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GCF of 852/548, 127/612

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 852/548, 127/612 i.e 1/83844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 852/548, 127/612.

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 852/548,127/612?

Given fractions are 852/548,127/612

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 852/548,127/612, numerators are 852,127

Denominators are 548,612

The GCF of 852,127 is 1 .

LCM of 548,612 is 83844.

The greatest common factor of 852/548,127/612 = [GCF of 852,127]/[LCM of 548,612]= 1/83844

Therefore, the GCF of 852/548,127/612 is 1/83844.

Greatest Common Factor of 852,127

To find the highest common factor of 852,127, we have to find the factors of both numbers and list the highest common factor.

The factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

The factors of 127 are 1, 127

The HCF of 852,127 is 1.

Lets's calculate GCF of 852,127

Greatest Common Factor (GCF) of 852,127 By Common Division

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

Greatest Common Factor of 852,127 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,127 By Matching Biggest Common Factor Method

Now, list down the factors of 852

:

1,2,3,4,6,12,71,142,213,284,426,852

Now, list down the factors of 127

:

1,127

Greatest Common Factor

We found the factors 852,127 . The biggest common factor number is the GCF number.
So the greatest common factor 852,127 is 1.

Lets's calculate LCM of 548,612

Lowest Common Multiple of 548,612 using Common Division

2 548, 612
2 274, 306
137, 153

∴ So the LCM of the given numbers is 2 x 2 x 137 x 153 = 83844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83844

Therefore, the GCF of Fractions 852/548,127/612 is 1/83844

Least Common Multiple of 548,612 with GCF Formula

Least Common Multiple of 548,612 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 548,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,612) = 4

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

GCF(548,612) x common factors =4 x 1 = 4

LCM(548,612) = ( 548 × 612 ) / 4

LCM(548,612) = 335376 / 4

LCM(548,612) = 83844


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FAQs on GCF of Fractions of 852/548, 127/612

1. What is the HCF of 852,127?

The HCF of 852,127 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 852/548, 127/612?

Answer: GCF of Numerators as per given numbers 852/548, 127/612 is

GCF of Numerators i.e. for 852,127 is 1

LCM of denominators i.e. for 548,612 is 83844.

Thus, GCF of Fractions is 1/83844.Finally, GCF of Fractions for 852/548, 127/612 is 1/83844.