GCF of 9444/417, 1272/876
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9444/417, 1272/876 i.e 12/121764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9444/417, 1272/876.
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 9444/417,1272/876?
Given fractions are 9444/417,1272/876
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 9444/417,1272/876, numerators are 9444,1272
Denominators are 417,876
The GCF of 9444,1272 is 12 .
LCM of 417,876 is 121764.
The greatest common factor of 9444/417,1272/876 = [GCF of 9444,1272]/[LCM of 417,876]= 12/121764
Therefore, the GCF of 9444/417,1272/876 is 12/121764.
To find the highest common factor of 9444,1272, we have to find the factors of both numbers and list the highest common factor.
The factors of 9444 are 1, 2, 3, 4, 6, 12, 787, 1574, 2361, 3148, 4722, 9444
The factors of 1272 are 1, 2, 3, 4, 6, 8, 12, 24, 53, 106, 159, 212, 318, 424, 636, 1272
The HCF of 9444,1272 is 12.
Lets's calculate GCF of 9444,1272
| 2 | 9444, 1272 |
| 2 | 4722, 636 |
| 3 | 2361, 318 |
| 787, 106 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9444,1272 By Matching Biggest Common Factor Method
Now, list down the factors of 9444
:1,2,3,4,6,12,787,1574,2361,3148,4722,9444
Now, list down the factors of 1272
:1,2,3,4,6,8,12,24,53,106,159,212,318,424,636,1272
Greatest Common Factor
We found the factors 9444,1272 . The biggest common factor number is the GCF number.
So the greatest common factor 9444,1272 is 12.
Lets's calculate LCM of 417,876
| 3 | 417, 876 |
| 139, 292 |
∴ So the LCM of the given numbers is 3 x 139 x 292 = 121764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/121764
Therefore, the GCF of Fractions 9444/417,1272/876 is 12/121764
Least Common Multiple of 417,876 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 417,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,876) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,876) x common factors =3 x 1 = 3
LCM(417,876) = ( 417 × 876 ) / 3
LCM(417,876) = 365292 / 3
LCM(417,876) = 121764
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FAQs on GCF of Fractions of 9444/417, 1272/876
1. What is the HCF of 9444,1272?
The HCF of 9444,1272 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 9444/417, 1272/876?
Answer: GCF of Numerators as per given numbers 9444/417, 1272/876 is
GCF of Numerators i.e. for 9444,1272 is 12
LCM of denominators i.e. for 417,876 is 121764.
Thus, GCF of Fractions is 12/121764.Finally, GCF of Fractions for 9444/417, 1272/876 is 12/121764.