GCF of 1254/372, 3852/9032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1254/372, 3852/9032 i.e 6/839976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1254/372, 3852/9032.
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 1254/372,3852/9032?
Given fractions are 1254/372,3852/9032
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 1254/372,3852/9032, numerators are 1254,3852
Denominators are 372,9032
The GCF of 1254,3852 is 6 .
LCM of 372,9032 is 839976.
The greatest common factor of 1254/372,3852/9032 = [GCF of 1254,3852]/[LCM of 372,9032]= 6/839976
Therefore, the GCF of 1254/372,3852/9032 is 6/839976.
To find the highest common factor of 1254,3852, we have to find the factors of both numbers and list the highest common factor.
The factors of 1254 are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254
The factors of 3852 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926, 3852
The HCF of 1254,3852 is 6.
Lets's calculate GCF of 1254,3852
| 2 | 1254, 3852 |
| 3 | 627, 1926 |
| 209, 642 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1254,3852 By Matching Biggest Common Factor Method
Now, list down the factors of 1254
:1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254
Now, list down the factors of 3852
:1,2,3,4,6,9,12,18,36,107,214,321,428,642,963,1284,1926,3852
Greatest Common Factor
We found the factors 1254,3852 . The biggest common factor number is the GCF number.
So the greatest common factor 1254,3852 is 6.
Lets's calculate LCM of 372,9032
| 2 | 372, 9032 |
| 2 | 186, 4516 |
| 93, 2258 |
∴ So the LCM of the given numbers is 2 x 2 x 93 x 2258 = 839976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/839976
Therefore, the GCF of Fractions 1254/372,3852/9032 is 6/839976
Least Common Multiple of 372,9032 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 372,9032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,9032) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(372,9032) x common factors =4 x 1 = 4
LCM(372,9032) = ( 372 × 9032 ) / 4
LCM(372,9032) = 3359904 / 4
LCM(372,9032) = 839976
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FAQs on GCF of Fractions of 1254/372, 3852/9032
1. What is the HCF of 1254,3852?
The HCF of 1254,3852 is 6
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 1254/372, 3852/9032?
Answer: GCF of Numerators as per given numbers 1254/372, 3852/9032 is
GCF of Numerators i.e. for 1254,3852 is 6
LCM of denominators i.e. for 372,9032 is 839976.
Thus, GCF of Fractions is 6/839976.Finally, GCF of Fractions for 1254/372, 3852/9032 is 6/839976.