How to Find GCF of 1338/614, 9134/9931?

GCF of 1338/614, 9134/9931

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 1338/614, 9134/9931 i.e 2/6097634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1338/614, 9134/9931.

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 1338/614,9134/9931?

Given fractions are 1338/614,9134/9931

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 1338/614,9134/9931, numerators are 1338,9134

Denominators are 614,9931

The GCF of 1338,9134 is 2 .

LCM of 614,9931 is 6097634.

The greatest common factor of 1338/614,9134/9931 = [GCF of 1338,9134]/[LCM of 614,9931]= 2/6097634

Therefore, the GCF of 1338/614,9134/9931 is 2/6097634.

Greatest Common Factor of 1338,9134

To find the highest common factor of 1338,9134, we have to find the factors of both numbers and list the highest common factor.

The factors of 1338 are 1, 2, 3, 6, 223, 446, 669, 1338

The factors of 9134 are 1, 2, 4567, 9134

The HCF of 1338,9134 is 2.

Lets's calculate GCF of 1338,9134

Greatest Common Factor (GCF) of 1338,9134 By Common Division

2	1338, 9134
	669, 4567

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

Greatest Common Factor of 1338,9134 By Matching Biggest Common Factor Method

Now, list down the factors of 1338

1,2,3,6,223,446,669,1338

Now, list down the factors of 9134

1,2,4567,9134

Greatest Common Factor

We found the factors 1338,9134 . The biggest common factor number is the GCF number.
So the greatest common factor 1338,9134 is 2.

Lets's calculate LCM of 614,9931

Lowest Common Multiple of 614,9931 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6097634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6097634

Therefore, the GCF of Fractions 1338/614,9134/9931 is 2/6097634

Least Common Multiple of 614,9931 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 614,9931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,9931) = 1

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

GCF(614,9931) x common factors =1 x 1 = 1

LCM(614,9931) = ( 614 × 9931 ) / 1

LCM(614,9931) = 6097634 / 1

LCM(614,9931) = 6097634

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FAQs on GCF of Fractions of 1338/614, 9134/9931

1. What is the HCF of 1338,9134?

The HCF of 1338,9134 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 1338/614, 9134/9931?

Answer: GCF of Numerators as per given numbers 1338/614, 9134/9931 is

GCF of Numerators i.e. for 1338,9134 is 2

LCM of denominators i.e. for 614,9931 is 6097634.

Thus, GCF of Fractions is 2/6097634.Finally, GCF of Fractions for 1338/614, 9134/9931 is 2/6097634.