How to Find GCF of 7387/922, 2796/638?

GCF of 7387/922, 2796/638

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 7387/922, 2796/638 i.e 1/294118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7387/922, 2796/638.

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 7387/922,2796/638?

Given fractions are 7387/922,2796/638

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 7387/922,2796/638, numerators are 7387,2796

Denominators are 922,638

The GCF of 7387,2796 is 1 .

LCM of 922,638 is 294118.

The greatest common factor of 7387/922,2796/638 = [GCF of 7387,2796]/[LCM of 922,638]= 1/294118

Therefore, the GCF of 7387/922,2796/638 is 1/294118.

Greatest Common Factor of 7387,2796

To find the highest common factor of 7387,2796, we have to find the factors of both numbers and list the highest common factor.

The factors of 7387 are 1, 83, 89, 7387

The factors of 2796 are 1, 2, 3, 4, 6, 12, 233, 466, 699, 932, 1398, 2796

The HCF of 7387,2796 is 1.

Lets's calculate GCF of 7387,2796

Greatest Common Factor (GCF) of 7387,2796 By Common Division

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

Greatest Common Factor of 7387,2796 By Matching Biggest Common Factor Method

Now, list down the factors of 7387

1,83,89,7387

Now, list down the factors of 2796

1,2,3,4,6,12,233,466,699,932,1398,2796

Greatest Common Factor

We found the factors 7387,2796 . The biggest common factor number is the GCF number.
So the greatest common factor 7387,2796 is 1.

Lets's calculate LCM of 922,638

Lowest Common Multiple of 922,638 using Common Division

2	922, 638
	461, 319

∴ So the LCM of the given numbers is 2 x 461 x 319 = 294118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294118

Therefore, the GCF of Fractions 7387/922,2796/638 is 1/294118

Least Common Multiple of 922,638 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 922,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,638) = 2

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

GCF(922,638) x common factors =2 x 1 = 2

LCM(922,638) = ( 922 × 638 ) / 2

LCM(922,638) = 588236 / 2

LCM(922,638) = 294118

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FAQs on GCF of Fractions of 7387/922, 2796/638

1. What is the HCF of 7387,2796?

The HCF of 7387,2796 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 7387/922, 2796/638?

Answer: GCF of Numerators as per given numbers 7387/922, 2796/638 is

GCF of Numerators i.e. for 7387,2796 is 1

LCM of denominators i.e. for 922,638 is 294118.

Thus, GCF of Fractions is 1/294118.Finally, GCF of Fractions for 7387/922, 2796/638 is 1/294118.