How to Find GCF of 7194/695, 3344/5943?

GCF of 7194/695, 3344/5943

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 7194/695, 3344/5943 i.e 22/4130385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7194/695, 3344/5943.

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 7194/695,3344/5943?

Given fractions are 7194/695,3344/5943

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 7194/695,3344/5943, numerators are 7194,3344

Denominators are 695,5943

The GCF of 7194,3344 is 22 .

LCM of 695,5943 is 4130385.

The greatest common factor of 7194/695,3344/5943 = [GCF of 7194,3344]/[LCM of 695,5943]= 22/4130385

Therefore, the GCF of 7194/695,3344/5943 is 22/4130385.

Greatest Common Factor of 7194,3344

To find the highest common factor of 7194,3344, we have to find the factors of both numbers and list the highest common factor.

The factors of 7194 are 1, 2, 3, 6, 11, 22, 33, 66, 109, 218, 327, 654, 1199, 2398, 3597, 7194

The factors of 3344 are 1, 2, 4, 8, 11, 16, 19, 22, 38, 44, 76, 88, 152, 176, 209, 304, 418, 836, 1672, 3344

The HCF of 7194,3344 is 22.

Lets's calculate GCF of 7194,3344

Greatest Common Factor (GCF) of 7194,3344 By Common Division

2	7194, 3344
11	3597, 1672
	327, 152

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 7194,3344 By Matching Biggest Common Factor Method

Now, list down the factors of 7194

1,2,3,6,11,22,33,66,109,218,327,654,1199,2398,3597,7194

Now, list down the factors of 3344

1,2,4,8,11,16,19,22,38,44,76,88,152,176,209,304,418,836,1672,3344

Greatest Common Factor

We found the factors 7194,3344 . The biggest common factor number is the GCF number.
So the greatest common factor 7194,3344 is 22.

Lets's calculate LCM of 695,5943

Lowest Common Multiple of 695,5943 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4130385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/4130385

Therefore, the GCF of Fractions 7194/695,3344/5943 is 22/4130385

Least Common Multiple of 695,5943 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 695,5943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,5943) = 1

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

GCF(695,5943) x common factors =1 x 1 = 1

LCM(695,5943) = ( 695 × 5943 ) / 1

LCM(695,5943) = 4130385 / 1

LCM(695,5943) = 4130385

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FAQs on GCF of Fractions of 7194/695, 3344/5943

1. What is the HCF of 7194,3344?

The HCF of 7194,3344 is 22

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 7194/695, 3344/5943?

Answer: GCF of Numerators as per given numbers 7194/695, 3344/5943 is

GCF of Numerators i.e. for 7194,3344 is 22

LCM of denominators i.e. for 695,5943 is 4130385.

Thus, GCF of Fractions is 22/4130385.Finally, GCF of Fractions for 7194/695, 3344/5943 is 22/4130385.