How to Find GCF of 1373/130, 3611/3640?

GCF of 1373/130, 3611/3640

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 1373/130, 3611/3640 i.e 1/3640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1373/130, 3611/3640.

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 1373/130,3611/3640?

Given fractions are 1373/130,3611/3640

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 1373/130,3611/3640, numerators are 1373,3611

Denominators are 130,3640

The GCF of 1373,3611 is 1 .

LCM of 130,3640 is 3640.

The greatest common factor of 1373/130,3611/3640 = [GCF of 1373,3611]/[LCM of 130,3640]= 1/3640

Therefore, the GCF of 1373/130,3611/3640 is 1/3640.

Greatest Common Factor of 1373,3611

To find the highest common factor of 1373,3611, we have to find the factors of both numbers and list the highest common factor.

The factors of 1373 are 1, 1373

The factors of 3611 are 1, 23, 157, 3611

The HCF of 1373,3611 is 1.

Lets's calculate GCF of 1373,3611

Greatest Common Factor (GCF) of 1373,3611 By Common Division

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

Greatest Common Factor of 1373,3611 By Matching Biggest Common Factor Method

Now, list down the factors of 1373

1,1373

Now, list down the factors of 3611

1,23,157,3611

Greatest Common Factor

We found the factors 1373,3611 . The biggest common factor number is the GCF number.
So the greatest common factor 1373,3611 is 1.

Lets's calculate LCM of 130,3640

Lowest Common Multiple of 130,3640 using Common Division

2	130, 3640
5	65, 1820
13	13, 364
	1, 28

∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 28 = 3640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3640

Therefore, the GCF of Fractions 1373/130,3611/3640 is 1/3640

Least Common Multiple of 130,3640 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 130,3640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,3640) = 130

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

GCF(130,3640) x common factors =130 x 1 = 130

LCM(130,3640) = ( 130 × 3640 ) / 130

LCM(130,3640) = 473200 / 130

LCM(130,3640) = 3640

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FAQs on GCF of Fractions of 1373/130, 3611/3640

1. What is the HCF of 1373,3611?

The HCF of 1373,3611 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 1373/130, 3611/3640?

Answer: GCF of Numerators as per given numbers 1373/130, 3611/3640 is

GCF of Numerators i.e. for 1373,3611 is 1

LCM of denominators i.e. for 130,3640 is 3640.

Thus, GCF of Fractions is 1/3640.Finally, GCF of Fractions for 1373/130, 3611/3640 is 1/3640.