How to Find GCF of 1487/190, 5004/963?

GCF of 1487/190, 5004/963

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 1487/190, 5004/963 i.e 1/182970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1487/190, 5004/963.

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 1487/190,5004/963?

Given fractions are 1487/190,5004/963

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 1487/190,5004/963, numerators are 1487,5004

Denominators are 190,963

The GCF of 1487,5004 is 1 .

LCM of 190,963 is 182970.

The greatest common factor of 1487/190,5004/963 = [GCF of 1487,5004]/[LCM of 190,963]= 1/182970

Therefore, the GCF of 1487/190,5004/963 is 1/182970.

Greatest Common Factor of 1487,5004

To find the highest common factor of 1487,5004, we have to find the factors of both numbers and list the highest common factor.

The factors of 1487 are 1, 1487

The factors of 5004 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004

The HCF of 1487,5004 is 1.

Lets's calculate GCF of 1487,5004

Greatest Common Factor (GCF) of 1487,5004 By Common Division

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

Greatest Common Factor of 1487,5004 By Matching Biggest Common Factor Method

Now, list down the factors of 1487

1,1487

Now, list down the factors of 5004

1,2,3,4,6,9,12,18,36,139,278,417,556,834,1251,1668,2502,5004

Greatest Common Factor

We found the factors 1487,5004 . The biggest common factor number is the GCF number.
So the greatest common factor 1487,5004 is 1.

Lets's calculate LCM of 190,963

Lowest Common Multiple of 190,963 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 182970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182970

Therefore, the GCF of Fractions 1487/190,5004/963 is 1/182970

Least Common Multiple of 190,963 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 190,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,963) = 1

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

GCF(190,963) x common factors =1 x 1 = 1

LCM(190,963) = ( 190 × 963 ) / 1

LCM(190,963) = 182970 / 1

LCM(190,963) = 182970

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1487/190, 5004/963

1. What is the HCF of 1487,5004?

The HCF of 1487,5004 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 1487/190, 5004/963?

Answer: GCF of Numerators as per given numbers 1487/190, 5004/963 is

GCF of Numerators i.e. for 1487,5004 is 1

LCM of denominators i.e. for 190,963 is 182970.

Thus, GCF of Fractions is 1/182970.Finally, GCF of Fractions for 1487/190, 5004/963 is 1/182970.