How to Find GCF of 8962/397, 6430/3630?

GCF of 8962/397, 6430/3630

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 8962/397, 6430/3630 i.e 2/1441110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8962/397, 6430/3630.

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 8962/397,6430/3630?

Given fractions are 8962/397,6430/3630

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 8962/397,6430/3630, numerators are 8962,6430

Denominators are 397,3630

The GCF of 8962,6430 is 2 .

LCM of 397,3630 is 1441110.

The greatest common factor of 8962/397,6430/3630 = [GCF of 8962,6430]/[LCM of 397,3630]= 2/1441110

Therefore, the GCF of 8962/397,6430/3630 is 2/1441110.

Greatest Common Factor of 8962,6430

To find the highest common factor of 8962,6430, we have to find the factors of both numbers and list the highest common factor.

The factors of 8962 are 1, 2, 4481, 8962

The factors of 6430 are 1, 2, 5, 10, 643, 1286, 3215, 6430

The HCF of 8962,6430 is 2.

Lets's calculate GCF of 8962,6430

Greatest Common Factor (GCF) of 8962,6430 By Common Division

2	8962, 6430
	4481, 3215

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8962,6430 By Matching Biggest Common Factor Method

Now, list down the factors of 8962

1,2,4481,8962

Now, list down the factors of 6430

1,2,5,10,643,1286,3215,6430

Greatest Common Factor

We found the factors 8962,6430 . The biggest common factor number is the GCF number.
So the greatest common factor 8962,6430 is 2.

Lets's calculate LCM of 397,3630

Lowest Common Multiple of 397,3630 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1441110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1441110

Therefore, the GCF of Fractions 8962/397,6430/3630 is 2/1441110

Least Common Multiple of 397,3630 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 397,3630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,3630) = 1

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

GCF(397,3630) x common factors =1 x 1 = 1

LCM(397,3630) = ( 397 × 3630 ) / 1

LCM(397,3630) = 1441110 / 1

LCM(397,3630) = 1441110

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FAQs on GCF of Fractions of 8962/397, 6430/3630

1. What is the HCF of 8962,6430?

The HCF of 8962,6430 is 2

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 8962/397, 6430/3630?

Answer: GCF of Numerators as per given numbers 8962/397, 6430/3630 is

GCF of Numerators i.e. for 8962,6430 is 2

LCM of denominators i.e. for 397,3630 is 1441110.

Thus, GCF of Fractions is 2/1441110.Finally, GCF of Fractions for 8962/397, 6430/3630 is 2/1441110.