GCF of 8224/127, 9150/9631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8224/127, 9150/9631 i.e 2/1223137 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8224/127, 9150/9631.
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 8224/127,9150/9631?
Given fractions are 8224/127,9150/9631
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 8224/127,9150/9631, numerators are 8224,9150
Denominators are 127,9631
The GCF of 8224,9150 is 2 .
LCM of 127,9631 is 1223137.
The greatest common factor of 8224/127,9150/9631 = [GCF of 8224,9150]/[LCM of 127,9631]= 2/1223137
Therefore, the GCF of 8224/127,9150/9631 is 2/1223137.
To find the highest common factor of 8224,9150, we have to find the factors of both numbers and list the highest common factor.
The factors of 8224 are 1, 2, 4, 8, 16, 32, 257, 514, 1028, 2056, 4112, 8224
The factors of 9150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 61, 75, 122, 150, 183, 305, 366, 610, 915, 1525, 1830, 3050, 4575, 9150
The HCF of 8224,9150 is 2.
Lets's calculate GCF of 8224,9150
| 2 | 8224, 9150 |
| 4112, 4575 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8224,9150 By Matching Biggest Common Factor Method
Now, list down the factors of 8224
:1,2,4,8,16,32,257,514,1028,2056,4112,8224
Now, list down the factors of 9150
:1,2,3,5,6,10,15,25,30,50,61,75,122,150,183,305,366,610,915,1525,1830,3050,4575,9150
Greatest Common Factor
We found the factors 8224,9150 . The biggest common factor number is the GCF number.
So the greatest common factor 8224,9150 is 2.
Lets's calculate LCM of 127,9631
Given numbers has no common factors except 1. So, there LCM is their product i.e 1223137
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1223137
Therefore, the GCF of Fractions 8224/127,9150/9631 is 2/1223137
Least Common Multiple of 127,9631 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 127,9631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,9631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,9631) x common factors =1 x 1 = 1
LCM(127,9631) = ( 127 × 9631 ) / 1
LCM(127,9631) = 1223137 / 1
LCM(127,9631) = 1223137
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FAQs on GCF of Fractions of 8224/127, 9150/9631
1. What is the HCF of 8224,9150?
The HCF of 8224,9150 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 8224/127, 9150/9631?
Answer: GCF of Numerators as per given numbers 8224/127, 9150/9631 is
GCF of Numerators i.e. for 8224,9150 is 2
LCM of denominators i.e. for 127,9631 is 1223137.
Thus, GCF of Fractions is 2/1223137.Finally, GCF of Fractions for 8224/127, 9150/9631 is 2/1223137.