How to Find GCF of 1889/492, 2302/8992?

GCF of 1889/492, 2302/8992

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 1889/492, 2302/8992 i.e 1/1106016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1889/492, 2302/8992.

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 1889/492,2302/8992?

Given fractions are 1889/492,2302/8992

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 1889/492,2302/8992, numerators are 1889,2302

Denominators are 492,8992

The GCF of 1889,2302 is 1 .

LCM of 492,8992 is 1106016.

The greatest common factor of 1889/492,2302/8992 = [GCF of 1889,2302]/[LCM of 492,8992]= 1/1106016

Therefore, the GCF of 1889/492,2302/8992 is 1/1106016.

Greatest Common Factor of 1889,2302

To find the highest common factor of 1889,2302, we have to find the factors of both numbers and list the highest common factor.

The factors of 1889 are 1, 1889

The factors of 2302 are 1, 2, 1151, 2302

The HCF of 1889,2302 is 1.

Lets's calculate GCF of 1889,2302

Greatest Common Factor (GCF) of 1889,2302 By Common Division

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

Greatest Common Factor of 1889,2302 By Matching Biggest Common Factor Method

Now, list down the factors of 1889

1,1889

Now, list down the factors of 2302

1,2,1151,2302

Greatest Common Factor

We found the factors 1889,2302 . The biggest common factor number is the GCF number.
So the greatest common factor 1889,2302 is 1.

Lets's calculate LCM of 492,8992

Lowest Common Multiple of 492,8992 using Common Division

2	492, 8992
2	246, 4496
	123, 2248

∴ So the LCM of the given numbers is 2 x 2 x 123 x 2248 = 1106016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1106016

Therefore, the GCF of Fractions 1889/492,2302/8992 is 1/1106016

Least Common Multiple of 492,8992 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 492,8992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,8992) = 4

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

GCF(492,8992) x common factors =4 x 1 = 4

LCM(492,8992) = ( 492 × 8992 ) / 4

LCM(492,8992) = 4424064 / 4

LCM(492,8992) = 1106016

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1889/492, 2302/8992

1. What is the HCF of 1889,2302?

The HCF of 1889,2302 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 1889/492, 2302/8992?

Answer: GCF of Numerators as per given numbers 1889/492, 2302/8992 is

GCF of Numerators i.e. for 1889,2302 is 1

LCM of denominators i.e. for 492,8992 is 1106016.

Thus, GCF of Fractions is 1/1106016.Finally, GCF of Fractions for 1889/492, 2302/8992 is 1/1106016.