How to Find GCF of 7362/179, 7844/2938?

GCF of 7362/179, 7844/2938

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 7362/179, 7844/2938 i.e 2/525902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7362/179, 7844/2938.

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 7362/179,7844/2938?

Given fractions are 7362/179,7844/2938

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 7362/179,7844/2938, numerators are 7362,7844

Denominators are 179,2938

The GCF of 7362,7844 is 2 .

LCM of 179,2938 is 525902.

The greatest common factor of 7362/179,7844/2938 = [GCF of 7362,7844]/[LCM of 179,2938]= 2/525902

Therefore, the GCF of 7362/179,7844/2938 is 2/525902.

Greatest Common Factor of 7362,7844

To find the highest common factor of 7362,7844, we have to find the factors of both numbers and list the highest common factor.

The factors of 7362 are 1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362

The factors of 7844 are 1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922, 7844

The HCF of 7362,7844 is 2.

Lets's calculate GCF of 7362,7844

Greatest Common Factor (GCF) of 7362,7844 By Common Division

2	7362, 7844
	3681, 3922

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7362,7844 By Matching Biggest Common Factor Method

Now, list down the factors of 7362

1,2,3,6,9,18,409,818,1227,2454,3681,7362

Now, list down the factors of 7844

1,2,4,37,53,74,106,148,212,1961,3922,7844

Greatest Common Factor

We found the factors 7362,7844 . The biggest common factor number is the GCF number.
So the greatest common factor 7362,7844 is 2.

Lets's calculate LCM of 179,2938

Lowest Common Multiple of 179,2938 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 525902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/525902

Therefore, the GCF of Fractions 7362/179,7844/2938 is 2/525902

Least Common Multiple of 179,2938 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 179,2938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,2938) = 1

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

GCF(179,2938) x common factors =1 x 1 = 1

LCM(179,2938) = ( 179 × 2938 ) / 1

LCM(179,2938) = 525902 / 1

LCM(179,2938) = 525902

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FAQs on GCF of Fractions of 7362/179, 7844/2938

1. What is the HCF of 7362,7844?

The HCF of 7362,7844 is 2

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 7362/179, 7844/2938?

Answer: GCF of Numerators as per given numbers 7362/179, 7844/2938 is

GCF of Numerators i.e. for 7362,7844 is 2

LCM of denominators i.e. for 179,2938 is 525902.

Thus, GCF of Fractions is 2/525902.Finally, GCF of Fractions for 7362/179, 7844/2938 is 2/525902.