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GCF of 3697/108, 3593/6978

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 3697/108, 3593/6978 i.e 1/125604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3697/108, 3593/6978.

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 3697/108,3593/6978?

Given fractions are 3697/108,3593/6978

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 3697/108,3593/6978, numerators are 3697,3593

Denominators are 108,6978

The GCF of 3697,3593 is 1 .

LCM of 108,6978 is 125604.

The greatest common factor of 3697/108,3593/6978 = [GCF of 3697,3593]/[LCM of 108,6978]= 1/125604

Therefore, the GCF of 3697/108,3593/6978 is 1/125604.

Greatest Common Factor of 3697,3593

To find the highest common factor of 3697,3593, we have to find the factors of both numbers and list the highest common factor.

The factors of 3697 are 1, 3697

The factors of 3593 are 1, 3593

The HCF of 3697,3593 is 1.

Lets's calculate GCF of 3697,3593

Greatest Common Factor (GCF) of 3697,3593 By Common Division

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

Greatest Common Factor of 3697,3593 By Matching Biggest Common Factor Method

Greatest Common Factor of 3697,3593 By Matching Biggest Common Factor Method

Now, list down the factors of 3697

:

1,3697

Now, list down the factors of 3593

:

1,3593

Greatest Common Factor

We found the factors 3697,3593 . The biggest common factor number is the GCF number.
So the greatest common factor 3697,3593 is 1.

Lets's calculate LCM of 108,6978

Lowest Common Multiple of 108,6978 using Common Division

2 108, 6978
3 54, 3489
18, 1163

∴ So the LCM of the given numbers is 2 x 3 x 18 x 1163 = 125604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125604

Therefore, the GCF of Fractions 3697/108,3593/6978 is 1/125604

Least Common Multiple of 108,6978 with GCF Formula

Least Common Multiple of 108,6978 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 108,6978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,6978) = 6

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

GCF(108,6978) x common factors =6 x 1 = 6

LCM(108,6978) = ( 108 × 6978 ) / 6

LCM(108,6978) = 753624 / 6

LCM(108,6978) = 125604


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FAQs on GCF of Fractions of 3697/108, 3593/6978

1. What is the HCF of 3697,3593?

The HCF of 3697,3593 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 3697/108, 3593/6978?

Answer: GCF of Numerators as per given numbers 3697/108, 3593/6978 is

GCF of Numerators i.e. for 3697,3593 is 1

LCM of denominators i.e. for 108,6978 is 125604.

Thus, GCF of Fractions is 1/125604.Finally, GCF of Fractions for 3697/108, 3593/6978 is 1/125604.