GCF of 4267/365, 5944/985
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4267/365, 5944/985 i.e 1/71905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4267/365, 5944/985.
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 4267/365,5944/985?
Given fractions are 4267/365,5944/985
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 4267/365,5944/985, numerators are 4267,5944
Denominators are 365,985
The GCF of 4267,5944 is 1 .
LCM of 365,985 is 71905.
The greatest common factor of 4267/365,5944/985 = [GCF of 4267,5944]/[LCM of 365,985]= 1/71905
Therefore, the GCF of 4267/365,5944/985 is 1/71905.
To find the highest common factor of 4267,5944, we have to find the factors of both numbers and list the highest common factor.
The factors of 4267 are 1, 17, 251, 4267
The factors of 5944 are 1, 2, 4, 8, 743, 1486, 2972, 5944
The HCF of 4267,5944 is 1.
Lets's calculate GCF of 4267,5944
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4267,5944 By Matching Biggest Common Factor Method
Now, list down the factors of 4267
:1,17,251,4267
Now, list down the factors of 5944
:1,2,4,8,743,1486,2972,5944
Greatest Common Factor
We found the factors 4267,5944 . The biggest common factor number is the GCF number.
So the greatest common factor 4267,5944 is 1.
Lets's calculate LCM of 365,985
| 5 | 365, 985 |
| 73, 197 |
∴ So the LCM of the given numbers is 5 x 73 x 197 = 71905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71905
Therefore, the GCF of Fractions 4267/365,5944/985 is 1/71905
Least Common Multiple of 365,985 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 365,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,985) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(365,985) x common factors =5 x 1 = 5
LCM(365,985) = ( 365 × 985 ) / 5
LCM(365,985) = 359525 / 5
LCM(365,985) = 71905
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4267/365, 5944/985
1. What is the HCF of 4267,5944?
The HCF of 4267,5944 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 4267/365, 5944/985?
Answer: GCF of Numerators as per given numbers 4267/365, 5944/985 is
GCF of Numerators i.e. for 4267,5944 is 1
LCM of denominators i.e. for 365,985 is 71905.
Thus, GCF of Fractions is 1/71905.Finally, GCF of Fractions for 4267/365, 5944/985 is 1/71905.