GCF of 1893/632, 8712/1239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1893/632, 8712/1239 i.e 3/783048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1893/632, 8712/1239.
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 1893/632,8712/1239?
Given fractions are 1893/632,8712/1239
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 1893/632,8712/1239, numerators are 1893,8712
Denominators are 632,1239
The GCF of 1893,8712 is 3 .
LCM of 632,1239 is 783048.
The greatest common factor of 1893/632,8712/1239 = [GCF of 1893,8712]/[LCM of 632,1239]= 3/783048
Therefore, the GCF of 1893/632,8712/1239 is 3/783048.
To find the highest common factor of 1893,8712, we have to find the factors of both numbers and list the highest common factor.
The factors of 1893 are 1, 3, 631, 1893
The factors of 8712 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1452, 2178, 2904, 4356, 8712
The HCF of 1893,8712 is 3.
Lets's calculate GCF of 1893,8712
| 3 | 1893, 8712 |
| 631, 2904 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1893,8712 By Matching Biggest Common Factor Method
Now, list down the factors of 1893
:1,3,631,1893
Now, list down the factors of 8712
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,121,132,198,242,264,363,396,484,726,792,968,1089,1452,2178,2904,4356,8712
Greatest Common Factor
We found the factors 1893,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 1893,8712 is 3.
Lets's calculate LCM of 632,1239
Given numbers has no common factors except 1. So, there LCM is their product i.e 783048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/783048
Therefore, the GCF of Fractions 1893/632,8712/1239 is 3/783048
Least Common Multiple of 632,1239 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 632,1239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,1239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,1239) x common factors =1 x 1 = 1
LCM(632,1239) = ( 632 × 1239 ) / 1
LCM(632,1239) = 783048 / 1
LCM(632,1239) = 783048
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FAQs on GCF of Fractions of 1893/632, 8712/1239
1. What is the HCF of 1893,8712?
The HCF of 1893,8712 is 3
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 1893/632, 8712/1239?
Answer: GCF of Numerators as per given numbers 1893/632, 8712/1239 is
GCF of Numerators i.e. for 1893,8712 is 3
LCM of denominators i.e. for 632,1239 is 783048.
Thus, GCF of Fractions is 3/783048.Finally, GCF of Fractions for 1893/632, 8712/1239 is 3/783048.