How to Find GCF of 2842/438, 7321/7646?

GCF of 2842/438, 7321/7646

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 2842/438, 7321/7646 i.e 1/1674474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2842/438, 7321/7646.

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 2842/438,7321/7646?

Given fractions are 2842/438,7321/7646

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 2842/438,7321/7646, numerators are 2842,7321

Denominators are 438,7646

The GCF of 2842,7321 is 1 .

LCM of 438,7646 is 1674474.

The greatest common factor of 2842/438,7321/7646 = [GCF of 2842,7321]/[LCM of 438,7646]= 1/1674474

Therefore, the GCF of 2842/438,7321/7646 is 1/1674474.

Greatest Common Factor of 2842,7321

To find the highest common factor of 2842,7321, we have to find the factors of both numbers and list the highest common factor.

The factors of 2842 are 1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842

The factors of 7321 are 1, 7321

The HCF of 2842,7321 is 1.

Lets's calculate GCF of 2842,7321

Greatest Common Factor (GCF) of 2842,7321 By Common Division

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

Greatest Common Factor of 2842,7321 By Matching Biggest Common Factor Method

Now, list down the factors of 2842

1,2,7,14,29,49,58,98,203,406,1421,2842

Now, list down the factors of 7321

1,7321

Greatest Common Factor

We found the factors 2842,7321 . The biggest common factor number is the GCF number.
So the greatest common factor 2842,7321 is 1.

Lets's calculate LCM of 438,7646

Lowest Common Multiple of 438,7646 using Common Division

2	438, 7646
	219, 3823

∴ So the LCM of the given numbers is 2 x 219 x 3823 = 1674474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1674474

Therefore, the GCF of Fractions 2842/438,7321/7646 is 1/1674474

Least Common Multiple of 438,7646 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 438,7646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,7646) = 2

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

GCF(438,7646) x common factors =2 x 1 = 2

LCM(438,7646) = ( 438 × 7646 ) / 2

LCM(438,7646) = 3348948 / 2

LCM(438,7646) = 1674474

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FAQs on GCF of Fractions of 2842/438, 7321/7646

1. What is the HCF of 2842,7321?

The HCF of 2842,7321 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 2842/438, 7321/7646?

Answer: GCF of Numerators as per given numbers 2842/438, 7321/7646 is

GCF of Numerators i.e. for 2842,7321 is 1

LCM of denominators i.e. for 438,7646 is 1674474.

Thus, GCF of Fractions is 1/1674474.Finally, GCF of Fractions for 2842/438, 7321/7646 is 1/1674474.