GCF of 9120/114, 2213/3515
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9120/114, 2213/3515 i.e 1/21090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9120/114, 2213/3515.
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 9120/114,2213/3515?
Given fractions are 9120/114,2213/3515
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 9120/114,2213/3515, numerators are 9120,2213
Denominators are 114,3515
The GCF of 9120,2213 is 1 .
LCM of 114,3515 is 21090.
The greatest common factor of 9120/114,2213/3515 = [GCF of 9120,2213]/[LCM of 114,3515]= 1/21090
Therefore, the GCF of 9120/114,2213/3515 is 1/21090.
To find the highest common factor of 9120,2213, we have to find the factors of both numbers and list the highest common factor.
The factors of 9120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560, 9120
The factors of 2213 are 1, 2213
The HCF of 9120,2213 is 1.
Lets's calculate GCF of 9120,2213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9120,2213 By Matching Biggest Common Factor Method
Now, list down the factors of 9120
:1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,32,38,40,48,57,60,76,80,95,96,114,120,152,160,190,228,240,285,304,380,456,480,570,608,760,912,1140,1520,1824,2280,3040,4560,9120
Now, list down the factors of 2213
:1,2213
Greatest Common Factor
We found the factors 9120,2213 . The biggest common factor number is the GCF number.
So the greatest common factor 9120,2213 is 1.
Lets's calculate LCM of 114,3515
| 19 | 114, 3515 |
| 6, 185 |
∴ So the LCM of the given numbers is 19 x 6 x 185 = 21090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21090
Therefore, the GCF of Fractions 9120/114,2213/3515 is 1/21090
Least Common Multiple of 114,3515 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 114,3515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,3515) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(114,3515) x common factors =19 x 1 = 19
LCM(114,3515) = ( 114 × 3515 ) / 19
LCM(114,3515) = 400710 / 19
LCM(114,3515) = 21090
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FAQs on GCF of Fractions of 9120/114, 2213/3515
1. What is the HCF of 9120,2213?
The HCF of 9120,2213 is 1
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 9120/114, 2213/3515?
Answer: GCF of Numerators as per given numbers 9120/114, 2213/3515 is
GCF of Numerators i.e. for 9120,2213 is 1
LCM of denominators i.e. for 114,3515 is 21090.
Thus, GCF of Fractions is 1/21090.Finally, GCF of Fractions for 9120/114, 2213/3515 is 1/21090.