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 188/35, 769/7545

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 188/35, 769/7545 i.e 1/52815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 188/35, 769/7545.

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 188/35,769/7545?

Given fractions are 188/35,769/7545

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 188/35,769/7545, numerators are 188,769

Denominators are 35,7545

The GCF of 188,769 is 1 .

LCM of 35,7545 is 52815.

The greatest common factor of 188/35,769/7545 = [GCF of 188,769]/[LCM of 35,7545]= 1/52815

Therefore, the GCF of 188/35,769/7545 is 1/52815.

Greatest Common Factor of 188,769

To find the highest common factor of 188,769, we have to find the factors of both numbers and list the highest common factor.

The factors of 188 are 1, 2, 4, 47, 94, 188

The factors of 769 are 1, 769

The HCF of 188,769 is 1.

Lets's calculate GCF of 188,769

Greatest Common Factor (GCF) of 188,769 By Common Division

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

Greatest Common Factor of 188,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,769 By Matching Biggest Common Factor Method

Now, list down the factors of 188

:

1,2,4,47,94,188

Now, list down the factors of 769

:

1,769

Greatest Common Factor

We found the factors 188,769 . The biggest common factor number is the GCF number.
So the greatest common factor 188,769 is 1.

Lets's calculate LCM of 35,7545

Lowest Common Multiple of 35,7545 using Common Division

5 35, 7545
7, 1509

∴ So the LCM of the given numbers is 5 x 7 x 1509 = 52815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52815

Therefore, the GCF of Fractions 188/35,769/7545 is 1/52815

Least Common Multiple of 35,7545 with GCF Formula

Least Common Multiple of 35,7545 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 35,7545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,7545) = 5

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

GCF(35,7545) x common factors =5 x 1 = 5

LCM(35,7545) = ( 35 × 7545 ) / 5

LCM(35,7545) = 264075 / 5

LCM(35,7545) = 52815


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 188/35, 769/7545

1. What is the HCF of 188,769?

The HCF of 188,769 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 188/35, 769/7545?

Answer: GCF of Numerators as per given numbers 188/35, 769/7545 is

GCF of Numerators i.e. for 188,769 is 1

LCM of denominators i.e. for 35,7545 is 52815.

Thus, GCF of Fractions is 1/52815.Finally, GCF of Fractions for 188/35, 769/7545 is 1/52815.