How to Find GCF of 50/40, 31/56, 583/375?

GCF of 50/40, 31/56, 583/375

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 50/40, 31/56, 583/375 i.e 1/21000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/40, 31/56, 583/375.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 50/40,31/56,583/375?

Given fractions are 50/40,31/56,583/375

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 50/40,31/56,583/375, numerators are 50,31,583

Denominators are 40,56,375

The GCF of 50,31,583 is 1 .

LCM of 40,56,375 is 21000.

The greatest common factor of 50/40,31/56,583/375 = [GCF of 50,31,583]/[LCM of 40,56,375]= 1/21000

Therefore, the GCF of 50/40,31/56,583/375 is 1/21000.

Greatest Common Factor of 50,31,583

To find the highest common factor of 50,31,583, we have to find the factors of both numbers and list the highest common factor.

The factors of 50 are 1, 2, 5, 10, 25, 50

The factors of 31 are 1, 31

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

The HCF of 50,31,583 is 1.

Lets's calculate GCF of 50,31,583

Greatest Common Factor (GCF) of 50,31,583 By Common Division

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

Greatest Common Factor of 50,31,583 By Matching Biggest Common Factor Method

Now, list down the factors of 50

1,2,5,10,25,50

Now, list down the factors of 31

1,31

Now, list down the factors of 583

1,11,53,583

Greatest Common Factor

We found the factors 50,31,583 . The biggest common factor number is the GCF number.
So the greatest common factor 50,31,583 is 1.

Lets's calculate LCM of 40,56,375

Lowest Common Multiple of 40,56,375 using Common Division

2	40, 56, 375
2	20, 28, 375
2	10, 14, 375
5	5, 7, 375
	1, 7, 75

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 7 x 75 = 21000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21000

Therefore, the GCF of Fractions 50/40,31/56,583/375 is 1/21000

Least Common Multiple of 40,56,375 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 40,56,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,56,375) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(40,56,375) x common factors =1 x 40 = 40

LCM(40,56,375) = ( 40 × 56 × 375 ) / 40

LCM(40,56,375) = 840000 / 40

LCM(40,56,375) = 21000

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 50/40, 31/56, 583/375

1. What is the HCF of 50,31,583?

The HCF of 50,31,583 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 50/40, 31/56, 583/375?

Answer: GCF of Numerators as per given numbers 50/40, 31/56, 583/375 is

GCF of Numerators i.e. for 50,31,583 is 1

LCM of denominators i.e. for 40,56,375 is 21000.

Thus, GCF of Fractions is 1/21000.Finally, GCF of Fractions for 50/40, 31/56, 583/375 is 1/21000.