Greatest Common Factor of 4421/830, 8587/1764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4421/830, 8587/1764

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 4421/830,8587/1764

Given fractions are 4421/830,8587/1764

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4421,8587

Greatest Common Factor of Numerators i.e. GCF of 4421,8587 is 1 .

LCM of Denominators means LCM of 830,1764 as per the given fractions.

LCM of 830,1764 is 732060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4421,8587

GCF of Fractions 4421/830,8587/1764 is 1/732060

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

Greatest Common Factor of 4421,8587 By Matching Biggest Common Factor Method

Greatest Common Factor of 4421,8587 By Matching Biggest Common Factor Method

Factors of 4421

List of positive integer factors of 4421 that divides 4421 without a remainder.

1,4421

Factors of 8587

List of positive integer factors of 8587 that divides 8587 without a remainder.

1,31,277,8587

Greatest Common Factor

We found the factors 4421,8587 . The biggest common factor number is the GCF number.
So the greatest common factor 4421,8587 is 1.

Lets's calculate LCM of 830,1764

2 830, 1764
415, 882

∴ So the LCM of the given numbers is 2 x 415 x 882 = 732060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/732060

Therefore, the GCF of Fractions 4421/830,8587/1764 is 1/732060

Least Common Multiple of 830,1764 with GCF Formula

Least Common Multiple of 830,1764 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 830,1764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,1764) = 2

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

GCF(830,1764) x common factors =2 x 1 = 2

LCM(830,1764) = ( 830 × 1764 ) / 2

LCM(830,1764) = 1464120 / 2

LCM(830,1764) = 732060


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4421/830, 8587/1764

1. 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.

2. What is the GCF of Fractions for 4421/830, 8587/1764?

Answer: GCF of Numerators as per given numbers 4421/830, 8587/1764 is

GCF of Numerators i.e. for 4421,8587 is 1

LCM of denominators i.e. for 830,1764 is 732060.

Thus, GCF of Fractions is 1/732060.Finally, GCF of Fractions for 4421/830, 8587/1764 is 1/732060.