GCF of 8712/163, 9514/852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8712/163, 9514/852 i.e 2/138876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8712/163, 9514/852.
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 8712/163,9514/852?
Given fractions are 8712/163,9514/852
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 8712/163,9514/852, numerators are 8712,9514
Denominators are 163,852
The GCF of 8712,9514 is 2 .
LCM of 163,852 is 138876.
The greatest common factor of 8712/163,9514/852 = [GCF of 8712,9514]/[LCM of 163,852]= 2/138876
Therefore, the GCF of 8712/163,9514/852 is 2/138876.
To find the highest common factor of 8712,9514, we have to find the factors of both numbers and list the highest common factor.
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 factors of 9514 are 1, 2, 67, 71, 134, 142, 4757, 9514
The HCF of 8712,9514 is 2.
Lets's calculate GCF of 8712,9514
| 2 | 8712, 9514 |
| 4356, 4757 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8712,9514 By Matching Biggest Common Factor Method
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
Now, list down the factors of 9514
:1,2,67,71,134,142,4757,9514
Greatest Common Factor
We found the factors 8712,9514 . The biggest common factor number is the GCF number.
So the greatest common factor 8712,9514 is 2.
Lets's calculate LCM of 163,852
Given numbers has no common factors except 1. So, there LCM is their product i.e 138876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/138876
Therefore, the GCF of Fractions 8712/163,9514/852 is 2/138876
Least Common Multiple of 163,852 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 163,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,852) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,852) x common factors =1 x 1 = 1
LCM(163,852) = ( 163 × 852 ) / 1
LCM(163,852) = 138876 / 1
LCM(163,852) = 138876
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FAQs on GCF of Fractions of 8712/163, 9514/852
1. What is the HCF of 8712,9514?
The HCF of 8712,9514 is 2
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 8712/163, 9514/852?
Answer: GCF of Numerators as per given numbers 8712/163, 9514/852 is
GCF of Numerators i.e. for 8712,9514 is 2
LCM of denominators i.e. for 163,852 is 138876.
Thus, GCF of Fractions is 2/138876.Finally, GCF of Fractions for 8712/163, 9514/852 is 2/138876.