GCF of 632/578, 8712/133
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 632/578, 8712/133 i.e 8/76874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 632/578, 8712/133.
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 632/578,8712/133?
Given fractions are 632/578,8712/133
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 632/578,8712/133, numerators are 632,8712
Denominators are 578,133
The GCF of 632,8712 is 8 .
LCM of 578,133 is 76874.
The greatest common factor of 632/578,8712/133 = [GCF of 632,8712]/[LCM of 578,133]= 8/76874
Therefore, the GCF of 632/578,8712/133 is 8/76874.
To find the highest common factor of 632,8712, we have to find the factors of both numbers and list the highest common factor.
The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632
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 632,8712 is 8.
Lets's calculate GCF of 632,8712
| 2 | 632, 8712 |
| 2 | 316, 4356 |
| 2 | 158, 2178 |
| 79, 1089 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 632,8712 By Matching Biggest Common Factor Method
Now, list down the factors of 632
:1,2,4,8,79,158,316,632
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 632,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 632,8712 is 8.
Lets's calculate LCM of 578,133
Given numbers has no common factors except 1. So, there LCM is their product i.e 76874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/76874
Therefore, the GCF of Fractions 632/578,8712/133 is 8/76874
Least Common Multiple of 578,133 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 578,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(578,133) x common factors =1 x 1 = 1
LCM(578,133) = ( 578 × 133 ) / 1
LCM(578,133) = 76874 / 1
LCM(578,133) = 76874
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FAQs on GCF of Fractions of 632/578, 8712/133
1. What is the HCF of 632,8712?
The HCF of 632,8712 is 8
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 632/578, 8712/133?
Answer: GCF of Numerators as per given numbers 632/578, 8712/133 is
GCF of Numerators i.e. for 632,8712 is 8
LCM of denominators i.e. for 578,133 is 76874.
Thus, GCF of Fractions is 8/76874.Finally, GCF of Fractions for 632/578, 8712/133 is 8/76874.