Greatest Common Factor of 4116/998, 4472/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4116/998, 4472/719

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 4116/998,4472/719

Given fractions are 4116/998,4472/719

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 4116,4472

Greatest Common Factor of Numerators i.e. GCF of 4116,4472 is 4 .

LCM of Denominators means LCM of 998,719 as per the given fractions.

LCM of 998,719 is 717562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4116,4472

GCF of Fractions 4116/998,4472/719 is 4/717562

2 4116, 4472
2 2058, 2236
1029, 1118

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4116,4472 By Matching Biggest Common Factor Method

Greatest Common Factor of 4116,4472 By Matching Biggest Common Factor Method

Factors of 4116

List of positive integer factors of 4116 that divides 4116 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,343,588,686,1029,1372,2058,4116

Factors of 4472

List of positive integer factors of 4472 that divides 4472 without a remainder.

1,2,4,8,13,26,43,52,86,104,172,344,559,1118,2236,4472

Greatest Common Factor

We found the factors 4116,4472 . The biggest common factor number is the GCF number.
So the greatest common factor 4116,4472 is 4.

Lets's calculate LCM of 998,719

Given numbers has no common factors except 1. So, there LCM is their product i.e 717562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/717562

Therefore, the GCF of Fractions 4116/998,4472/719 is 4/717562

Least Common Multiple of 998,719 with GCF Formula

Least Common Multiple of 998,719 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 998,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,719) = 1

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

GCF(998,719) x common factors =1 x 1 = 1

LCM(998,719) = ( 998 × 719 ) / 1

LCM(998,719) = 717562 / 1

LCM(998,719) = 717562


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 4116/998, 4472/719

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 4116/998, 4472/719?

Answer: GCF of Numerators as per given numbers 4116/998, 4472/719 is

GCF of Numerators i.e. for 4116,4472 is 4

LCM of denominators i.e. for 998,719 is 717562.

Thus, GCF of Fractions is 4/717562.Finally, GCF of Fractions for 4116/998, 4472/719 is 4/717562.