How to Find GCF of 9934/600, 6410/1398?

GCF of 9934/600, 6410/1398

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9934/600, 6410/1398 i.e 2/139800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9934/600, 6410/1398.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9934/600,6410/1398?

Given fractions are 9934/600,6410/1398

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9934/600,6410/1398, numerators are 9934,6410

Denominators are 600,1398

The GCF of 9934,6410 is 2 .

LCM of 600,1398 is 139800.

The greatest common factor of 9934/600,6410/1398 = [GCF of 9934,6410]/[LCM of 600,1398]= 2/139800

Therefore, the GCF of 9934/600,6410/1398 is 2/139800.

Greatest Common Factor of 9934,6410

To find the highest common factor of 9934,6410, we have to find the factors of both numbers and list the highest common factor.

The factors of 9934 are 1, 2, 4967, 9934

The factors of 6410 are 1, 2, 5, 10, 641, 1282, 3205, 6410

The HCF of 9934,6410 is 2.

Lets's calculate GCF of 9934,6410

Greatest Common Factor (GCF) of 9934,6410 By Common Division

2	9934, 6410
	4967, 3205

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

Greatest Common Factor of 9934,6410 By Matching Biggest Common Factor Method

Now, list down the factors of 9934

1,2,4967,9934

Now, list down the factors of 6410

1,2,5,10,641,1282,3205,6410

Greatest Common Factor

We found the factors 9934,6410 . The biggest common factor number is the GCF number.
So the greatest common factor 9934,6410 is 2.

Lets's calculate LCM of 600,1398

Lowest Common Multiple of 600,1398 using Common Division

2	600, 1398
3	300, 699
	100, 233

∴ So the LCM of the given numbers is 2 x 3 x 100 x 233 = 139800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/139800

Therefore, the GCF of Fractions 9934/600,6410/1398 is 2/139800

Least Common Multiple of 600,1398 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 600,1398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,1398) = 6

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

GCF(600,1398) x common factors =6 x 1 = 6

LCM(600,1398) = ( 600 × 1398 ) / 6

LCM(600,1398) = 838800 / 6

LCM(600,1398) = 139800

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FAQs on GCF of Fractions of 9934/600, 6410/1398

1. What is the HCF of 9934,6410?

The HCF of 9934,6410 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 9934/600, 6410/1398?

Answer: GCF of Numerators as per given numbers 9934/600, 6410/1398 is

GCF of Numerators i.e. for 9934,6410 is 2

LCM of denominators i.e. for 600,1398 is 139800.

Thus, GCF of Fractions is 2/139800.Finally, GCF of Fractions for 9934/600, 6410/1398 is 2/139800.