How to Find GCF of 5067/325, 1922/2487?

GCF of 5067/325, 1922/2487

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 5067/325, 1922/2487 i.e 1/808275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5067/325, 1922/2487.

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 5067/325,1922/2487?

Given fractions are 5067/325,1922/2487

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 5067/325,1922/2487, numerators are 5067,1922

Denominators are 325,2487

The GCF of 5067,1922 is 1 .

LCM of 325,2487 is 808275.

The greatest common factor of 5067/325,1922/2487 = [GCF of 5067,1922]/[LCM of 325,2487]= 1/808275

Therefore, the GCF of 5067/325,1922/2487 is 1/808275.

Greatest Common Factor of 5067,1922

To find the highest common factor of 5067,1922, we have to find the factors of both numbers and list the highest common factor.

The factors of 5067 are 1, 3, 9, 563, 1689, 5067

The factors of 1922 are 1, 2, 31, 62, 961, 1922

The HCF of 5067,1922 is 1.

Lets's calculate GCF of 5067,1922

Greatest Common Factor (GCF) of 5067,1922 By Common Division

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

Greatest Common Factor of 5067,1922 By Matching Biggest Common Factor Method

Now, list down the factors of 5067

1,3,9,563,1689,5067

Now, list down the factors of 1922

1,2,31,62,961,1922

Greatest Common Factor

We found the factors 5067,1922 . The biggest common factor number is the GCF number.
So the greatest common factor 5067,1922 is 1.

Lets's calculate LCM of 325,2487

Lowest Common Multiple of 325,2487 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 808275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/808275

Therefore, the GCF of Fractions 5067/325,1922/2487 is 1/808275

Least Common Multiple of 325,2487 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 325,2487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,2487) = 1

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

GCF(325,2487) x common factors =1 x 1 = 1

LCM(325,2487) = ( 325 × 2487 ) / 1

LCM(325,2487) = 808275 / 1

LCM(325,2487) = 808275

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FAQs on GCF of Fractions of 5067/325, 1922/2487

1. What is the HCF of 5067,1922?

The HCF of 5067,1922 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 5067/325, 1922/2487?

Answer: GCF of Numerators as per given numbers 5067/325, 1922/2487 is

GCF of Numerators i.e. for 5067,1922 is 1

LCM of denominators i.e. for 325,2487 is 808275.

Thus, GCF of Fractions is 1/808275.Finally, GCF of Fractions for 5067/325, 1922/2487 is 1/808275.