LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 815/697, 375/108

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 815/697, 375/108 i.e 5/75276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 815/697, 375/108.

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 815/697,375/108?

Given fractions are 815/697,375/108

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 815/697,375/108, numerators are 815,375

Denominators are 697,108

The GCF of 815,375 is 5 .

LCM of 697,108 is 75276.

The greatest common factor of 815/697,375/108 = [GCF of 815,375]/[LCM of 697,108]= 5/75276

Therefore, the GCF of 815/697,375/108 is 5/75276.

Greatest Common Factor of 815,375

To find the highest common factor of 815,375, we have to find the factors of both numbers and list the highest common factor.

The factors of 815 are 1, 5, 163, 815

The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375

The HCF of 815,375 is 5.

Lets's calculate GCF of 815,375

Greatest Common Factor (GCF) of 815,375 By Common Division

5 815, 375
163, 75

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

Greatest Common Factor of 815,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 815,375 By Matching Biggest Common Factor Method

Now, list down the factors of 815

:

1,5,163,815

Now, list down the factors of 375

:

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 815,375 . The biggest common factor number is the GCF number.
So the greatest common factor 815,375 is 5.

Lets's calculate LCM of 697,108

Lowest Common Multiple of 697,108 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 75276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/75276

Therefore, the GCF of Fractions 815/697,375/108 is 5/75276

Least Common Multiple of 697,108 with GCF Formula

Least Common Multiple of 697,108 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 697,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,108) = 1

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

GCF(697,108) x common factors =1 x 1 = 1

LCM(697,108) = ( 697 × 108 ) / 1

LCM(697,108) = 75276 / 1

LCM(697,108) = 75276


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 815/697, 375/108

1. What is the HCF of 815,375?

The HCF of 815,375 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 815/697, 375/108?

Answer: GCF of Numerators as per given numbers 815/697, 375/108 is

GCF of Numerators i.e. for 815,375 is 5

LCM of denominators i.e. for 697,108 is 75276.

Thus, GCF of Fractions is 5/75276.Finally, GCF of Fractions for 815/697, 375/108 is 5/75276.