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GCF of 1402/246, 3461/2368

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 1402/246, 3461/2368 i.e 1/291264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1402/246, 3461/2368.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1402/246,3461/2368?

Given fractions are 1402/246,3461/2368

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 1402/246,3461/2368, numerators are 1402,3461

Denominators are 246,2368

The GCF of 1402,3461 is 1 .

LCM of 246,2368 is 291264.

The greatest common factor of 1402/246,3461/2368 = [GCF of 1402,3461]/[LCM of 246,2368]= 1/291264

Therefore, the GCF of 1402/246,3461/2368 is 1/291264.

Greatest Common Factor of 1402,3461

To find the highest common factor of 1402,3461, we have to find the factors of both numbers and list the highest common factor.

The factors of 1402 are 1, 2, 701, 1402

The factors of 3461 are 1, 3461

The HCF of 1402,3461 is 1.

Lets's calculate GCF of 1402,3461

Greatest Common Factor (GCF) of 1402,3461 By Common Division

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

Greatest Common Factor of 1402,3461 By Matching Biggest Common Factor Method

Greatest Common Factor of 1402,3461 By Matching Biggest Common Factor Method

Now, list down the factors of 1402

:

1,2,701,1402

Now, list down the factors of 3461

:

1,3461

Greatest Common Factor

We found the factors 1402,3461 . The biggest common factor number is the GCF number.
So the greatest common factor 1402,3461 is 1.

Lets's calculate LCM of 246,2368

Lowest Common Multiple of 246,2368 using Common Division

2 246, 2368
123, 1184

∴ So the LCM of the given numbers is 2 x 123 x 1184 = 291264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291264

Therefore, the GCF of Fractions 1402/246,3461/2368 is 1/291264

Least Common Multiple of 246,2368 with GCF Formula

Least Common Multiple of 246,2368 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 246,2368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(246,2368) = 2

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

GCF(246,2368) x common factors =2 x 1 = 2

LCM(246,2368) = ( 246 × 2368 ) / 2

LCM(246,2368) = 582528 / 2

LCM(246,2368) = 291264


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FAQs on GCF of Fractions of 1402/246, 3461/2368

1. What is the HCF of 1402,3461?

The HCF of 1402,3461 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 1402/246, 3461/2368?

Answer: GCF of Numerators as per given numbers 1402/246, 3461/2368 is

GCF of Numerators i.e. for 1402,3461 is 1

LCM of denominators i.e. for 246,2368 is 291264.

Thus, GCF of Fractions is 1/291264.Finally, GCF of Fractions for 1402/246, 3461/2368 is 1/291264.