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 518/690, 225/541

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 518/690, 225/541 i.e 1/373290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 518/690, 225/541.

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 518/690,225/541?

Given fractions are 518/690,225/541

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 518/690,225/541, numerators are 518,225

Denominators are 690,541

The GCF of 518,225 is 1 .

LCM of 690,541 is 373290.

The greatest common factor of 518/690,225/541 = [GCF of 518,225]/[LCM of 690,541]= 1/373290

Therefore, the GCF of 518/690,225/541 is 1/373290.

Greatest Common Factor of 518,225

To find the highest common factor of 518,225, we have to find the factors of both numbers and list the highest common factor.

The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518

The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225

The HCF of 518,225 is 1.

Lets's calculate GCF of 518,225

Greatest Common Factor (GCF) of 518,225 By Common Division

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

Greatest Common Factor of 518,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,225 By Matching Biggest Common Factor Method

Now, list down the factors of 518

:

1,2,7,14,37,74,259,518

Now, list down the factors of 225

:

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 518,225 . The biggest common factor number is the GCF number.
So the greatest common factor 518,225 is 1.

Lets's calculate LCM of 690,541

Lowest Common Multiple of 690,541 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 373290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373290

Therefore, the GCF of Fractions 518/690,225/541 is 1/373290

Least Common Multiple of 690,541 with GCF Formula

Least Common Multiple of 690,541 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 690,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,541) = 1

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

GCF(690,541) x common factors =1 x 1 = 1

LCM(690,541) = ( 690 × 541 ) / 1

LCM(690,541) = 373290 / 1

LCM(690,541) = 373290


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 518/690, 225/541

1. What is the HCF of 518,225?

The HCF of 518,225 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 518/690, 225/541?

Answer: GCF of Numerators as per given numbers 518/690, 225/541 is

GCF of Numerators i.e. for 518,225 is 1

LCM of denominators i.e. for 690,541 is 373290.

Thus, GCF of Fractions is 1/373290.Finally, GCF of Fractions for 518/690, 225/541 is 1/373290.