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GCF of 584/77, 132/6617

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 584/77, 132/6617 i.e 4/509509 easily. The following is the detailed procedure to determine the greatest common factor of fractions 584/77, 132/6617.

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 584/77,132/6617?

Given fractions are 584/77,132/6617

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 584/77,132/6617, numerators are 584,132

Denominators are 77,6617

The GCF of 584,132 is 4 .

LCM of 77,6617 is 509509.

The greatest common factor of 584/77,132/6617 = [GCF of 584,132]/[LCM of 77,6617]= 4/509509

Therefore, the GCF of 584/77,132/6617 is 4/509509.

Greatest Common Factor of 584,132

To find the highest common factor of 584,132, we have to find the factors of both numbers and list the highest common factor.

The factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584

The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

The HCF of 584,132 is 4.

Lets's calculate GCF of 584,132

Greatest Common Factor (GCF) of 584,132 By Common Division

2 584, 132
2 292, 66
146, 33

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 584,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,132 By Matching Biggest Common Factor Method

Now, list down the factors of 584

:

1,2,4,8,73,146,292,584

Now, list down the factors of 132

:

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 584,132 . The biggest common factor number is the GCF number.
So the greatest common factor 584,132 is 4.

Lets's calculate LCM of 77,6617

Lowest Common Multiple of 77,6617 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 509509

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/509509

Therefore, the GCF of Fractions 584/77,132/6617 is 4/509509

Least Common Multiple of 77,6617 with GCF Formula

Least Common Multiple of 77,6617 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 77,6617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,6617) = 1

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

GCF(77,6617) x common factors =1 x 1 = 1

LCM(77,6617) = ( 77 × 6617 ) / 1

LCM(77,6617) = 509509 / 1

LCM(77,6617) = 509509


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FAQs on GCF of Fractions of 584/77, 132/6617

1. What is the HCF of 584,132?

The HCF of 584,132 is 4

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 584/77, 132/6617?

Answer: GCF of Numerators as per given numbers 584/77, 132/6617 is

GCF of Numerators i.e. for 584,132 is 4

LCM of denominators i.e. for 77,6617 is 509509.

Thus, GCF of Fractions is 4/509509.Finally, GCF of Fractions for 584/77, 132/6617 is 4/509509.