Greatest Common Factor of 998/341, 704/194, 754/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 998/341, 704/194, 754/824

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 998/341,704/194,754/824

Given fractions are 998/341,704/194,754/824

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 998,704,754

Greatest Common Factor of Numerators i.e. GCF of 998,704,754 is 2 .

LCM of Denominators means LCM of 341,194,824 as per the given fractions.

LCM of 341,194,824 is 27255448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 998,704,754

GCF of Fractions 998/341,704/194,754/824 is 2/27255448

2 998, 704, 754
499, 352, 377

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

Greatest Common Factor of 998,704,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,704,754 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 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 998,704,754 . The biggest common factor number is the GCF number.
So the greatest common factor 998,704,754 is 2.

Lets's calculate LCM of 341,194,824

2 341, 194, 824
341, 97, 412

∴ So the LCM of the given numbers is 2 x 341 x 97 x 412 = 27255448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27255448

Therefore, the GCF of Fractions 998/341,704/194,754/824 is 2/27255448

Least Common Multiple of 341,194,824 with GCF Formula

Least Common Multiple of 341,194,824 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 341,194,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,194,824) = 1

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

GCF(341,194,824) x common factors =1 x 2 = 2

LCM(341,194,824) = ( 341 × 194 × 824 ) / 2

LCM(341,194,824) = 54510896 / 2

LCM(341,194,824) = 27255448


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 998/341, 704/194, 754/824

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 998/341, 704/194, 754/824?

Answer: GCF of Numerators as per given numbers 998/341, 704/194, 754/824 is

GCF of Numerators i.e. for 998,704,754 is 2

LCM of denominators i.e. for 341,194,824 is 27255448.

Thus, GCF of Fractions is 2/27255448.Finally, GCF of Fractions for 998/341, 704/194, 754/824 is 2/27255448.