GCF of 8964/142, 8772/3542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8964/142, 8772/3542 i.e 12/251482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8964/142, 8772/3542.
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 8964/142,8772/3542?
Given fractions are 8964/142,8772/3542
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 8964/142,8772/3542, numerators are 8964,8772
Denominators are 142,3542
The GCF of 8964,8772 is 12 .
LCM of 142,3542 is 251482.
The greatest common factor of 8964/142,8772/3542 = [GCF of 8964,8772]/[LCM of 142,3542]= 12/251482
Therefore, the GCF of 8964/142,8772/3542 is 12/251482.
To find the highest common factor of 8964,8772, we have to find the factors of both numbers and list the highest common factor.
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 factors of 8772 are 1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386, 8772
The HCF of 8964,8772 is 12.
Lets's calculate GCF of 8964,8772
| 2 | 8964, 8772 |
| 2 | 4482, 4386 |
| 3 | 2241, 2193 |
| 747, 731 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8964,8772 By Matching Biggest Common Factor Method
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
Now, list down the factors of 8772
:1,2,3,4,6,12,17,34,43,51,68,86,102,129,172,204,258,516,731,1462,2193,2924,4386,8772
Greatest Common Factor
We found the factors 8964,8772 . The biggest common factor number is the GCF number.
So the greatest common factor 8964,8772 is 12.
Lets's calculate LCM of 142,3542
| 2 | 142, 3542 |
| 71, 1771 |
∴ So the LCM of the given numbers is 2 x 71 x 1771 = 251482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/251482
Therefore, the GCF of Fractions 8964/142,8772/3542 is 12/251482
Least Common Multiple of 142,3542 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 142,3542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,3542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,3542) x common factors =2 x 1 = 2
LCM(142,3542) = ( 142 × 3542 ) / 2
LCM(142,3542) = 502964 / 2
LCM(142,3542) = 251482
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FAQs on GCF of Fractions of 8964/142, 8772/3542
1. What is the HCF of 8964,8772?
The HCF of 8964,8772 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 8964/142, 8772/3542?
Answer: GCF of Numerators as per given numbers 8964/142, 8772/3542 is
GCF of Numerators i.e. for 8964,8772 is 12
LCM of denominators i.e. for 142,3542 is 251482.
Thus, GCF of Fractions is 12/251482.Finally, GCF of Fractions for 8964/142, 8772/3542 is 12/251482.