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GCF of 583/250, 8979/532

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 583/250, 8979/532 i.e 1/66500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 583/250, 8979/532.

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 583/250,8979/532?

Given fractions are 583/250,8979/532

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 583/250,8979/532, numerators are 583,8979

Denominators are 250,532

The GCF of 583,8979 is 1 .

LCM of 250,532 is 66500.

The greatest common factor of 583/250,8979/532 = [GCF of 583,8979]/[LCM of 250,532]= 1/66500

Therefore, the GCF of 583/250,8979/532 is 1/66500.

Greatest Common Factor of 583,8979

To find the highest common factor of 583,8979, we have to find the factors of both numbers and list the highest common factor.

The factors of 583 are 1, 11, 53, 583

The factors of 8979 are 1, 3, 41, 73, 123, 219, 2993, 8979

The HCF of 583,8979 is 1.

Lets's calculate GCF of 583,8979

Greatest Common Factor (GCF) of 583,8979 By Common Division

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

Greatest Common Factor of 583,8979 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,8979 By Matching Biggest Common Factor Method

Now, list down the factors of 583

:

1,11,53,583

Now, list down the factors of 8979

:

1,3,41,73,123,219,2993,8979

Greatest Common Factor

We found the factors 583,8979 . The biggest common factor number is the GCF number.
So the greatest common factor 583,8979 is 1.

Lets's calculate LCM of 250,532

Lowest Common Multiple of 250,532 using Common Division

2 250, 532
125, 266

∴ So the LCM of the given numbers is 2 x 125 x 266 = 66500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66500

Therefore, the GCF of Fractions 583/250,8979/532 is 1/66500

Least Common Multiple of 250,532 with GCF Formula

Least Common Multiple of 250,532 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 250,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,532) = 2

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

GCF(250,532) x common factors =2 x 1 = 2

LCM(250,532) = ( 250 × 532 ) / 2

LCM(250,532) = 133000 / 2

LCM(250,532) = 66500


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FAQs on GCF of Fractions of 583/250, 8979/532

1. What is the HCF of 583,8979?

The HCF of 583,8979 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 583/250, 8979/532?

Answer: GCF of Numerators as per given numbers 583/250, 8979/532 is

GCF of Numerators i.e. for 583,8979 is 1

LCM of denominators i.e. for 250,532 is 66500.

Thus, GCF of Fractions is 1/66500.Finally, GCF of Fractions for 583/250, 8979/532 is 1/66500.