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GCF of 8411/346, 9382/682

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 8411/346, 9382/682 i.e 1/117986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8411/346, 9382/682.

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 8411/346,9382/682?

Given fractions are 8411/346,9382/682

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 8411/346,9382/682, numerators are 8411,9382

Denominators are 346,682

The GCF of 8411,9382 is 1 .

LCM of 346,682 is 117986.

The greatest common factor of 8411/346,9382/682 = [GCF of 8411,9382]/[LCM of 346,682]= 1/117986

Therefore, the GCF of 8411/346,9382/682 is 1/117986.

Greatest Common Factor of 8411,9382

To find the highest common factor of 8411,9382, we have to find the factors of both numbers and list the highest common factor.

The factors of 8411 are 1, 13, 647, 8411

The factors of 9382 are 1, 2, 4691, 9382

The HCF of 8411,9382 is 1.

Lets's calculate GCF of 8411,9382

Greatest Common Factor (GCF) of 8411,9382 By Common Division

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

Greatest Common Factor of 8411,9382 By Matching Biggest Common Factor Method

Greatest Common Factor of 8411,9382 By Matching Biggest Common Factor Method

Now, list down the factors of 8411

:

1,13,647,8411

Now, list down the factors of 9382

:

1,2,4691,9382

Greatest Common Factor

We found the factors 8411,9382 . The biggest common factor number is the GCF number.
So the greatest common factor 8411,9382 is 1.

Lets's calculate LCM of 346,682

Lowest Common Multiple of 346,682 using Common Division

2 346, 682
173, 341

∴ So the LCM of the given numbers is 2 x 173 x 341 = 117986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117986

Therefore, the GCF of Fractions 8411/346,9382/682 is 1/117986

Least Common Multiple of 346,682 with GCF Formula

Least Common Multiple of 346,682 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 346,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,682) = 2

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

GCF(346,682) x common factors =2 x 1 = 2

LCM(346,682) = ( 346 × 682 ) / 2

LCM(346,682) = 235972 / 2

LCM(346,682) = 117986


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FAQs on GCF of Fractions of 8411/346, 9382/682

1. What is the HCF of 8411,9382?

The HCF of 8411,9382 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 8411/346, 9382/682?

Answer: GCF of Numerators as per given numbers 8411/346, 9382/682 is

GCF of Numerators i.e. for 8411,9382 is 1

LCM of denominators i.e. for 346,682 is 117986.

Thus, GCF of Fractions is 1/117986.Finally, GCF of Fractions for 8411/346, 9382/682 is 1/117986.