GCF of 9180/398, 7120/9090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9180/398, 7120/9090 i.e 20/1808910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9180/398, 7120/9090.
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 9180/398,7120/9090?
Given fractions are 9180/398,7120/9090
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 9180/398,7120/9090, numerators are 9180,7120
Denominators are 398,9090
The GCF of 9180,7120 is 20 .
LCM of 398,9090 is 1808910.
The greatest common factor of 9180/398,7120/9090 = [GCF of 9180,7120]/[LCM of 398,9090]= 20/1808910
Therefore, the GCF of 9180/398,7120/9090 is 20/1808910.
To find the highest common factor of 9180,7120, we have to find the factors of both numbers and list the highest common factor.
The factors of 9180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 85, 90, 102, 108, 135, 153, 170, 180, 204, 255, 270, 306, 340, 459, 510, 540, 612, 765, 918, 1020, 1530, 1836, 2295, 3060, 4590, 9180
The factors of 7120 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120
The HCF of 9180,7120 is 20.
Lets's calculate GCF of 9180,7120
| 2 | 9180, 7120 |
| 2 | 4590, 3560 |
| 5 | 2295, 1780 |
| 459, 356 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 9180,7120 By Matching Biggest Common Factor Method
Now, list down the factors of 9180
:1,2,3,4,5,6,9,10,12,15,17,18,20,27,30,34,36,45,51,54,60,68,85,90,102,108,135,153,170,180,204,255,270,306,340,459,510,540,612,765,918,1020,1530,1836,2295,3060,4590,9180
Now, list down the factors of 7120
:1,2,4,5,8,10,16,20,40,80,89,178,356,445,712,890,1424,1780,3560,7120
Greatest Common Factor
We found the factors 9180,7120 . The biggest common factor number is the GCF number.
So the greatest common factor 9180,7120 is 20.
Lets's calculate LCM of 398,9090
| 2 | 398, 9090 |
| 199, 4545 |
∴ So the LCM of the given numbers is 2 x 199 x 4545 = 1808910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1808910
Therefore, the GCF of Fractions 9180/398,7120/9090 is 20/1808910
Least Common Multiple of 398,9090 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 398,9090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,9090) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,9090) x common factors =2 x 1 = 2
LCM(398,9090) = ( 398 × 9090 ) / 2
LCM(398,9090) = 3617820 / 2
LCM(398,9090) = 1808910
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9180/398, 7120/9090
1. What is the HCF of 9180,7120?
The HCF of 9180,7120 is 20
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 9180/398, 7120/9090?
Answer: GCF of Numerators as per given numbers 9180/398, 7120/9090 is
GCF of Numerators i.e. for 9180,7120 is 20
LCM of denominators i.e. for 398,9090 is 1808910.
Thus, GCF of Fractions is 20/1808910.Finally, GCF of Fractions for 9180/398, 7120/9090 is 20/1808910.