GCF of 1290/705, 9090/3916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1290/705, 9090/3916 i.e 30/2760780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1290/705, 9090/3916.
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 1290/705,9090/3916?
Given fractions are 1290/705,9090/3916
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 1290/705,9090/3916, numerators are 1290,9090
Denominators are 705,3916
The GCF of 1290,9090 is 30 .
LCM of 705,3916 is 2760780.
The greatest common factor of 1290/705,9090/3916 = [GCF of 1290,9090]/[LCM of 705,3916]= 30/2760780
Therefore, the GCF of 1290/705,9090/3916 is 30/2760780.
To find the highest common factor of 1290,9090, we have to find the factors of both numbers and list the highest common factor.
The factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290
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 HCF of 1290,9090 is 30.
Lets's calculate GCF of 1290,9090
| 2 | 1290, 9090 |
| 3 | 645, 4545 |
| 5 | 215, 1515 |
| 43, 303 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 1290,9090 By Matching Biggest Common Factor Method
Now, list down the factors of 1290
:1,2,3,5,6,10,15,30,43,86,129,215,258,430,645,1290
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
Greatest Common Factor
We found the factors 1290,9090 . The biggest common factor number is the GCF number.
So the greatest common factor 1290,9090 is 30.
Lets's calculate LCM of 705,3916
Given numbers has no common factors except 1. So, there LCM is their product i.e 2760780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/2760780
Therefore, the GCF of Fractions 1290/705,9090/3916 is 30/2760780
Least Common Multiple of 705,3916 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 705,3916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,3916) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,3916) x common factors =1 x 1 = 1
LCM(705,3916) = ( 705 × 3916 ) / 1
LCM(705,3916) = 2760780 / 1
LCM(705,3916) = 2760780
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FAQs on GCF of Fractions of 1290/705, 9090/3916
1. What is the HCF of 1290,9090?
The HCF of 1290,9090 is 30
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 1290/705, 9090/3916?
Answer: GCF of Numerators as per given numbers 1290/705, 9090/3916 is
GCF of Numerators i.e. for 1290,9090 is 30
LCM of denominators i.e. for 705,3916 is 2760780.
Thus, GCF of Fractions is 30/2760780.Finally, GCF of Fractions for 1290/705, 9090/3916 is 30/2760780.