How to Find GCF of 1856/183, 9322/7274?

GCF of 1856/183, 9322/7274

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 1856/183, 9322/7274 i.e 2/1331142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1856/183, 9322/7274.

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 1856/183,9322/7274?

Given fractions are 1856/183,9322/7274

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 1856/183,9322/7274, numerators are 1856,9322

Denominators are 183,7274

The GCF of 1856,9322 is 2 .

LCM of 183,7274 is 1331142.

The greatest common factor of 1856/183,9322/7274 = [GCF of 1856,9322]/[LCM of 183,7274]= 2/1331142

Therefore, the GCF of 1856/183,9322/7274 is 2/1331142.

Greatest Common Factor of 1856,9322

To find the highest common factor of 1856,9322, we have to find the factors of both numbers and list the highest common factor.

The factors of 1856 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928, 1856

The factors of 9322 are 1, 2, 59, 79, 118, 158, 4661, 9322

The HCF of 1856,9322 is 2.

Lets's calculate GCF of 1856,9322

Greatest Common Factor (GCF) of 1856,9322 By Common Division

2	1856, 9322
	928, 4661

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

Greatest Common Factor of 1856,9322 By Matching Biggest Common Factor Method

Now, list down the factors of 1856

1,2,4,8,16,29,32,58,64,116,232,464,928,1856

Now, list down the factors of 9322

1,2,59,79,118,158,4661,9322

Greatest Common Factor

We found the factors 1856,9322 . The biggest common factor number is the GCF number.
So the greatest common factor 1856,9322 is 2.

Lets's calculate LCM of 183,7274

Lowest Common Multiple of 183,7274 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1331142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1331142

Therefore, the GCF of Fractions 1856/183,9322/7274 is 2/1331142

Least Common Multiple of 183,7274 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 183,7274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(183,7274) = 1

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

GCF(183,7274) x common factors =1 x 1 = 1

LCM(183,7274) = ( 183 × 7274 ) / 1

LCM(183,7274) = 1331142 / 1

LCM(183,7274) = 1331142

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1856/183, 9322/7274

1. What is the HCF of 1856,9322?

The HCF of 1856,9322 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 1856/183, 9322/7274?

Answer: GCF of Numerators as per given numbers 1856/183, 9322/7274 is

GCF of Numerators i.e. for 1856,9322 is 2

LCM of denominators i.e. for 183,7274 is 1331142.

Thus, GCF of Fractions is 2/1331142.Finally, GCF of Fractions for 1856/183, 9322/7274 is 2/1331142.