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 711/429, 524/130

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 711/429, 524/130 i.e 1/4290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 711/429, 524/130.

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 711/429,524/130?

Given fractions are 711/429,524/130

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 711/429,524/130, numerators are 711,524

Denominators are 429,130

The GCF of 711,524 is 1 .

LCM of 429,130 is 4290.

The greatest common factor of 711/429,524/130 = [GCF of 711,524]/[LCM of 429,130]= 1/4290

Therefore, the GCF of 711/429,524/130 is 1/4290.

Greatest Common Factor of 711,524

To find the highest common factor of 711,524, we have to find the factors of both numbers and list the highest common factor.

The factors of 711 are 1, 3, 9, 79, 237, 711

The factors of 524 are 1, 2, 4, 131, 262, 524

The HCF of 711,524 is 1.

Lets's calculate GCF of 711,524

Greatest Common Factor (GCF) of 711,524 By Common Division

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

Greatest Common Factor of 711,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,524 By Matching Biggest Common Factor Method

Now, list down the factors of 711

:

1,3,9,79,237,711

Now, list down the factors of 524

:

1,2,4,131,262,524

Greatest Common Factor

We found the factors 711,524 . The biggest common factor number is the GCF number.
So the greatest common factor 711,524 is 1.

Lets's calculate LCM of 429,130

Lowest Common Multiple of 429,130 using Common Division

13 429, 130
33, 10

∴ So the LCM of the given numbers is 13 x 33 x 10 = 4290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4290

Therefore, the GCF of Fractions 711/429,524/130 is 1/4290

Least Common Multiple of 429,130 with GCF Formula

Least Common Multiple of 429,130 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 429,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,130) = 13

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

GCF(429,130) x common factors =13 x 1 = 13

LCM(429,130) = ( 429 × 130 ) / 13

LCM(429,130) = 55770 / 13

LCM(429,130) = 4290


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 711/429, 524/130

1. What is the HCF of 711,524?

The HCF of 711,524 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 711/429, 524/130?

Answer: GCF of Numerators as per given numbers 711/429, 524/130 is

GCF of Numerators i.e. for 711,524 is 1

LCM of denominators i.e. for 429,130 is 4290.

Thus, GCF of Fractions is 1/4290.Finally, GCF of Fractions for 711/429, 524/130 is 1/4290.