How to Find GCF of 3642/938, 2651/7218?

GCF of 3642/938, 2651/7218

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 3642/938, 2651/7218 i.e 1/3385242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3642/938, 2651/7218.

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 3642/938,2651/7218?

Given fractions are 3642/938,2651/7218

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 3642/938,2651/7218, numerators are 3642,2651

Denominators are 938,7218

The GCF of 3642,2651 is 1 .

LCM of 938,7218 is 3385242.

The greatest common factor of 3642/938,2651/7218 = [GCF of 3642,2651]/[LCM of 938,7218]= 1/3385242

Therefore, the GCF of 3642/938,2651/7218 is 1/3385242.

Greatest Common Factor of 3642,2651

To find the highest common factor of 3642,2651, we have to find the factors of both numbers and list the highest common factor.

The factors of 3642 are 1, 2, 3, 6, 607, 1214, 1821, 3642

The factors of 2651 are 1, 11, 241, 2651

The HCF of 3642,2651 is 1.

Lets's calculate GCF of 3642,2651

Greatest Common Factor (GCF) of 3642,2651 By Common Division

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

Greatest Common Factor of 3642,2651 By Matching Biggest Common Factor Method

Now, list down the factors of 3642

1,2,3,6,607,1214,1821,3642

Now, list down the factors of 2651

1,11,241,2651

Greatest Common Factor

We found the factors 3642,2651 . The biggest common factor number is the GCF number.
So the greatest common factor 3642,2651 is 1.

Lets's calculate LCM of 938,7218

Lowest Common Multiple of 938,7218 using Common Division

2	938, 7218
	469, 3609

∴ So the LCM of the given numbers is 2 x 469 x 3609 = 3385242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3385242

Therefore, the GCF of Fractions 3642/938,2651/7218 is 1/3385242

Least Common Multiple of 938,7218 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 938,7218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,7218) = 2

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

GCF(938,7218) x common factors =2 x 1 = 2

LCM(938,7218) = ( 938 × 7218 ) / 2

LCM(938,7218) = 6770484 / 2

LCM(938,7218) = 3385242

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FAQs on GCF of Fractions of 3642/938, 2651/7218

1. What is the HCF of 3642,2651?

The HCF of 3642,2651 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 3642/938, 2651/7218?

Answer: GCF of Numerators as per given numbers 3642/938, 2651/7218 is

GCF of Numerators i.e. for 3642,2651 is 1

LCM of denominators i.e. for 938,7218 is 3385242.

Thus, GCF of Fractions is 1/3385242.Finally, GCF of Fractions for 3642/938, 2651/7218 is 1/3385242.