How to Find GCF of 8294/393, 5678/9470?

GCF of 8294/393, 5678/9470

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 8294/393, 5678/9470 i.e 2/3721710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8294/393, 5678/9470.

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 8294/393,5678/9470?

Given fractions are 8294/393,5678/9470

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 8294/393,5678/9470, numerators are 8294,5678

Denominators are 393,9470

The GCF of 8294,5678 is 2 .

LCM of 393,9470 is 3721710.

The greatest common factor of 8294/393,5678/9470 = [GCF of 8294,5678]/[LCM of 393,9470]= 2/3721710

Therefore, the GCF of 8294/393,5678/9470 is 2/3721710.

Greatest Common Factor of 8294,5678

To find the highest common factor of 8294,5678, we have to find the factors of both numbers and list the highest common factor.

The factors of 8294 are 1, 2, 11, 13, 22, 26, 29, 58, 143, 286, 319, 377, 638, 754, 4147, 8294

The factors of 5678 are 1, 2, 17, 34, 167, 334, 2839, 5678

The HCF of 8294,5678 is 2.

Lets's calculate GCF of 8294,5678

Greatest Common Factor (GCF) of 8294,5678 By Common Division

2	8294, 5678
	4147, 2839

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

Greatest Common Factor of 8294,5678 By Matching Biggest Common Factor Method

Now, list down the factors of 8294

1,2,11,13,22,26,29,58,143,286,319,377,638,754,4147,8294

Now, list down the factors of 5678

1,2,17,34,167,334,2839,5678

Greatest Common Factor

We found the factors 8294,5678 . The biggest common factor number is the GCF number.
So the greatest common factor 8294,5678 is 2.

Lets's calculate LCM of 393,9470

Lowest Common Multiple of 393,9470 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3721710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3721710

Therefore, the GCF of Fractions 8294/393,5678/9470 is 2/3721710

Least Common Multiple of 393,9470 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 393,9470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,9470) = 1

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

GCF(393,9470) x common factors =1 x 1 = 1

LCM(393,9470) = ( 393 × 9470 ) / 1

LCM(393,9470) = 3721710 / 1

LCM(393,9470) = 3721710

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FAQs on GCF of Fractions of 8294/393, 5678/9470

1. What is the HCF of 8294,5678?

The HCF of 8294,5678 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 8294/393, 5678/9470?

Answer: GCF of Numerators as per given numbers 8294/393, 5678/9470 is

GCF of Numerators i.e. for 8294,5678 is 2

LCM of denominators i.e. for 393,9470 is 3721710.

Thus, GCF of Fractions is 2/3721710.Finally, GCF of Fractions for 8294/393, 5678/9470 is 2/3721710.