How to Find GCF of 6967/596, 9933/1244?

GCF of 6967/596, 9933/1244

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 6967/596, 9933/1244 i.e 1/185356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6967/596, 9933/1244.

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 6967/596,9933/1244?

Given fractions are 6967/596,9933/1244

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 6967/596,9933/1244, numerators are 6967,9933

Denominators are 596,1244

The GCF of 6967,9933 is 1 .

LCM of 596,1244 is 185356.

The greatest common factor of 6967/596,9933/1244 = [GCF of 6967,9933]/[LCM of 596,1244]= 1/185356

Therefore, the GCF of 6967/596,9933/1244 is 1/185356.

Greatest Common Factor of 6967,9933

To find the highest common factor of 6967,9933, we have to find the factors of both numbers and list the highest common factor.

The factors of 6967 are 1, 6967

The factors of 9933 are 1, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311, 9933

The HCF of 6967,9933 is 1.

Lets's calculate GCF of 6967,9933

Greatest Common Factor (GCF) of 6967,9933 By Common Division

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

Greatest Common Factor of 6967,9933 By Matching Biggest Common Factor Method

Now, list down the factors of 6967

1,6967

Now, list down the factors of 9933

1,3,7,11,21,33,43,77,129,231,301,473,903,1419,3311,9933

Greatest Common Factor

We found the factors 6967,9933 . The biggest common factor number is the GCF number.
So the greatest common factor 6967,9933 is 1.

Lets's calculate LCM of 596,1244

Lowest Common Multiple of 596,1244 using Common Division

2	596, 1244
2	298, 622
	149, 311

∴ So the LCM of the given numbers is 2 x 2 x 149 x 311 = 185356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185356

Therefore, the GCF of Fractions 6967/596,9933/1244 is 1/185356

Least Common Multiple of 596,1244 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 596,1244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,1244) = 4

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

GCF(596,1244) x common factors =4 x 1 = 4

LCM(596,1244) = ( 596 × 1244 ) / 4

LCM(596,1244) = 741424 / 4

LCM(596,1244) = 185356

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FAQs on GCF of Fractions of 6967/596, 9933/1244

1. What is the HCF of 6967,9933?

The HCF of 6967,9933 is 1

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 6967/596, 9933/1244?

Answer: GCF of Numerators as per given numbers 6967/596, 9933/1244 is

GCF of Numerators i.e. for 6967,9933 is 1

LCM of denominators i.e. for 596,1244 is 185356.

Thus, GCF of Fractions is 1/185356.Finally, GCF of Fractions for 6967/596, 9933/1244 is 1/185356.