GCF of 1272/310, 9372/2466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1272/310, 9372/2466 i.e 12/382230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1272/310, 9372/2466.
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 1272/310,9372/2466?
Given fractions are 1272/310,9372/2466
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 1272/310,9372/2466, numerators are 1272,9372
Denominators are 310,2466
The GCF of 1272,9372 is 12 .
LCM of 310,2466 is 382230.
The greatest common factor of 1272/310,9372/2466 = [GCF of 1272,9372]/[LCM of 310,2466]= 12/382230
Therefore, the GCF of 1272/310,9372/2466 is 12/382230.
To find the highest common factor of 1272,9372, we have to find the factors of both numbers and list the highest common factor.
The factors of 1272 are 1, 2, 3, 4, 6, 8, 12, 24, 53, 106, 159, 212, 318, 424, 636, 1272
The factors of 9372 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 71, 132, 142, 213, 284, 426, 781, 852, 1562, 2343, 3124, 4686, 9372
The HCF of 1272,9372 is 12.
Lets's calculate GCF of 1272,9372
| 2 | 1272, 9372 |
| 2 | 636, 4686 |
| 3 | 318, 2343 |
| 106, 781 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1272,9372 By Matching Biggest Common Factor Method
Now, list down the factors of 1272
:1,2,3,4,6,8,12,24,53,106,159,212,318,424,636,1272
Now, list down the factors of 9372
:1,2,3,4,6,11,12,22,33,44,66,71,132,142,213,284,426,781,852,1562,2343,3124,4686,9372
Greatest Common Factor
We found the factors 1272,9372 . The biggest common factor number is the GCF number.
So the greatest common factor 1272,9372 is 12.
Lets's calculate LCM of 310,2466
| 2 | 310, 2466 |
| 155, 1233 |
∴ So the LCM of the given numbers is 2 x 155 x 1233 = 382230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/382230
Therefore, the GCF of Fractions 1272/310,9372/2466 is 12/382230
Least Common Multiple of 310,2466 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 310,2466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,2466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(310,2466) x common factors =2 x 1 = 2
LCM(310,2466) = ( 310 × 2466 ) / 2
LCM(310,2466) = 764460 / 2
LCM(310,2466) = 382230
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FAQs on GCF of Fractions of 1272/310, 9372/2466
1. What is the HCF of 1272,9372?
The HCF of 1272,9372 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 1272/310, 9372/2466?
Answer: GCF of Numerators as per given numbers 1272/310, 9372/2466 is
GCF of Numerators i.e. for 1272,9372 is 12
LCM of denominators i.e. for 310,2466 is 382230.
Thus, GCF of Fractions is 12/382230.Finally, GCF of Fractions for 1272/310, 9372/2466 is 12/382230.