GCF of 3090/834, 9427/2780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3090/834, 9427/2780 i.e 1/8340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3090/834, 9427/2780.
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 3090/834,9427/2780?
Given fractions are 3090/834,9427/2780
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 3090/834,9427/2780, numerators are 3090,9427
Denominators are 834,2780
The GCF of 3090,9427 is 1 .
LCM of 834,2780 is 8340.
The greatest common factor of 3090/834,9427/2780 = [GCF of 3090,9427]/[LCM of 834,2780]= 1/8340
Therefore, the GCF of 3090/834,9427/2780 is 1/8340.
To find the highest common factor of 3090,9427, we have to find the factors of both numbers and list the highest common factor.
The factors of 3090 are 1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545, 3090
The factors of 9427 are 1, 11, 857, 9427
The HCF of 3090,9427 is 1.
Lets's calculate GCF of 3090,9427
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3090,9427 By Matching Biggest Common Factor Method
Now, list down the factors of 3090
:1,2,3,5,6,10,15,30,103,206,309,515,618,1030,1545,3090
Now, list down the factors of 9427
:1,11,857,9427
Greatest Common Factor
We found the factors 3090,9427 . The biggest common factor number is the GCF number.
So the greatest common factor 3090,9427 is 1.
Lets's calculate LCM of 834,2780
| 2 | 834, 2780 |
| 139 | 417, 1390 |
| 3, 10 |
∴ So the LCM of the given numbers is 2 x 139 x 3 x 10 = 8340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8340
Therefore, the GCF of Fractions 3090/834,9427/2780 is 1/8340
Least Common Multiple of 834,2780 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 834,2780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,2780) = 278
common factors(in case of two or more numbers have common factors) = 1
GCF(834,2780) x common factors =278 x 1 = 278
LCM(834,2780) = ( 834 × 2780 ) / 278
LCM(834,2780) = 2318520 / 278
LCM(834,2780) = 8340
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FAQs on GCF of Fractions of 3090/834, 9427/2780
1. What is the HCF of 3090,9427?
The HCF of 3090,9427 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 3090/834, 9427/2780?
Answer: GCF of Numerators as per given numbers 3090/834, 9427/2780 is
GCF of Numerators i.e. for 3090,9427 is 1
LCM of denominators i.e. for 834,2780 is 8340.
Thus, GCF of Fractions is 1/8340.Finally, GCF of Fractions for 3090/834, 9427/2780 is 1/8340.