Greatest Common Factor of 998/35, 551/78, 590/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 998/35, 551/78, 590/334

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 998/35,551/78,590/334

Given fractions are 998/35,551/78,590/334

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 998,551,590

Greatest Common Factor of Numerators i.e. GCF of 998,551,590 is 1 .

LCM of Denominators means LCM of 35,78,334 as per the given fractions.

LCM of 35,78,334 is 455910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 998,551,590

GCF of Fractions 998/35,551/78,590/334 is 1/455910

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

Greatest Common Factor of 998,551,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,551,590 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 998,551,590 . The biggest common factor number is the GCF number.
So the greatest common factor 998,551,590 is 1.

Lets's calculate LCM of 35,78,334

2 35, 78, 334
35, 39, 167

∴ So the LCM of the given numbers is 2 x 35 x 39 x 167 = 455910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/455910

Therefore, the GCF of Fractions 998/35,551/78,590/334 is 1/455910

Least Common Multiple of 35,78,334 with GCF Formula

Least Common Multiple of 35,78,334 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 35,78,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,78,334) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(35,78,334) x common factors =1 x 2 = 2

LCM(35,78,334) = ( 35 × 78 × 334 ) / 2

LCM(35,78,334) = 911820 / 2

LCM(35,78,334) = 455910


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 998/35, 551/78, 590/334

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 998/35, 551/78, 590/334?

Answer: GCF of Numerators as per given numbers 998/35, 551/78, 590/334 is

GCF of Numerators i.e. for 998,551,590 is 1

LCM of denominators i.e. for 35,78,334 is 455910.

Thus, GCF of Fractions is 1/455910.Finally, GCF of Fractions for 998/35, 551/78, 590/334 is 1/455910.