GCF of 1422/987, 1578/3847
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1422/987, 1578/3847 i.e 6/3796989 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1422/987, 1578/3847.
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 1422/987,1578/3847?
Given fractions are 1422/987,1578/3847
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 1422/987,1578/3847, numerators are 1422,1578
Denominators are 987,3847
The GCF of 1422,1578 is 6 .
LCM of 987,3847 is 3796989.
The greatest common factor of 1422/987,1578/3847 = [GCF of 1422,1578]/[LCM of 987,3847]= 6/3796989
Therefore, the GCF of 1422/987,1578/3847 is 6/3796989.
To find the highest common factor of 1422,1578, we have to find the factors of both numbers and list the highest common factor.
The factors of 1422 are 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422
The factors of 1578 are 1, 2, 3, 6, 263, 526, 789, 1578
The HCF of 1422,1578 is 6.
Lets's calculate GCF of 1422,1578
| 2 | 1422, 1578 |
| 3 | 711, 789 |
| 237, 263 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1422,1578 By Matching Biggest Common Factor Method
Now, list down the factors of 1422
:1,2,3,6,9,18,79,158,237,474,711,1422
Now, list down the factors of 1578
:1,2,3,6,263,526,789,1578
Greatest Common Factor
We found the factors 1422,1578 . The biggest common factor number is the GCF number.
So the greatest common factor 1422,1578 is 6.
Lets's calculate LCM of 987,3847
Given numbers has no common factors except 1. So, there LCM is their product i.e 3796989
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3796989
Therefore, the GCF of Fractions 1422/987,1578/3847 is 6/3796989
Least Common Multiple of 987,3847 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 987,3847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,3847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,3847) x common factors =1 x 1 = 1
LCM(987,3847) = ( 987 × 3847 ) / 1
LCM(987,3847) = 3796989 / 1
LCM(987,3847) = 3796989
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1422/987, 1578/3847
1. What is the HCF of 1422,1578?
The HCF of 1422,1578 is 6
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 1422/987, 1578/3847?
Answer: GCF of Numerators as per given numbers 1422/987, 1578/3847 is
GCF of Numerators i.e. for 1422,1578 is 6
LCM of denominators i.e. for 987,3847 is 3796989.
Thus, GCF of Fractions is 6/3796989.Finally, GCF of Fractions for 1422/987, 1578/3847 is 6/3796989.