GCF of 1308/556, 8964/369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1308/556, 8964/369 i.e 12/205164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1308/556, 8964/369.
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 1308/556,8964/369?
Given fractions are 1308/556,8964/369
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 1308/556,8964/369, numerators are 1308,8964
Denominators are 556,369
The GCF of 1308,8964 is 12 .
LCM of 556,369 is 205164.
The greatest common factor of 1308/556,8964/369 = [GCF of 1308,8964]/[LCM of 556,369]= 12/205164
Therefore, the GCF of 1308/556,8964/369 is 12/205164.
To find the highest common factor of 1308,8964, we have to find the factors of both numbers and list the highest common factor.
The factors of 1308 are 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308
The factors of 8964 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 83, 108, 166, 249, 332, 498, 747, 996, 1494, 2241, 2988, 4482, 8964
The HCF of 1308,8964 is 12.
Lets's calculate GCF of 1308,8964
| 2 | 1308, 8964 |
| 2 | 654, 4482 |
| 3 | 327, 2241 |
| 109, 747 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1308,8964 By Matching Biggest Common Factor Method
Now, list down the factors of 1308
:1,2,3,4,6,12,109,218,327,436,654,1308
Now, list down the factors of 8964
:1,2,3,4,6,9,12,18,27,36,54,83,108,166,249,332,498,747,996,1494,2241,2988,4482,8964
Greatest Common Factor
We found the factors 1308,8964 . The biggest common factor number is the GCF number.
So the greatest common factor 1308,8964 is 12.
Lets's calculate LCM of 556,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 205164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/205164
Therefore, the GCF of Fractions 1308/556,8964/369 is 12/205164
Least Common Multiple of 556,369 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 556,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(556,369) x common factors =1 x 1 = 1
LCM(556,369) = ( 556 × 369 ) / 1
LCM(556,369) = 205164 / 1
LCM(556,369) = 205164
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FAQs on GCF of Fractions of 1308/556, 8964/369
1. What is the HCF of 1308,8964?
The HCF of 1308,8964 is 12
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 1308/556, 8964/369?
Answer: GCF of Numerators as per given numbers 1308/556, 8964/369 is
GCF of Numerators i.e. for 1308,8964 is 12
LCM of denominators i.e. for 556,369 is 205164.
Thus, GCF of Fractions is 12/205164.Finally, GCF of Fractions for 1308/556, 8964/369 is 12/205164.