How to Find GCF of 1721/952, 2642/7378?

GCF of 1721/952, 2642/7378

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 1721/952, 2642/7378 i.e 1/29512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1721/952, 2642/7378.

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 1721/952,2642/7378?

Given fractions are 1721/952,2642/7378

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 1721/952,2642/7378, numerators are 1721,2642

Denominators are 952,7378

The GCF of 1721,2642 is 1 .

LCM of 952,7378 is 29512.

The greatest common factor of 1721/952,2642/7378 = [GCF of 1721,2642]/[LCM of 952,7378]= 1/29512

Therefore, the GCF of 1721/952,2642/7378 is 1/29512.

Greatest Common Factor of 1721,2642

To find the highest common factor of 1721,2642, we have to find the factors of both numbers and list the highest common factor.

The factors of 1721 are 1, 1721

The factors of 2642 are 1, 2, 1321, 2642

The HCF of 1721,2642 is 1.

Lets's calculate GCF of 1721,2642

Greatest Common Factor (GCF) of 1721,2642 By Common Division

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

Greatest Common Factor of 1721,2642 By Matching Biggest Common Factor Method

Now, list down the factors of 1721

1,1721

Now, list down the factors of 2642

1,2,1321,2642

Greatest Common Factor

We found the factors 1721,2642 . The biggest common factor number is the GCF number.
So the greatest common factor 1721,2642 is 1.

Lets's calculate LCM of 952,7378

Lowest Common Multiple of 952,7378 using Common Division

2	952, 7378
7	476, 3689
17	68, 527
	4, 31

∴ So the LCM of the given numbers is 2 x 7 x 17 x 4 x 31 = 29512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29512

Therefore, the GCF of Fractions 1721/952,2642/7378 is 1/29512

Least Common Multiple of 952,7378 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 952,7378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,7378) = 238

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

GCF(952,7378) x common factors =238 x 1 = 238

LCM(952,7378) = ( 952 × 7378 ) / 238

LCM(952,7378) = 7023856 / 238

LCM(952,7378) = 29512

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FAQs on GCF of Fractions of 1721/952, 2642/7378

1. What is the HCF of 1721,2642?

The HCF of 1721,2642 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 1721/952, 2642/7378?

Answer: GCF of Numerators as per given numbers 1721/952, 2642/7378 is

GCF of Numerators i.e. for 1721,2642 is 1

LCM of denominators i.e. for 952,7378 is 29512.

Thus, GCF of Fractions is 1/29512.Finally, GCF of Fractions for 1721/952, 2642/7378 is 1/29512.