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GCF of 237/515, 6429/1718

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 237/515, 6429/1718 i.e 3/884770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 237/515, 6429/1718.

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 237/515,6429/1718?

Given fractions are 237/515,6429/1718

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 237/515,6429/1718, numerators are 237,6429

Denominators are 515,1718

The GCF of 237,6429 is 3 .

LCM of 515,1718 is 884770.

The greatest common factor of 237/515,6429/1718 = [GCF of 237,6429]/[LCM of 515,1718]= 3/884770

Therefore, the GCF of 237/515,6429/1718 is 3/884770.

Greatest Common Factor of 237,6429

To find the highest common factor of 237,6429, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 6429 are 1, 3, 2143, 6429

The HCF of 237,6429 is 3.

Lets's calculate GCF of 237,6429

Greatest Common Factor (GCF) of 237,6429 By Common Division

3 237, 6429
79, 2143

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 237,6429 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,6429 By Matching Biggest Common Factor Method

Now, list down the factors of 237

:

1,3,79,237

Now, list down the factors of 6429

:

1,3,2143,6429

Greatest Common Factor

We found the factors 237,6429 . The biggest common factor number is the GCF number.
So the greatest common factor 237,6429 is 3.


Lets's calculate LCM of 515,1718

Lowest Common Multiple of 515,1718 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 884770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/884770

Therefore, the GCF of Fractions 237/515,6429/1718 is 3/884770

Least Common Multiple of 515,1718 with GCF Formula

Least Common Multiple of 515,1718 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 515,1718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,1718) = 1

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

GCF(515,1718) x common factors =1 x 1 = 1

LCM(515,1718) = ( 515 × 1718 ) / 1

LCM(515,1718) = 884770 / 1

LCM(515,1718) = 884770


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 237/515, 6429/1718

1. What is the HCF of 237,6429?

The HCF of 237,6429 is 3

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 237/515, 6429/1718?

Answer: GCF of Numerators as per given numbers 237/515, 6429/1718 is

GCF of Numerators i.e. for 237,6429 is 3

LCM of denominators i.e. for 515,1718 is 884770.

Thus, GCF of Fractions is 3/884770.Finally, GCF of Fractions for 237/515, 6429/1718 is 3/884770.