How to Find GCF of 4621/385, 4365/4370?

GCF of 4621/385, 4365/4370

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 4621/385, 4365/4370 i.e 1/336490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4621/385, 4365/4370.

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 4621/385,4365/4370?

Given fractions are 4621/385,4365/4370

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 4621/385,4365/4370, numerators are 4621,4365

Denominators are 385,4370

The GCF of 4621,4365 is 1 .

LCM of 385,4370 is 336490.

The greatest common factor of 4621/385,4365/4370 = [GCF of 4621,4365]/[LCM of 385,4370]= 1/336490

Therefore, the GCF of 4621/385,4365/4370 is 1/336490.

Greatest Common Factor of 4621,4365

To find the highest common factor of 4621,4365, we have to find the factors of both numbers and list the highest common factor.

The factors of 4621 are 1, 4621

The factors of 4365 are 1, 3, 5, 9, 15, 45, 97, 291, 485, 873, 1455, 4365

The HCF of 4621,4365 is 1.

Lets's calculate GCF of 4621,4365

Greatest Common Factor (GCF) of 4621,4365 By Common Division

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

Greatest Common Factor of 4621,4365 By Matching Biggest Common Factor Method

Now, list down the factors of 4621

1,4621

Now, list down the factors of 4365

1,3,5,9,15,45,97,291,485,873,1455,4365

Greatest Common Factor

We found the factors 4621,4365 . The biggest common factor number is the GCF number.
So the greatest common factor 4621,4365 is 1.

Lets's calculate LCM of 385,4370

Lowest Common Multiple of 385,4370 using Common Division

5	385, 4370
	77, 874

∴ So the LCM of the given numbers is 5 x 77 x 874 = 336490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/336490

Therefore, the GCF of Fractions 4621/385,4365/4370 is 1/336490

Least Common Multiple of 385,4370 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 385,4370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,4370) = 5

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

GCF(385,4370) x common factors =5 x 1 = 5

LCM(385,4370) = ( 385 × 4370 ) / 5

LCM(385,4370) = 1682450 / 5

LCM(385,4370) = 336490

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FAQs on GCF of Fractions of 4621/385, 4365/4370

1. What is the HCF of 4621,4365?

The HCF of 4621,4365 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 4621/385, 4365/4370?

Answer: GCF of Numerators as per given numbers 4621/385, 4365/4370 is

GCF of Numerators i.e. for 4621,4365 is 1

LCM of denominators i.e. for 385,4370 is 336490.

Thus, GCF of Fractions is 1/336490.Finally, GCF of Fractions for 4621/385, 4365/4370 is 1/336490.