GCF of 1087/862, 4382/6589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1087/862, 4382/6589 i.e 1/5679718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1087/862, 4382/6589.
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 1087/862,4382/6589?
Given fractions are 1087/862,4382/6589
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 1087/862,4382/6589, numerators are 1087,4382
Denominators are 862,6589
The GCF of 1087,4382 is 1 .
LCM of 862,6589 is 5679718.
The greatest common factor of 1087/862,4382/6589 = [GCF of 1087,4382]/[LCM of 862,6589]= 1/5679718
Therefore, the GCF of 1087/862,4382/6589 is 1/5679718.
To find the highest common factor of 1087,4382, we have to find the factors of both numbers and list the highest common factor.
The factors of 1087 are 1, 1087
The factors of 4382 are 1, 2, 7, 14, 313, 626, 2191, 4382
The HCF of 1087,4382 is 1.
Lets's calculate GCF of 1087,4382
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1087,4382 By Matching Biggest Common Factor Method
Now, list down the factors of 1087
:1,1087
Now, list down the factors of 4382
:1,2,7,14,313,626,2191,4382
Greatest Common Factor
We found the factors 1087,4382 . The biggest common factor number is the GCF number.
So the greatest common factor 1087,4382 is 1.
Lets's calculate LCM of 862,6589
Given numbers has no common factors except 1. So, there LCM is their product i.e 5679718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5679718
Therefore, the GCF of Fractions 1087/862,4382/6589 is 1/5679718
Least Common Multiple of 862,6589 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 862,6589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,6589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(862,6589) x common factors =1 x 1 = 1
LCM(862,6589) = ( 862 × 6589 ) / 1
LCM(862,6589) = 5679718 / 1
LCM(862,6589) = 5679718
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1087/862, 4382/6589
1. What is the HCF of 1087,4382?
The HCF of 1087,4382 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 1087/862, 4382/6589?
Answer: GCF of Numerators as per given numbers 1087/862, 4382/6589 is
GCF of Numerators i.e. for 1087,4382 is 1
LCM of denominators i.e. for 862,6589 is 5679718.
Thus, GCF of Fractions is 1/5679718.Finally, GCF of Fractions for 1087/862, 4382/6589 is 1/5679718.