number is the GCF number.
So the greatest common factor 566,148 is 2.

Lets's calculate LCM of 61,872

Lowest Common Multiple of 61,872 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 53192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53192

Therefore, the GCF of Fractions 566/61,148/872 is 2/53192

Least Common Multiple of 61,872 with GCF Formula

Least Common Multiple of 61,872 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 61,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,872) = 1

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

GCF(61,872) x common factors =1 x 1 = 1

LCM(61,872) = ( 61 × 872 ) / 1

LCM(61,872) = 53192 / 1

LCM(61,872) = 53192


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FAQs on GCF of Fractions of 566/61, 148/872

1. What is the HCF of 566,148?

The HCF of 566,148 is 2

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 566/61, 148/872?

Answer: GCF of Numerators as per given numbers 566/61, 148/872 is

GCF of Numerators i.e. for 566,148 is 2

LCM of denominators i.e. for 61,872 is 53192.

Thus, GCF of Fractions is 2/53192.Finally, GCF of Fractions for 566/61, 148/872 is 2/53192.