How to Find GCF of 2316/196, 8329/6844?

GCF of 2316/196, 8329/6844

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 2316/196, 8329/6844 i.e 1/335356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2316/196, 8329/6844.

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 2316/196,8329/6844?

Given fractions are 2316/196,8329/6844

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 2316/196,8329/6844, numerators are 2316,8329

Denominators are 196,6844

The GCF of 2316,8329 is 1 .

LCM of 196,6844 is 335356.

The greatest common factor of 2316/196,8329/6844 = [GCF of 2316,8329]/[LCM of 196,6844]= 1/335356

Therefore, the GCF of 2316/196,8329/6844 is 1/335356.

Greatest Common Factor of 2316,8329

To find the highest common factor of 2316,8329, we have to find the factors of both numbers and list the highest common factor.

The factors of 2316 are 1, 2, 3, 4, 6, 12, 193, 386, 579, 772, 1158, 2316

The factors of 8329 are 1, 8329

The HCF of 2316,8329 is 1.

Lets's calculate GCF of 2316,8329

Greatest Common Factor (GCF) of 2316,8329 By Common Division

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

Greatest Common Factor of 2316,8329 By Matching Biggest Common Factor Method

Now, list down the factors of 2316

1,2,3,4,6,12,193,386,579,772,1158,2316

Now, list down the factors of 8329

1,8329

Greatest Common Factor

We found the factors 2316,8329 . The biggest common factor number is the GCF number.
So the greatest common factor 2316,8329 is 1.

Lets's calculate LCM of 196,6844

Lowest Common Multiple of 196,6844 using Common Division

2	196, 6844
2	98, 3422
	49, 1711

∴ So the LCM of the given numbers is 2 x 2 x 49 x 1711 = 335356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/335356

Therefore, the GCF of Fractions 2316/196,8329/6844 is 1/335356

Least Common Multiple of 196,6844 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 196,6844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,6844) = 4

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

GCF(196,6844) x common factors =4 x 1 = 4

LCM(196,6844) = ( 196 × 6844 ) / 4

LCM(196,6844) = 1341424 / 4

LCM(196,6844) = 335356

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2316/196, 8329/6844

1. What is the HCF of 2316,8329?

The HCF of 2316,8329 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 2316/196, 8329/6844?

Answer: GCF of Numerators as per given numbers 2316/196, 8329/6844 is

GCF of Numerators i.e. for 2316,8329 is 1

LCM of denominators i.e. for 196,6844 is 335356.

Thus, GCF of Fractions is 1/335356.Finally, GCF of Fractions for 2316/196, 8329/6844 is 1/335356.