How to Find GCF of 6983/364, 6601/2522?

GCF of 6983/364, 6601/2522

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 6983/364, 6601/2522 i.e 1/35308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6983/364, 6601/2522.

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 6983/364,6601/2522?

Given fractions are 6983/364,6601/2522

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 6983/364,6601/2522, numerators are 6983,6601

Denominators are 364,2522

The GCF of 6983,6601 is 1 .

LCM of 364,2522 is 35308.

The greatest common factor of 6983/364,6601/2522 = [GCF of 6983,6601]/[LCM of 364,2522]= 1/35308

Therefore, the GCF of 6983/364,6601/2522 is 1/35308.

Greatest Common Factor of 6983,6601

To find the highest common factor of 6983,6601, we have to find the factors of both numbers and list the highest common factor.

The factors of 6983 are 1, 6983

The factors of 6601 are 1, 7, 23, 41, 161, 287, 943, 6601

The HCF of 6983,6601 is 1.

Lets's calculate GCF of 6983,6601

Greatest Common Factor (GCF) of 6983,6601 By Common Division

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

Greatest Common Factor of 6983,6601 By Matching Biggest Common Factor Method

Now, list down the factors of 6983

1,6983

Now, list down the factors of 6601

1,7,23,41,161,287,943,6601

Greatest Common Factor

We found the factors 6983,6601 . The biggest common factor number is the GCF number.
So the greatest common factor 6983,6601 is 1.

Lets's calculate LCM of 364,2522

Lowest Common Multiple of 364,2522 using Common Division

2	364, 2522
13	182, 1261
	14, 97

∴ So the LCM of the given numbers is 2 x 13 x 14 x 97 = 35308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35308

Therefore, the GCF of Fractions 6983/364,6601/2522 is 1/35308

Least Common Multiple of 364,2522 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 364,2522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,2522) = 26

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

GCF(364,2522) x common factors =26 x 1 = 26

LCM(364,2522) = ( 364 × 2522 ) / 26

LCM(364,2522) = 918008 / 26

LCM(364,2522) = 35308

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FAQs on GCF of Fractions of 6983/364, 6601/2522

1. What is the HCF of 6983,6601?

The HCF of 6983,6601 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 6983/364, 6601/2522?

Answer: GCF of Numerators as per given numbers 6983/364, 6601/2522 is

GCF of Numerators i.e. for 6983,6601 is 1

LCM of denominators i.e. for 364,2522 is 35308.

Thus, GCF of Fractions is 1/35308.Finally, GCF of Fractions for 6983/364, 6601/2522 is 1/35308.