How to Find GCF of 6429/117, 1481/520?

GCF of 6429/117, 1481/520

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 6429/117, 1481/520 i.e 1/4680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6429/117, 1481/520.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6429/117,1481/520?

Given fractions are 6429/117,1481/520

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 6429/117,1481/520, numerators are 6429,1481

Denominators are 117,520

The GCF of 6429,1481 is 1 .

LCM of 117,520 is 4680.

The greatest common factor of 6429/117,1481/520 = [GCF of 6429,1481]/[LCM of 117,520]= 1/4680

Therefore, the GCF of 6429/117,1481/520 is 1/4680.

Greatest Common Factor of 6429,1481

To find the highest common factor of 6429,1481, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 1481 are 1, 1481

The HCF of 6429,1481 is 1.

Lets's calculate GCF of 6429,1481

Greatest Common Factor (GCF) of 6429,1481 By Common Division

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

Greatest Common Factor of 6429,1481 By Matching Biggest Common Factor Method

Now, list down the factors of 6429

1,3,2143,6429

Now, list down the factors of 1481

1,1481

Greatest Common Factor

We found the factors 6429,1481 . The biggest common factor number is the GCF number.
So the greatest common factor 6429,1481 is 1.

Lets's calculate LCM of 117,520

Lowest Common Multiple of 117,520 using Common Division

13	117, 520
	9, 40

∴ So the LCM of the given numbers is 13 x 9 x 40 = 4680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4680

Therefore, the GCF of Fractions 6429/117,1481/520 is 1/4680

Least Common Multiple of 117,520 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 117,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,520) = 13

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

GCF(117,520) x common factors =13 x 1 = 13

LCM(117,520) = ( 117 × 520 ) / 13

LCM(117,520) = 60840 / 13

LCM(117,520) = 4680

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FAQs on GCF of Fractions of 6429/117, 1481/520

1. What is the HCF of 6429,1481?

The HCF of 6429,1481 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 6429/117, 1481/520?

Answer: GCF of Numerators as per given numbers 6429/117, 1481/520 is

GCF of Numerators i.e. for 6429,1481 is 1

LCM of denominators i.e. for 117,520 is 4680.

Thus, GCF of Fractions is 1/4680.Finally, GCF of Fractions for 6429/117, 1481/520 is 1/4680.