GCF of 9439/622, 2350/7780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9439/622, 2350/7780 i.e 1/2419580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9439/622, 2350/7780.
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 9439/622,2350/7780?
Given fractions are 9439/622,2350/7780
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 9439/622,2350/7780, numerators are 9439,2350
Denominators are 622,7780
The GCF of 9439,2350 is 1 .
LCM of 622,7780 is 2419580.
The greatest common factor of 9439/622,2350/7780 = [GCF of 9439,2350]/[LCM of 622,7780]= 1/2419580
Therefore, the GCF of 9439/622,2350/7780 is 1/2419580.
To find the highest common factor of 9439,2350, we have to find the factors of both numbers and list the highest common factor.
The factors of 9439 are 1, 9439
The factors of 2350 are 1, 2, 5, 10, 25, 47, 50, 94, 235, 470, 1175, 2350
The HCF of 9439,2350 is 1.
Lets's calculate GCF of 9439,2350
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9439,2350 By Matching Biggest Common Factor Method
Now, list down the factors of 9439
:1,9439
Now, list down the factors of 2350
:1,2,5,10,25,47,50,94,235,470,1175,2350
Greatest Common Factor
We found the factors 9439,2350 . The biggest common factor number is the GCF number.
So the greatest common factor 9439,2350 is 1.
Lets's calculate LCM of 622,7780
| 2 | 622, 7780 |
| 311, 3890 |
∴ So the LCM of the given numbers is 2 x 311 x 3890 = 2419580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2419580
Therefore, the GCF of Fractions 9439/622,2350/7780 is 1/2419580
Least Common Multiple of 622,7780 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 622,7780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,7780) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,7780) x common factors =2 x 1 = 2
LCM(622,7780) = ( 622 × 7780 ) / 2
LCM(622,7780) = 4839160 / 2
LCM(622,7780) = 2419580
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9439/622, 2350/7780
1. What is the HCF of 9439,2350?
The HCF of 9439,2350 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 9439/622, 2350/7780?
Answer: GCF of Numerators as per given numbers 9439/622, 2350/7780 is
GCF of Numerators i.e. for 9439,2350 is 1
LCM of denominators i.e. for 622,7780 is 2419580.
Thus, GCF of Fractions is 1/2419580.Finally, GCF of Fractions for 9439/622, 2350/7780 is 1/2419580.