GCF of 9180/290, 6208/5114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9180/290, 6208/5114 i.e 4/741530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9180/290, 6208/5114.
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 9180/290,6208/5114?
Given fractions are 9180/290,6208/5114
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 9180/290,6208/5114, numerators are 9180,6208
Denominators are 290,5114
The GCF of 9180,6208 is 4 .
LCM of 290,5114 is 741530.
The greatest common factor of 9180/290,6208/5114 = [GCF of 9180,6208]/[LCM of 290,5114]= 4/741530
Therefore, the GCF of 9180/290,6208/5114 is 4/741530.
To find the highest common factor of 9180,6208, 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 6208 are 1, 2, 4, 8, 16, 32, 64, 97, 194, 388, 776, 1552, 3104, 6208
The HCF of 9180,6208 is 4.
Lets's calculate GCF of 9180,6208
| 2 | 9180, 6208 |
| 2 | 4590, 3104 |
| 2295, 1552 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9180,6208 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 6208
:1,2,4,8,16,32,64,97,194,388,776,1552,3104,6208
Greatest Common Factor
We found the factors 9180,6208 . The biggest common factor number is the GCF number.
So the greatest common factor 9180,6208 is 4.
Lets's calculate LCM of 290,5114
| 2 | 290, 5114 |
| 145, 2557 |
∴ So the LCM of the given numbers is 2 x 145 x 2557 = 741530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/741530
Therefore, the GCF of Fractions 9180/290,6208/5114 is 4/741530
Least Common Multiple of 290,5114 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 290,5114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,5114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,5114) x common factors =2 x 1 = 2
LCM(290,5114) = ( 290 × 5114 ) / 2
LCM(290,5114) = 1483060 / 2
LCM(290,5114) = 741530
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FAQs on GCF of Fractions of 9180/290, 6208/5114
1. What is the HCF of 9180,6208?
The HCF of 9180,6208 is 4
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 9180/290, 6208/5114?
Answer: GCF of Numerators as per given numbers 9180/290, 6208/5114 is
GCF of Numerators i.e. for 9180,6208 is 4
LCM of denominators i.e. for 290,5114 is 741530.
Thus, GCF of Fractions is 4/741530.Finally, GCF of Fractions for 9180/290, 6208/5114 is 4/741530.