How to Find GCF of 2846/660, 2402/652?

GCF of 2846/660, 2402/652

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 2846/660, 2402/652 i.e 2/107580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2846/660, 2402/652.

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 2846/660,2402/652?

Given fractions are 2846/660,2402/652

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 2846/660,2402/652, numerators are 2846,2402

Denominators are 660,652

The GCF of 2846,2402 is 2 .

LCM of 660,652 is 107580.

The greatest common factor of 2846/660,2402/652 = [GCF of 2846,2402]/[LCM of 660,652]= 2/107580

Therefore, the GCF of 2846/660,2402/652 is 2/107580.

Greatest Common Factor of 2846,2402

To find the highest common factor of 2846,2402, we have to find the factors of both numbers and list the highest common factor.

The factors of 2846 are 1, 2, 1423, 2846

The factors of 2402 are 1, 2, 1201, 2402

The HCF of 2846,2402 is 2.

Lets's calculate GCF of 2846,2402

Greatest Common Factor (GCF) of 2846,2402 By Common Division

2	2846, 2402
	1423, 1201

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

Greatest Common Factor of 2846,2402 By Matching Biggest Common Factor Method

Now, list down the factors of 2846

1,2,1423,2846

Now, list down the factors of 2402

1,2,1201,2402

Greatest Common Factor

We found the factors 2846,2402 . The biggest common factor number is the GCF number.
So the greatest common factor 2846,2402 is 2.

Lets's calculate LCM of 660,652

Lowest Common Multiple of 660,652 using Common Division

2	660, 652
2	330, 326
	165, 163

∴ So the LCM of the given numbers is 2 x 2 x 165 x 163 = 107580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/107580

Therefore, the GCF of Fractions 2846/660,2402/652 is 2/107580

Least Common Multiple of 660,652 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 660,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,652) = 4

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

GCF(660,652) x common factors =4 x 1 = 4

LCM(660,652) = ( 660 × 652 ) / 4

LCM(660,652) = 430320 / 4

LCM(660,652) = 107580

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FAQs on GCF of Fractions of 2846/660, 2402/652

1. What is the HCF of 2846,2402?

The HCF of 2846,2402 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 2846/660, 2402/652?

Answer: GCF of Numerators as per given numbers 2846/660, 2402/652 is

GCF of Numerators i.e. for 2846,2402 is 2

LCM of denominators i.e. for 660,652 is 107580.

Thus, GCF of Fractions is 2/107580.Finally, GCF of Fractions for 2846/660, 2402/652 is 2/107580.