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GCF of 3607/973, 2493/646

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 3607/973, 2493/646 i.e 1/628558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3607/973, 2493/646.

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 3607/973,2493/646?

Given fractions are 3607/973,2493/646

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 3607/973,2493/646, numerators are 3607,2493

Denominators are 973,646

The GCF of 3607,2493 is 1 .

LCM of 973,646 is 628558.

The greatest common factor of 3607/973,2493/646 = [GCF of 3607,2493]/[LCM of 973,646]= 1/628558

Therefore, the GCF of 3607/973,2493/646 is 1/628558.

Greatest Common Factor of 3607,2493

To find the highest common factor of 3607,2493, we have to find the factors of both numbers and list the highest common factor.

The factors of 3607 are 1, 3607

The factors of 2493 are 1, 3, 9, 277, 831, 2493

The HCF of 3607,2493 is 1.

Lets's calculate GCF of 3607,2493

Greatest Common Factor (GCF) of 3607,2493 By Common Division

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

Greatest Common Factor of 3607,2493 By Matching Biggest Common Factor Method

Greatest Common Factor of 3607,2493 By Matching Biggest Common Factor Method

Now, list down the factors of 3607

:

1,3607

Now, list down the factors of 2493

:

1,3,9,277,831,2493

Greatest Common Factor

We found the factors 3607,2493 . The biggest common factor number is the GCF number.
So the greatest common factor 3607,2493 is 1.

Lets's calculate LCM of 973,646

Lowest Common Multiple of 973,646 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 628558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/628558

Therefore, the GCF of Fractions 3607/973,2493/646 is 1/628558

Least Common Multiple of 973,646 with GCF Formula

Least Common Multiple of 973,646 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 973,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,646) = 1

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

GCF(973,646) x common factors =1 x 1 = 1

LCM(973,646) = ( 973 × 646 ) / 1

LCM(973,646) = 628558 / 1

LCM(973,646) = 628558


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FAQs on GCF of Fractions of 3607/973, 2493/646

1. What is the HCF of 3607,2493?

The HCF of 3607,2493 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 3607/973, 2493/646?

Answer: GCF of Numerators as per given numbers 3607/973, 2493/646 is

GCF of Numerators i.e. for 3607,2493 is 1

LCM of denominators i.e. for 973,646 is 628558.

Thus, GCF of Fractions is 1/628558.Finally, GCF of Fractions for 3607/973, 2493/646 is 1/628558.