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GCF of 547/976, 585/368

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 547/976, 585/368 i.e 1/22448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 547/976, 585/368.

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 547/976,585/368?

Given fractions are 547/976,585/368

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 547/976,585/368, numerators are 547,585

Denominators are 976,368

The GCF of 547,585 is 1 .

LCM of 976,368 is 22448.

The greatest common factor of 547/976,585/368 = [GCF of 547,585]/[LCM of 976,368]= 1/22448

Therefore, the GCF of 547/976,585/368 is 1/22448.

Greatest Common Factor of 547,585

To find the highest common factor of 547,585, we have to find the factors of both numbers and list the highest common factor.

The factors of 547 are 1, 547

The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

The HCF of 547,585 is 1.

Lets's calculate GCF of 547,585

Greatest Common Factor (GCF) of 547,585 By Common Division

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

Greatest Common Factor of 547,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,585 By Matching Biggest Common Factor Method

Now, list down the factors of 547

:

1,547

Now, list down the factors of 585

:

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 547,585 . The biggest common factor number is the GCF number.
So the greatest common factor 547,585 is 1.

Lets's calculate LCM of 976,368

Lowest Common Multiple of 976,368 using Common Division

2 976, 368
2 488, 184
2 244, 92
2 122, 46
61, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 61 x 23 = 22448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22448

Therefore, the GCF of Fractions 547/976,585/368 is 1/22448

Least Common Multiple of 976,368 with GCF Formula

Least Common Multiple of 976,368 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 976,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,368) = 16

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

GCF(976,368) x common factors =16 x 1 = 16

LCM(976,368) = ( 976 × 368 ) / 16

LCM(976,368) = 359168 / 16

LCM(976,368) = 22448


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FAQs on GCF of Fractions of 547/976, 585/368

1. What is the HCF of 547,585?

The HCF of 547,585 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 547/976, 585/368?

Answer: GCF of Numerators as per given numbers 547/976, 585/368 is

GCF of Numerators i.e. for 547,585 is 1

LCM of denominators i.e. for 976,368 is 22448.

Thus, GCF of Fractions is 1/22448.Finally, GCF of Fractions for 547/976, 585/368 is 1/22448.