GCF of 8954/968, 1364/3032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8954/968, 1364/3032 i.e 22/366872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8954/968, 1364/3032.
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 8954/968,1364/3032?
Given fractions are 8954/968,1364/3032
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 8954/968,1364/3032, numerators are 8954,1364
Denominators are 968,3032
The GCF of 8954,1364 is 22 .
LCM of 968,3032 is 366872.
The greatest common factor of 8954/968,1364/3032 = [GCF of 8954,1364]/[LCM of 968,3032]= 22/366872
Therefore, the GCF of 8954/968,1364/3032 is 22/366872.
To find the highest common factor of 8954,1364, we have to find the factors of both numbers and list the highest common factor.
The factors of 8954 are 1, 2, 11, 22, 37, 74, 121, 242, 407, 814, 4477, 8954
The factors of 1364 are 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364
The HCF of 8954,1364 is 22.
Lets's calculate GCF of 8954,1364
| 2 | 8954, 1364 |
| 11 | 4477, 682 |
| 407, 62 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 8954,1364 By Matching Biggest Common Factor Method
Now, list down the factors of 8954
:1,2,11,22,37,74,121,242,407,814,4477,8954
Now, list down the factors of 1364
:1,2,4,11,22,31,44,62,124,341,682,1364
Greatest Common Factor
We found the factors 8954,1364 . The biggest common factor number is the GCF number.
So the greatest common factor 8954,1364 is 22.
Lets's calculate LCM of 968,3032
| 2 | 968, 3032 |
| 2 | 484, 1516 |
| 2 | 242, 758 |
| 121, 379 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 121 x 379 = 366872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/366872
Therefore, the GCF of Fractions 8954/968,1364/3032 is 22/366872
Least Common Multiple of 968,3032 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 968,3032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,3032) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(968,3032) x common factors =8 x 1 = 8
LCM(968,3032) = ( 968 × 3032 ) / 8
LCM(968,3032) = 2934976 / 8
LCM(968,3032) = 366872
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FAQs on GCF of Fractions of 8954/968, 1364/3032
1. What is the HCF of 8954,1364?
The HCF of 8954,1364 is 22
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 8954/968, 1364/3032?
Answer: GCF of Numerators as per given numbers 8954/968, 1364/3032 is
GCF of Numerators i.e. for 8954,1364 is 22
LCM of denominators i.e. for 968,3032 is 366872.
Thus, GCF of Fractions is 22/366872.Finally, GCF of Fractions for 8954/968, 1364/3032 is 22/366872.