GCF of 8232/126, 9616/6505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8232/126, 9616/6505 i.e 8/819630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8232/126, 9616/6505.
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 8232/126,9616/6505?
Given fractions are 8232/126,9616/6505
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 8232/126,9616/6505, numerators are 8232,9616
Denominators are 126,6505
The GCF of 8232,9616 is 8 .
LCM of 126,6505 is 819630.
The greatest common factor of 8232/126,9616/6505 = [GCF of 8232,9616]/[LCM of 126,6505]= 8/819630
Therefore, the GCF of 8232/126,9616/6505 is 8/819630.
To find the highest common factor of 8232,9616, we have to find the factors of both numbers and list the highest common factor.
The factors of 8232 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232
The factors of 9616 are 1, 2, 4, 8, 16, 601, 1202, 2404, 4808, 9616
The HCF of 8232,9616 is 8.
Lets's calculate GCF of 8232,9616
| 2 | 8232, 9616 |
| 2 | 4116, 4808 |
| 2 | 2058, 2404 |
| 1029, 1202 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8232,9616 By Matching Biggest Common Factor Method
Now, list down the factors of 8232
:1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,343,392,588,686,1029,1176,1372,2058,2744,4116,8232
Now, list down the factors of 9616
:1,2,4,8,16,601,1202,2404,4808,9616
Greatest Common Factor
We found the factors 8232,9616 . The biggest common factor number is the GCF number.
So the greatest common factor 8232,9616 is 8.
Lets's calculate LCM of 126,6505
Given numbers has no common factors except 1. So, there LCM is their product i.e 819630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/819630
Therefore, the GCF of Fractions 8232/126,9616/6505 is 8/819630
Least Common Multiple of 126,6505 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 126,6505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,6505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(126,6505) x common factors =1 x 1 = 1
LCM(126,6505) = ( 126 × 6505 ) / 1
LCM(126,6505) = 819630 / 1
LCM(126,6505) = 819630
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FAQs on GCF of Fractions of 8232/126, 9616/6505
1. What is the HCF of 8232,9616?
The HCF of 8232,9616 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 8232/126, 9616/6505?
Answer: GCF of Numerators as per given numbers 8232/126, 9616/6505 is
GCF of Numerators i.e. for 8232,9616 is 8
LCM of denominators i.e. for 126,6505 is 819630.
Thus, GCF of Fractions is 8/819630.Finally, GCF of Fractions for 8232/126, 9616/6505 is 8/819630.