How to Find GCF of 6322/866, 7982/1713?

GCF of 6322/866, 7982/1713

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 6322/866, 7982/1713 i.e 2/1483458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6322/866, 7982/1713.

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 6322/866,7982/1713?

Given fractions are 6322/866,7982/1713

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 6322/866,7982/1713, numerators are 6322,7982

Denominators are 866,1713

The GCF of 6322,7982 is 2 .

LCM of 866,1713 is 1483458.

The greatest common factor of 6322/866,7982/1713 = [GCF of 6322,7982]/[LCM of 866,1713]= 2/1483458

Therefore, the GCF of 6322/866,7982/1713 is 2/1483458.

Greatest Common Factor of 6322,7982

To find the highest common factor of 6322,7982, we have to find the factors of both numbers and list the highest common factor.

The factors of 6322 are 1, 2, 29, 58, 109, 218, 3161, 6322

The factors of 7982 are 1, 2, 13, 26, 307, 614, 3991, 7982

The HCF of 6322,7982 is 2.

Lets's calculate GCF of 6322,7982

Greatest Common Factor (GCF) of 6322,7982 By Common Division

2	6322, 7982
	3161, 3991

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

Greatest Common Factor of 6322,7982 By Matching Biggest Common Factor Method

Now, list down the factors of 6322

1,2,29,58,109,218,3161,6322

Now, list down the factors of 7982

1,2,13,26,307,614,3991,7982

Greatest Common Factor

We found the factors 6322,7982 . The biggest common factor number is the GCF number.
So the greatest common factor 6322,7982 is 2.

Lets's calculate LCM of 866,1713

Lowest Common Multiple of 866,1713 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1483458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1483458

Therefore, the GCF of Fractions 6322/866,7982/1713 is 2/1483458

Least Common Multiple of 866,1713 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 866,1713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,1713) = 1

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

GCF(866,1713) x common factors =1 x 1 = 1

LCM(866,1713) = ( 866 × 1713 ) / 1

LCM(866,1713) = 1483458 / 1

LCM(866,1713) = 1483458

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FAQs on GCF of Fractions of 6322/866, 7982/1713

1. What is the HCF of 6322,7982?

The HCF of 6322,7982 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 6322/866, 7982/1713?

Answer: GCF of Numerators as per given numbers 6322/866, 7982/1713 is

GCF of Numerators i.e. for 6322,7982 is 2

LCM of denominators i.e. for 866,1713 is 1483458.

Thus, GCF of Fractions is 2/1483458.Finally, GCF of Fractions for 6322/866, 7982/1713 is 2/1483458.