GCF of 887/699, 622/858
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 887/699, 622/858 i.e 1/199914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 887/699, 622/858.
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 887/699,622/858?
Given fractions are 887/699,622/858
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 887/699,622/858, numerators are 887,622
Denominators are 699,858
The GCF of 887,622 is 1 .
LCM of 699,858 is 199914.
The greatest common factor of 887/699,622/858 = [GCF of 887,622]/[LCM of 699,858]= 1/199914
Therefore, the GCF of 887/699,622/858 is 1/199914.
To find the highest common factor of 887,622, we have to find the factors of both numbers and list the highest common factor.
The factors of 887 are 1, 887
The factors of 622 are 1, 2, 311, 622
The HCF of 887,622 is 1.
Lets's calculate GCF of 887,622
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 887,622 By Matching Biggest Common Factor Method
Now, list down the factors of 887
:1,887
Now, list down the factors of 622
:1,2,311,622
Greatest Common Factor
We found the factors 887,622 . The biggest common factor number is the GCF number.
So the greatest common factor 887,622 is 1.
Lets's calculate LCM of 699,858
| 3 | 699, 858 |
| 233, 286 |
∴ So the LCM of the given numbers is 3 x 233 x 286 = 199914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199914
Therefore, the GCF of Fractions 887/699,622/858 is 1/199914
Least Common Multiple of 699,858 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 699,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,858) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(699,858) x common factors =3 x 1 = 3
LCM(699,858) = ( 699 × 858 ) / 3
LCM(699,858) = 599742 / 3
LCM(699,858) = 199914
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 887/699, 622/858
1. What is the HCF of 887,622?
The HCF of 887,622 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 887/699, 622/858?
Answer: GCF of Numerators as per given numbers 887/699, 622/858 is
GCF of Numerators i.e. for 887,622 is 1
LCM of denominators i.e. for 699,858 is 199914.
Thus, GCF of Fractions is 1/199914.Finally, GCF of Fractions for 887/699, 622/858 is 1/199914.