Greatest Common Factor of 1298/99, 4680/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1298/99, 4680/830

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 1298/99,4680/830

Given fractions are 1298/99,4680/830

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 1298,4680

Greatest Common Factor of Numerators i.e. GCF of 1298,4680 is 2 .

LCM of Denominators means LCM of 99,830 as per the given fractions.

LCM of 99,830 is 82170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1298,4680

GCF of Fractions 1298/99,4680/830 is 2/82170

2 1298, 4680
649, 2340

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

Greatest Common Factor of 1298,4680 By Matching Biggest Common Factor Method

Greatest Common Factor of 1298,4680 By Matching Biggest Common Factor Method

Factors of 1298

List of positive integer factors of 1298 that divides 1298 without a remainder.

1,2,11,22,59,118,649,1298

Factors of 4680

List of positive integer factors of 4680 that divides 4680 without a remainder.

1,2,3,4,5,6,8,9,10,12,13,15,18,20,24,26,30,36,39,40,45,52,60,65,72,78,90,104,117,120,130,156,180,195,234,260,312,360,390,468,520,585,780,936,1170,1560,2340,4680

Greatest Common Factor

We found the factors 1298,4680 . The biggest common factor number is the GCF number.
So the greatest common factor 1298,4680 is 2.

Lets's calculate LCM of 99,830

Given numbers has no common factors except 1. So, there LCM is their product i.e 82170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/82170

Therefore, the GCF of Fractions 1298/99,4680/830 is 2/82170

Least Common Multiple of 99,830 with GCF Formula

Least Common Multiple of 99,830 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 99,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,830) = 1

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

GCF(99,830) x common factors =1 x 1 = 1

LCM(99,830) = ( 99 × 830 ) / 1

LCM(99,830) = 82170 / 1

LCM(99,830) = 82170


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 1298/99, 4680/830

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 1298/99, 4680/830?

Answer: GCF of Numerators as per given numbers 1298/99, 4680/830 is

GCF of Numerators i.e. for 1298,4680 is 2

LCM of denominators i.e. for 99,830 is 82170.

Thus, GCF of Fractions is 2/82170.Finally, GCF of Fractions for 1298/99, 4680/830 is 2/82170.