How to Find GCF of 3102/989, 8682/8363?

GCF of 3102/989, 8682/8363

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 3102/989, 8682/8363 i.e 6/8271007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3102/989, 8682/8363.

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 3102/989,8682/8363?

Given fractions are 3102/989,8682/8363

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 3102/989,8682/8363, numerators are 3102,8682

Denominators are 989,8363

The GCF of 3102,8682 is 6 .

LCM of 989,8363 is 8271007.

The greatest common factor of 3102/989,8682/8363 = [GCF of 3102,8682]/[LCM of 989,8363]= 6/8271007

Therefore, the GCF of 3102/989,8682/8363 is 6/8271007.

Greatest Common Factor of 3102,8682

To find the highest common factor of 3102,8682, we have to find the factors of both numbers and list the highest common factor.

The factors of 3102 are 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551, 3102

The factors of 8682 are 1, 2, 3, 6, 1447, 2894, 4341, 8682

The HCF of 3102,8682 is 6.

Lets's calculate GCF of 3102,8682

Greatest Common Factor (GCF) of 3102,8682 By Common Division

2	3102, 8682
3	1551, 4341
	517, 1447

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3102,8682 By Matching Biggest Common Factor Method

Now, list down the factors of 3102

1,2,3,6,11,22,33,47,66,94,141,282,517,1034,1551,3102

Now, list down the factors of 8682

1,2,3,6,1447,2894,4341,8682

Greatest Common Factor

We found the factors 3102,8682 . The biggest common factor number is the GCF number.
So the greatest common factor 3102,8682 is 6.

Lets's calculate LCM of 989,8363

Lowest Common Multiple of 989,8363 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8271007

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/8271007

Therefore, the GCF of Fractions 3102/989,8682/8363 is 6/8271007

Least Common Multiple of 989,8363 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 989,8363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,8363) = 1

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

GCF(989,8363) x common factors =1 x 1 = 1

LCM(989,8363) = ( 989 × 8363 ) / 1

LCM(989,8363) = 8271007 / 1

LCM(989,8363) = 8271007

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3102/989, 8682/8363

1. What is the HCF of 3102,8682?

The HCF of 3102,8682 is 6

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 3102/989, 8682/8363?

Answer: GCF of Numerators as per given numbers 3102/989, 8682/8363 is

GCF of Numerators i.e. for 3102,8682 is 6

LCM of denominators i.e. for 989,8363 is 8271007.

Thus, GCF of Fractions is 6/8271007.Finally, GCF of Fractions for 3102/989, 8682/8363 is 6/8271007.