How to Find GCF of 1932/442, 7269/9092?

GCF of 1932/442, 7269/9092

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 1932/442, 7269/9092 i.e 3/2009332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1932/442, 7269/9092.

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 1932/442,7269/9092?

Given fractions are 1932/442,7269/9092

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 1932/442,7269/9092, numerators are 1932,7269

Denominators are 442,9092

The GCF of 1932,7269 is 3 .

LCM of 442,9092 is 2009332.

The greatest common factor of 1932/442,7269/9092 = [GCF of 1932,7269]/[LCM of 442,9092]= 3/2009332

Therefore, the GCF of 1932/442,7269/9092 is 3/2009332.

Greatest Common Factor of 1932,7269

To find the highest common factor of 1932,7269, we have to find the factors of both numbers and list the highest common factor.

The factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932

The factors of 7269 are 1, 3, 2423, 7269

The HCF of 1932,7269 is 3.

Lets's calculate GCF of 1932,7269

Greatest Common Factor (GCF) of 1932,7269 By Common Division

3	1932, 7269
	644, 2423

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1932,7269 By Matching Biggest Common Factor Method

Now, list down the factors of 1932

1,2,3,4,6,7,12,14,21,23,28,42,46,69,84,92,138,161,276,322,483,644,966,1932

Now, list down the factors of 7269

1,3,2423,7269

Greatest Common Factor

We found the factors 1932,7269 . The biggest common factor number is the GCF number.
So the greatest common factor 1932,7269 is 3.

Lets's calculate LCM of 442,9092

Lowest Common Multiple of 442,9092 using Common Division

2	442, 9092
	221, 4546

∴ So the LCM of the given numbers is 2 x 221 x 4546 = 2009332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2009332

Therefore, the GCF of Fractions 1932/442,7269/9092 is 3/2009332

Least Common Multiple of 442,9092 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 442,9092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,9092) = 2

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

GCF(442,9092) x common factors =2 x 1 = 2

LCM(442,9092) = ( 442 × 9092 ) / 2

LCM(442,9092) = 4018664 / 2

LCM(442,9092) = 2009332

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FAQs on GCF of Fractions of 1932/442, 7269/9092

1. What is the HCF of 1932,7269?

The HCF of 1932,7269 is 3

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 1932/442, 7269/9092?

Answer: GCF of Numerators as per given numbers 1932/442, 7269/9092 is

GCF of Numerators i.e. for 1932,7269 is 3

LCM of denominators i.e. for 442,9092 is 2009332.

Thus, GCF of Fractions is 3/2009332.Finally, GCF of Fractions for 1932/442, 7269/9092 is 3/2009332.