How to Find GCF of 294/372, 3784/109?

GCF of 294/372, 3784/109

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 294/372, 3784/109 i.e 2/40548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/372, 3784/109.

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 294/372,3784/109?

Given fractions are 294/372,3784/109

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 294/372,3784/109, numerators are 294,3784

Denominators are 372,109

The GCF of 294,3784 is 2 .

LCM of 372,109 is 40548.

The greatest common factor of 294/372,3784/109 = [GCF of 294,3784]/[LCM of 372,109]= 2/40548

Therefore, the GCF of 294/372,3784/109 is 2/40548.

Greatest Common Factor of 294,3784

To find the highest common factor of 294,3784, we have to find the factors of both numbers and list the highest common factor.

The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

The factors of 3784 are 1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784

The HCF of 294,3784 is 2.

Lets's calculate GCF of 294,3784

Greatest Common Factor (GCF) of 294,3784 By Common Division

2	294, 3784
	147, 1892

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

Greatest Common Factor of 294,3784 By Matching Biggest Common Factor Method

Now, list down the factors of 294

1,2,3,6,7,14,21,42,49,98,147,294

Now, list down the factors of 3784

1,2,4,8,11,22,43,44,86,88,172,344,473,946,1892,3784

Greatest Common Factor

We found the factors 294,3784 . The biggest common factor number is the GCF number.
So the greatest common factor 294,3784 is 2.

Lets's calculate LCM of 372,109

Lowest Common Multiple of 372,109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 40548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40548

Therefore, the GCF of Fractions 294/372,3784/109 is 2/40548

Least Common Multiple of 372,109 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 372,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,109) = 1

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

GCF(372,109) x common factors =1 x 1 = 1

LCM(372,109) = ( 372 × 109 ) / 1

LCM(372,109) = 40548 / 1

LCM(372,109) = 40548

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FAQs on GCF of Fractions of 294/372, 3784/109

1. What is the HCF of 294,3784?

The HCF of 294,3784 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 294/372, 3784/109?

Answer: GCF of Numerators as per given numbers 294/372, 3784/109 is

GCF of Numerators i.e. for 294,3784 is 2

LCM of denominators i.e. for 372,109 is 40548.

Thus, GCF of Fractions is 2/40548.Finally, GCF of Fractions for 294/372, 3784/109 is 2/40548.