Greatest Common Factor of 34/990, 98/625, 406/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/990, 98/625, 406/436

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 34/990,98/625,406/436

Given fractions are 34/990,98/625,406/436

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 34,98,406

Greatest Common Factor of Numerators i.e. GCF of 34,98,406 is 2 .

LCM of Denominators means LCM of 990,625,436 as per the given fractions.

LCM of 990,625,436 is 26977500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,98,406

GCF of Fractions 34/990,98/625,406/436 is 2/26977500

2 34, 98, 406
17, 49, 203

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

Greatest Common Factor of 34,98,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,98,406 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 34,98,406 . The biggest common factor number is the GCF number.
So the greatest common factor 34,98,406 is 2.

Lets's calculate LCM of 990,625,436

2 990, 625, 436
5 495, 625, 218
99, 125, 218

∴ So the LCM of the given numbers is 2 x 5 x 99 x 125 x 218 = 26977500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26977500

Therefore, the GCF of Fractions 34/990,98/625,406/436 is 2/26977500

Least Common Multiple of 990,625,436 with GCF Formula

Least Common Multiple of 990,625,436 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 990,625,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,625,436) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(990,625,436) x common factors =1 x 10 = 10

LCM(990,625,436) = ( 990 × 625 × 436 ) / 10

LCM(990,625,436) = 269775000 / 10

LCM(990,625,436) = 26977500


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 34/990, 98/625, 406/436

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 34/990, 98/625, 406/436?

Answer: GCF of Numerators as per given numbers 34/990, 98/625, 406/436 is

GCF of Numerators i.e. for 34,98,406 is 2

LCM of denominators i.e. for 990,625,436 is 26977500.

Thus, GCF of Fractions is 2/26977500.Finally, GCF of Fractions for 34/990, 98/625, 406/436 is 2/26977500.