How to Find GCF of 1886/590, 8097/5312?

GCF of 1886/590, 8097/5312

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 1886/590, 8097/5312 i.e 1/1567040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1886/590, 8097/5312.

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 1886/590,8097/5312?

Given fractions are 1886/590,8097/5312

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 1886/590,8097/5312, numerators are 1886,8097

Denominators are 590,5312

The GCF of 1886,8097 is 1 .

LCM of 590,5312 is 1567040.

The greatest common factor of 1886/590,8097/5312 = [GCF of 1886,8097]/[LCM of 590,5312]= 1/1567040

Therefore, the GCF of 1886/590,8097/5312 is 1/1567040.

Greatest Common Factor of 1886,8097

To find the highest common factor of 1886,8097, we have to find the factors of both numbers and list the highest common factor.

The factors of 1886 are 1, 2, 23, 41, 46, 82, 943, 1886

The factors of 8097 are 1, 3, 2699, 8097

The HCF of 1886,8097 is 1.

Lets's calculate GCF of 1886,8097

Greatest Common Factor (GCF) of 1886,8097 By Common Division

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

Greatest Common Factor of 1886,8097 By Matching Biggest Common Factor Method

Now, list down the factors of 1886

1,2,23,41,46,82,943,1886

Now, list down the factors of 8097

1,3,2699,8097

Greatest Common Factor

We found the factors 1886,8097 . The biggest common factor number is the GCF number.
So the greatest common factor 1886,8097 is 1.

Lets's calculate LCM of 590,5312

Lowest Common Multiple of 590,5312 using Common Division

2	590, 5312
	295, 2656

∴ So the LCM of the given numbers is 2 x 295 x 2656 = 1567040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1567040

Therefore, the GCF of Fractions 1886/590,8097/5312 is 1/1567040

Least Common Multiple of 590,5312 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 590,5312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,5312) = 2

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

GCF(590,5312) x common factors =2 x 1 = 2

LCM(590,5312) = ( 590 × 5312 ) / 2

LCM(590,5312) = 3134080 / 2

LCM(590,5312) = 1567040

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FAQs on GCF of Fractions of 1886/590, 8097/5312

1. What is the HCF of 1886,8097?

The HCF of 1886,8097 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 1886/590, 8097/5312?

Answer: GCF of Numerators as per given numbers 1886/590, 8097/5312 is

GCF of Numerators i.e. for 1886,8097 is 1

LCM of denominators i.e. for 590,5312 is 1567040.

Thus, GCF of Fractions is 1/1567040.Finally, GCF of Fractions for 1886/590, 8097/5312 is 1/1567040.