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GCF of 3735/515, 4073/1320

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 3735/515, 4073/1320 i.e 1/135960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3735/515, 4073/1320.

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 3735/515,4073/1320?

Given fractions are 3735/515,4073/1320

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 3735/515,4073/1320, numerators are 3735,4073

Denominators are 515,1320

The GCF of 3735,4073 is 1 .

LCM of 515,1320 is 135960.

The greatest common factor of 3735/515,4073/1320 = [GCF of 3735,4073]/[LCM of 515,1320]= 1/135960

Therefore, the GCF of 3735/515,4073/1320 is 1/135960.

Greatest Common Factor of 3735,4073

To find the highest common factor of 3735,4073, we have to find the factors of both numbers and list the highest common factor.

The factors of 3735 are 1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245, 3735

The factors of 4073 are 1, 4073

The HCF of 3735,4073 is 1.

Lets's calculate GCF of 3735,4073

Greatest Common Factor (GCF) of 3735,4073 By Common Division

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

Greatest Common Factor of 3735,4073 By Matching Biggest Common Factor Method

Greatest Common Factor of 3735,4073 By Matching Biggest Common Factor Method

Now, list down the factors of 3735

:

1,3,5,9,15,45,83,249,415,747,1245,3735

Now, list down the factors of 4073

:

1,4073

Greatest Common Factor

We found the factors 3735,4073 . The biggest common factor number is the GCF number.
So the greatest common factor 3735,4073 is 1.


Lets's calculate LCM of 515,1320

Lowest Common Multiple of 515,1320 using Common Division

5 515, 1320
103, 264

∴ So the LCM of the given numbers is 5 x 103 x 264 = 135960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135960

Therefore, the GCF of Fractions 3735/515,4073/1320 is 1/135960

Least Common Multiple of 515,1320 with GCF Formula

Least Common Multiple of 515,1320 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 515,1320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,1320) = 5

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

GCF(515,1320) x common factors =5 x 1 = 5

LCM(515,1320) = ( 515 × 1320 ) / 5

LCM(515,1320) = 679800 / 5

LCM(515,1320) = 135960


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 3735/515, 4073/1320

1. What is the HCF of 3735,4073?

The HCF of 3735,4073 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 3735/515, 4073/1320?

Answer: GCF of Numerators as per given numbers 3735/515, 4073/1320 is

GCF of Numerators i.e. for 3735,4073 is 1

LCM of denominators i.e. for 515,1320 is 135960.

Thus, GCF of Fractions is 1/135960.Finally, GCF of Fractions for 3735/515, 4073/1320 is 1/135960.