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 757/40, 189/878

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 757/40, 189/878 i.e 1/17560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 757/40, 189/878.

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 757/40,189/878?

Given fractions are 757/40,189/878

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 757/40,189/878, numerators are 757,189

Denominators are 40,878

The GCF of 757,189 is 1 .

LCM of 40,878 is 17560.

The greatest common factor of 757/40,189/878 = [GCF of 757,189]/[LCM of 40,878]= 1/17560

Therefore, the GCF of 757/40,189/878 is 1/17560.

Greatest Common Factor of 757,189

To find the highest common factor of 757,189, we have to find the factors of both numbers and list the highest common factor.

The factors of 757 are 1, 757

The factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189

The HCF of 757,189 is 1.

Lets's calculate GCF of 757,189

Greatest Common Factor (GCF) of 757,189 By Common Division

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

Greatest Common Factor of 757,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,189 By Matching Biggest Common Factor Method

Now, list down the factors of 757

:

1,757

Now, list down the factors of 189

:

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 757,189 . The biggest common factor number is the GCF number.
So the greatest common factor 757,189 is 1.

Lets's calculate LCM of 40,878

Lowest Common Multiple of 40,878 using Common Division

2 40, 878
20, 439

∴ So the LCM of the given numbers is 2 x 20 x 439 = 17560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17560

Therefore, the GCF of Fractions 757/40,189/878 is 1/17560

Least Common Multiple of 40,878 with GCF Formula

Least Common Multiple of 40,878 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 40,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,878) = 2

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

GCF(40,878) x common factors =2 x 1 = 2

LCM(40,878) = ( 40 × 878 ) / 2

LCM(40,878) = 35120 / 2

LCM(40,878) = 17560


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 757/40, 189/878

1. What is the HCF of 757,189?

The HCF of 757,189 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 757/40, 189/878?

Answer: GCF of Numerators as per given numbers 757/40, 189/878 is

GCF of Numerators i.e. for 757,189 is 1

LCM of denominators i.e. for 40,878 is 17560.

Thus, GCF of Fractions is 1/17560.Finally, GCF of Fractions for 757/40, 189/878 is 1/17560.