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GCF of 735/62, 927/165

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 735/62, 927/165 i.e 3/10230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 735/62, 927/165.

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 735/62,927/165?

Given fractions are 735/62,927/165

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 735/62,927/165, numerators are 735,927

Denominators are 62,165

The GCF of 735,927 is 3 .

LCM of 62,165 is 10230.

The greatest common factor of 735/62,927/165 = [GCF of 735,927]/[LCM of 62,165]= 3/10230

Therefore, the GCF of 735/62,927/165 is 3/10230.

Greatest Common Factor of 735,927

To find the highest common factor of 735,927, we have to find the factors of both numbers and list the highest common factor.

The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

The factors of 927 are 1, 3, 9, 103, 309, 927

The HCF of 735,927 is 3.

Lets's calculate GCF of 735,927

Greatest Common Factor (GCF) of 735,927 By Common Division

3 735, 927
245, 309

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 735,927 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,927 By Matching Biggest Common Factor Method

Now, list down the factors of 735

:

1,3,5,7,15,21,35,49,105,147,245,735

Now, list down the factors of 927

:

1,3,9,103,309,927

Greatest Common Factor

We found the factors 735,927 . The biggest common factor number is the GCF number.
So the greatest common factor 735,927 is 3.


Lets's calculate LCM of 62,165

Lowest Common Multiple of 62,165 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 10230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10230

Therefore, the GCF of Fractions 735/62,927/165 is 3/10230

Least Common Multiple of 62,165 with GCF Formula

Least Common Multiple of 62,165 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 62,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,165) = 1

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

GCF(62,165) x common factors =1 x 1 = 1

LCM(62,165) = ( 62 × 165 ) / 1

LCM(62,165) = 10230 / 1

LCM(62,165) = 10230


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 735/62, 927/165

1. What is the HCF of 735,927?

The HCF of 735,927 is 3

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 735/62, 927/165?

Answer: GCF of Numerators as per given numbers 735/62, 927/165 is

GCF of Numerators i.e. for 735,927 is 3

LCM of denominators i.e. for 62,165 is 10230.

Thus, GCF of Fractions is 3/10230.Finally, GCF of Fractions for 735/62, 927/165 is 3/10230.