How to Find GCF of 8219/928, 2102/4926?

GCF of 8219/928, 2102/4926

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 8219/928, 2102/4926 i.e 1/2285664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8219/928, 2102/4926.

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 8219/928,2102/4926?

Given fractions are 8219/928,2102/4926

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 8219/928,2102/4926, numerators are 8219,2102

Denominators are 928,4926

The GCF of 8219,2102 is 1 .

LCM of 928,4926 is 2285664.

The greatest common factor of 8219/928,2102/4926 = [GCF of 8219,2102]/[LCM of 928,4926]= 1/2285664

Therefore, the GCF of 8219/928,2102/4926 is 1/2285664.

Greatest Common Factor of 8219,2102

To find the highest common factor of 8219,2102, we have to find the factors of both numbers and list the highest common factor.

The factors of 8219 are 1, 8219

The factors of 2102 are 1, 2, 1051, 2102

The HCF of 8219,2102 is 1.

Lets's calculate GCF of 8219,2102

Greatest Common Factor (GCF) of 8219,2102 By Common Division

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

Greatest Common Factor of 8219,2102 By Matching Biggest Common Factor Method

Now, list down the factors of 8219

1,8219

Now, list down the factors of 2102

1,2,1051,2102

Greatest Common Factor

We found the factors 8219,2102 . The biggest common factor number is the GCF number.
So the greatest common factor 8219,2102 is 1.

Lets's calculate LCM of 928,4926

Lowest Common Multiple of 928,4926 using Common Division

2	928, 4926
	464, 2463

∴ So the LCM of the given numbers is 2 x 464 x 2463 = 2285664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2285664

Therefore, the GCF of Fractions 8219/928,2102/4926 is 1/2285664

Least Common Multiple of 928,4926 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 928,4926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,4926) = 2

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

GCF(928,4926) x common factors =2 x 1 = 2

LCM(928,4926) = ( 928 × 4926 ) / 2

LCM(928,4926) = 4571328 / 2

LCM(928,4926) = 2285664

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FAQs on GCF of Fractions of 8219/928, 2102/4926

1. What is the HCF of 8219,2102?

The HCF of 8219,2102 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 8219/928, 2102/4926?

Answer: GCF of Numerators as per given numbers 8219/928, 2102/4926 is

GCF of Numerators i.e. for 8219,2102 is 1

LCM of denominators i.e. for 928,4926 is 2285664.

Thus, GCF of Fractions is 1/2285664.Finally, GCF of Fractions for 8219/928, 2102/4926 is 1/2285664.