GCF of 941/960, 598/288, 989/662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 941/960, 598/288, 989/662 i.e 1/953280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 941/960, 598/288, 989/662.
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 941/960,598/288,989/662?
Given fractions are 941/960,598/288,989/662
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 941/960,598/288,989/662, numerators are 941,598,989
Denominators are 960,288,662
The GCF of 941,598,989 is 1 .
LCM of 960,288,662 is 953280.
The greatest common factor of 941/960,598/288,989/662 = [GCF of 941,598,989]/[LCM of 960,288,662]= 1/953280
Therefore, the GCF of 941/960,598/288,989/662 is 1/953280.
To find the highest common factor of 941,598,989, we have to find the factors of both numbers and list the highest common factor.
The factors of 941 are 1, 941
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The factors of 989 are 1, 23, 43, 989
The HCF of 941,598,989 is 1.
Lets's calculate GCF of 941,598,989
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 941,598,989 By Matching Biggest Common Factor Method
Now, list down the factors of 941
:1,941
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Now, list down the factors of 989
:1,23,43,989
Greatest Common Factor
We found the factors 941,598,989 . The biggest common factor number is the GCF number.
So the greatest common factor 941,598,989 is 1.
Lets's calculate LCM of 960,288,662
| 2 | 960, 288, 662 |
| 2 | 480, 144, 331 |
| 2 | 240, 72, 331 |
| 2 | 120, 36, 331 |
| 2 | 60, 18, 331 |
| 3 | 30, 9, 331 |
| 10, 3, 331 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 10 x 3 x 331 = 953280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/953280
Therefore, the GCF of Fractions 941/960,598/288,989/662 is 1/953280
Least Common Multiple of 960,288,662 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 960,288,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,288,662) = 2
common factors(in case of two or more numbers have common factors) = 96
GCF(960,288,662) x common factors =2 x 96 = 192
LCM(960,288,662) = ( 960 × 288 × 662 ) / 192
LCM(960,288,662) = 183029760 / 192
LCM(960,288,662) = 953280
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 941/960, 598/288, 989/662
1. What is the HCF of 941,598,989?
The HCF of 941,598,989 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 941/960, 598/288, 989/662?
Answer: GCF of Numerators as per given numbers 941/960, 598/288, 989/662 is
GCF of Numerators i.e. for 941,598,989 is 1
LCM of denominators i.e. for 960,288,662 is 953280.
Thus, GCF of Fractions is 1/953280.Finally, GCF of Fractions for 941/960, 598/288, 989/662 is 1/953280.