How to Find GCF of 1975/584, 4244/2548?

GCF of 1975/584, 4244/2548

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 1975/584, 4244/2548 i.e 1/372008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1975/584, 4244/2548.

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 1975/584,4244/2548?

Given fractions are 1975/584,4244/2548

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 1975/584,4244/2548, numerators are 1975,4244

Denominators are 584,2548

The GCF of 1975,4244 is 1 .

LCM of 584,2548 is 372008.

The greatest common factor of 1975/584,4244/2548 = [GCF of 1975,4244]/[LCM of 584,2548]= 1/372008

Therefore, the GCF of 1975/584,4244/2548 is 1/372008.

Greatest Common Factor of 1975,4244

To find the highest common factor of 1975,4244, we have to find the factors of both numbers and list the highest common factor.

The factors of 1975 are 1, 5, 25, 79, 395, 1975

The factors of 4244 are 1, 2, 4, 1061, 2122, 4244

The HCF of 1975,4244 is 1.

Lets's calculate GCF of 1975,4244

Greatest Common Factor (GCF) of 1975,4244 By Common Division

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

Greatest Common Factor of 1975,4244 By Matching Biggest Common Factor Method

Now, list down the factors of 1975

1,5,25,79,395,1975

Now, list down the factors of 4244

1,2,4,1061,2122,4244

Greatest Common Factor

We found the factors 1975,4244 . The biggest common factor number is the GCF number.
So the greatest common factor 1975,4244 is 1.

Lets's calculate LCM of 584,2548

Lowest Common Multiple of 584,2548 using Common Division

2	584, 2548
2	292, 1274
	146, 637

∴ So the LCM of the given numbers is 2 x 2 x 146 x 637 = 372008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/372008

Therefore, the GCF of Fractions 1975/584,4244/2548 is 1/372008

Least Common Multiple of 584,2548 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 584,2548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,2548) = 4

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

GCF(584,2548) x common factors =4 x 1 = 4

LCM(584,2548) = ( 584 × 2548 ) / 4

LCM(584,2548) = 1488032 / 4

LCM(584,2548) = 372008

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1975/584, 4244/2548

1. What is the HCF of 1975,4244?

The HCF of 1975,4244 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 1975/584, 4244/2548?

Answer: GCF of Numerators as per given numbers 1975/584, 4244/2548 is

GCF of Numerators i.e. for 1975,4244 is 1

LCM of denominators i.e. for 584,2548 is 372008.

Thus, GCF of Fractions is 1/372008.Finally, GCF of Fractions for 1975/584, 4244/2548 is 1/372008.