How to Find GCF of 4373/765, 1963/8428?

GCF of 4373/765, 1963/8428

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 4373/765, 1963/8428 i.e 1/6447420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4373/765, 1963/8428.

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 4373/765,1963/8428?

Given fractions are 4373/765,1963/8428

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 4373/765,1963/8428, numerators are 4373,1963

Denominators are 765,8428

The GCF of 4373,1963 is 1 .

LCM of 765,8428 is 6447420.

The greatest common factor of 4373/765,1963/8428 = [GCF of 4373,1963]/[LCM of 765,8428]= 1/6447420

Therefore, the GCF of 4373/765,1963/8428 is 1/6447420.

Greatest Common Factor of 4373,1963

To find the highest common factor of 4373,1963, we have to find the factors of both numbers and list the highest common factor.

The factors of 4373 are 1, 4373

The factors of 1963 are 1, 13, 151, 1963

The HCF of 4373,1963 is 1.

Lets's calculate GCF of 4373,1963

Greatest Common Factor (GCF) of 4373,1963 By Common Division

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

Greatest Common Factor of 4373,1963 By Matching Biggest Common Factor Method

Now, list down the factors of 4373

1,4373

Now, list down the factors of 1963

1,13,151,1963

Greatest Common Factor

We found the factors 4373,1963 . The biggest common factor number is the GCF number.
So the greatest common factor 4373,1963 is 1.

Lets's calculate LCM of 765,8428

Lowest Common Multiple of 765,8428 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6447420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6447420

Therefore, the GCF of Fractions 4373/765,1963/8428 is 1/6447420

Least Common Multiple of 765,8428 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 765,8428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,8428) = 1

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

GCF(765,8428) x common factors =1 x 1 = 1

LCM(765,8428) = ( 765 × 8428 ) / 1

LCM(765,8428) = 6447420 / 1

LCM(765,8428) = 6447420

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FAQs on GCF of Fractions of 4373/765, 1963/8428

1. What is the HCF of 4373,1963?

The HCF of 4373,1963 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 4373/765, 1963/8428?

Answer: GCF of Numerators as per given numbers 4373/765, 1963/8428 is

GCF of Numerators i.e. for 4373,1963 is 1

LCM of denominators i.e. for 765,8428 is 6447420.

Thus, GCF of Fractions is 1/6447420.Finally, GCF of Fractions for 4373/765, 1963/8428 is 1/6447420.