GCF of 1387/574, 1851/631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1387/574, 1851/631 i.e 1/362194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1387/574, 1851/631.
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 1387/574,1851/631?
Given fractions are 1387/574,1851/631
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 1387/574,1851/631, numerators are 1387,1851
Denominators are 574,631
The GCF of 1387,1851 is 1 .
LCM of 574,631 is 362194.
The greatest common factor of 1387/574,1851/631 = [GCF of 1387,1851]/[LCM of 574,631]= 1/362194
Therefore, the GCF of 1387/574,1851/631 is 1/362194.
To find the highest common factor of 1387,1851, we have to find the factors of both numbers and list the highest common factor.
The factors of 1387 are 1, 19, 73, 1387
The factors of 1851 are 1, 3, 617, 1851
The HCF of 1387,1851 is 1.
Lets's calculate GCF of 1387,1851
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1387,1851 By Matching Biggest Common Factor Method
Now, list down the factors of 1387
:1,19,73,1387
Now, list down the factors of 1851
:1,3,617,1851
Greatest Common Factor
We found the factors 1387,1851 . The biggest common factor number is the GCF number.
So the greatest common factor 1387,1851 is 1.
Lets's calculate LCM of 574,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 362194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/362194
Therefore, the GCF of Fractions 1387/574,1851/631 is 1/362194
Least Common Multiple of 574,631 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 574,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(574,631) x common factors =1 x 1 = 1
LCM(574,631) = ( 574 × 631 ) / 1
LCM(574,631) = 362194 / 1
LCM(574,631) = 362194
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1387/574, 1851/631
1. What is the HCF of 1387,1851?
The HCF of 1387,1851 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 1387/574, 1851/631?
Answer: GCF of Numerators as per given numbers 1387/574, 1851/631 is
GCF of Numerators i.e. for 1387,1851 is 1
LCM of denominators i.e. for 574,631 is 362194.
Thus, GCF of Fractions is 1/362194.Finally, GCF of Fractions for 1387/574, 1851/631 is 1/362194.