Greatest Common Factor of 14/529, 980/620, 667/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/529, 980/620, 667/244

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 14/529,980/620,667/244

Given fractions are 14/529,980/620,667/244

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 14,980,667

Greatest Common Factor of Numerators i.e. GCF of 14,980,667 is 1 .

LCM of Denominators means LCM of 529,620,244 as per the given fractions.

LCM of 529,620,244 is 20006780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,980,667

GCF of Fractions 14/529,980/620,667/244 is 1/20006780

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

Greatest Common Factor of 14,980,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,980,667 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 14,980,667 . The biggest common factor number is the GCF number.
So the greatest common factor 14,980,667 is 1.

Lets's calculate LCM of 529,620,244

2 529, 620, 244
2 529, 310, 122
529, 155, 61

∴ So the LCM of the given numbers is 2 x 2 x 529 x 155 x 61 = 20006780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20006780

Therefore, the GCF of Fractions 14/529,980/620,667/244 is 1/20006780

Least Common Multiple of 529,620,244 with GCF Formula

Least Common Multiple of 529,620,244 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 529,620,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,620,244) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(529,620,244) x common factors =1 x 4 = 4

LCM(529,620,244) = ( 529 × 620 × 244 ) / 4

LCM(529,620,244) = 80027120 / 4

LCM(529,620,244) = 20006780


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 14/529, 980/620, 667/244

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 14/529, 980/620, 667/244?

Answer: GCF of Numerators as per given numbers 14/529, 980/620, 667/244 is

GCF of Numerators i.e. for 14,980,667 is 1

LCM of denominators i.e. for 529,620,244 is 20006780.

Thus, GCF of Fractions is 1/20006780.Finally, GCF of Fractions for 14/529, 980/620, 667/244 is 1/20006780.