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GCF of 583/85, 250/375

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 583/85, 250/375 i.e 1/6375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 583/85, 250/375.

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 583/85,250/375?

Given fractions are 583/85,250/375

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 583/85,250/375, numerators are 583,250

Denominators are 85,375

The GCF of 583,250 is 1 .

LCM of 85,375 is 6375.

The greatest common factor of 583/85,250/375 = [GCF of 583,250]/[LCM of 85,375]= 1/6375

Therefore, the GCF of 583/85,250/375 is 1/6375.

Greatest Common Factor of 583,250

To find the highest common factor of 583,250, 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 250 are 1, 2, 5, 10, 25, 50, 125, 250

The HCF of 583,250 is 1.

Lets's calculate GCF of 583,250

Greatest Common Factor (GCF) of 583,250 By Common Division

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

Greatest Common Factor of 583,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,250 By Matching Biggest Common Factor Method

Now, list down the factors of 583

:

1,11,53,583

Now, list down the factors of 250

:

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 583,250 . The biggest common factor number is the GCF number.
So the greatest common factor 583,250 is 1.

Lets's calculate LCM of 85,375

Lowest Common Multiple of 85,375 using Common Division

5 85, 375
17, 75

∴ So the LCM of the given numbers is 5 x 17 x 75 = 6375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6375

Therefore, the GCF of Fractions 583/85,250/375 is 1/6375

Least Common Multiple of 85,375 with GCF Formula

Least Common Multiple of 85,375 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 85,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,375) = 5

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

GCF(85,375) x common factors =5 x 1 = 5

LCM(85,375) = ( 85 × 375 ) / 5

LCM(85,375) = 31875 / 5

LCM(85,375) = 6375


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FAQs on GCF of Fractions of 583/85, 250/375

1. What is the HCF of 583,250?

The HCF of 583,250 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 583/85, 250/375?

Answer: GCF of Numerators as per given numbers 583/85, 250/375 is

GCF of Numerators i.e. for 583,250 is 1

LCM of denominators i.e. for 85,375 is 6375.

Thus, GCF of Fractions is 1/6375.Finally, GCF of Fractions for 583/85, 250/375 is 1/6375.