GCF of 9090/679, 4400/4613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9090/679, 4400/4613 i.e 10/447461 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9090/679, 4400/4613.
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 9090/679,4400/4613?
Given fractions are 9090/679,4400/4613
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 9090/679,4400/4613, numerators are 9090,4400
Denominators are 679,4613
The GCF of 9090,4400 is 10 .
LCM of 679,4613 is 447461.
The greatest common factor of 9090/679,4400/4613 = [GCF of 9090,4400]/[LCM of 679,4613]= 10/447461
Therefore, the GCF of 9090/679,4400/4613 is 10/447461.
To find the highest common factor of 9090,4400, we have to find the factors of both numbers and list the highest common factor.
The factors of 9090 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 101, 202, 303, 505, 606, 909, 1010, 1515, 1818, 3030, 4545, 9090
The factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400
The HCF of 9090,4400 is 10.
Lets's calculate GCF of 9090,4400
| 2 | 9090, 4400 |
| 5 | 4545, 2200 |
| 909, 440 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9090,4400 By Matching Biggest Common Factor Method
Now, list down the factors of 9090
:1,2,3,5,6,9,10,15,18,30,45,90,101,202,303,505,606,909,1010,1515,1818,3030,4545,9090
Now, list down the factors of 4400
:1,2,4,5,8,10,11,16,20,22,25,40,44,50,55,80,88,100,110,176,200,220,275,400,440,550,880,1100,2200,4400
Greatest Common Factor
We found the factors 9090,4400 . The biggest common factor number is the GCF number.
So the greatest common factor 9090,4400 is 10.
Lets's calculate LCM of 679,4613
| 7 | 679, 4613 |
| 97, 659 |
∴ So the LCM of the given numbers is 7 x 97 x 659 = 447461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/447461
Therefore, the GCF of Fractions 9090/679,4400/4613 is 10/447461
Least Common Multiple of 679,4613 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 679,4613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,4613) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(679,4613) x common factors =7 x 1 = 7
LCM(679,4613) = ( 679 × 4613 ) / 7
LCM(679,4613) = 3132227 / 7
LCM(679,4613) = 447461
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FAQs on GCF of Fractions of 9090/679, 4400/4613
1. What is the HCF of 9090,4400?
The HCF of 9090,4400 is 10
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 9090/679, 4400/4613?
Answer: GCF of Numerators as per given numbers 9090/679, 4400/4613 is
GCF of Numerators i.e. for 9090,4400 is 10
LCM of denominators i.e. for 679,4613 is 447461.
Thus, GCF of Fractions is 10/447461.Finally, GCF of Fractions for 9090/679, 4400/4613 is 10/447461.