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GCF of 175/195, 5735/735

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 175/195, 5735/735 i.e 5/9555 easily. The following is the detailed procedure to determine the greatest common factor of fractions 175/195, 5735/735.

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 175/195,5735/735?

Given fractions are 175/195,5735/735

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 175/195,5735/735, numerators are 175,5735

Denominators are 195,735

The GCF of 175,5735 is 5 .

LCM of 195,735 is 9555.

The greatest common factor of 175/195,5735/735 = [GCF of 175,5735]/[LCM of 195,735]= 5/9555

Therefore, the GCF of 175/195,5735/735 is 5/9555.

Greatest Common Factor of 175,5735

To find the highest common factor of 175,5735, we have to find the factors of both numbers and list the highest common factor.

The factors of 175 are 1, 5, 7, 25, 35, 175

The factors of 5735 are 1, 5, 31, 37, 155, 185, 1147, 5735

The HCF of 175,5735 is 5.

Lets's calculate GCF of 175,5735

Greatest Common Factor (GCF) of 175,5735 By Common Division

5 175, 5735
35, 1147

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 175,5735 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,5735 By Matching Biggest Common Factor Method

Now, list down the factors of 175

:

1,5,7,25,35,175

Now, list down the factors of 5735

:

1,5,31,37,155,185,1147,5735

Greatest Common Factor

We found the factors 175,5735 . The biggest common factor number is the GCF number.
So the greatest common factor 175,5735 is 5.

Lets's calculate LCM of 195,735

Lowest Common Multiple of 195,735 using Common Division

3 195, 735
5 65, 245
13, 49

∴ So the LCM of the given numbers is 3 x 5 x 13 x 49 = 9555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9555

Therefore, the GCF of Fractions 175/195,5735/735 is 5/9555

Least Common Multiple of 195,735 with GCF Formula

Least Common Multiple of 195,735 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 195,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,735) = 15

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

GCF(195,735) x common factors =15 x 1 = 15

LCM(195,735) = ( 195 × 735 ) / 15

LCM(195,735) = 143325 / 15

LCM(195,735) = 9555


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FAQs on GCF of Fractions of 175/195, 5735/735

1. What is the HCF of 175,5735?

The HCF of 175,5735 is 5

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 175/195, 5735/735?

Answer: GCF of Numerators as per given numbers 175/195, 5735/735 is

GCF of Numerators i.e. for 175,5735 is 5

LCM of denominators i.e. for 195,735 is 9555.

Thus, GCF of Fractions is 5/9555.Finally, GCF of Fractions for 175/195, 5735/735 is 5/9555.