How to Find GCF of 1979/652, 8737/6006?

GCF of 1979/652, 8737/6006

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 1979/652, 8737/6006 i.e 1/1957956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1979/652, 8737/6006.

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 1979/652,8737/6006?

Given fractions are 1979/652,8737/6006

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 1979/652,8737/6006, numerators are 1979,8737

Denominators are 652,6006

The GCF of 1979,8737 is 1 .

LCM of 652,6006 is 1957956.

The greatest common factor of 1979/652,8737/6006 = [GCF of 1979,8737]/[LCM of 652,6006]= 1/1957956

Therefore, the GCF of 1979/652,8737/6006 is 1/1957956.

Greatest Common Factor of 1979,8737

To find the highest common factor of 1979,8737, we have to find the factors of both numbers and list the highest common factor.

The factors of 1979 are 1, 1979

The factors of 8737 are 1, 8737

The HCF of 1979,8737 is 1.

Lets's calculate GCF of 1979,8737

Greatest Common Factor (GCF) of 1979,8737 By Common Division

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

Greatest Common Factor of 1979,8737 By Matching Biggest Common Factor Method

Now, list down the factors of 1979

1,1979

Now, list down the factors of 8737

1,8737

Greatest Common Factor

We found the factors 1979,8737 . The biggest common factor number is the GCF number.
So the greatest common factor 1979,8737 is 1.

Lets's calculate LCM of 652,6006

Lowest Common Multiple of 652,6006 using Common Division

2	652, 6006
	326, 3003

∴ So the LCM of the given numbers is 2 x 326 x 3003 = 1957956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1957956

Therefore, the GCF of Fractions 1979/652,8737/6006 is 1/1957956

Least Common Multiple of 652,6006 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 652,6006 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,6006) = 2

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

GCF(652,6006) x common factors =2 x 1 = 2

LCM(652,6006) = ( 652 × 6006 ) / 2

LCM(652,6006) = 3915912 / 2

LCM(652,6006) = 1957956

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FAQs on GCF of Fractions of 1979/652, 8737/6006

1. What is the HCF of 1979,8737?

The HCF of 1979,8737 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 1979/652, 8737/6006?

Answer: GCF of Numerators as per given numbers 1979/652, 8737/6006 is

GCF of Numerators i.e. for 1979,8737 is 1

LCM of denominators i.e. for 652,6006 is 1957956.

Thus, GCF of Fractions is 1/1957956.Finally, GCF of Fractions for 1979/652, 8737/6006 is 1/1957956.