GCF of 6340/989, 4050/4250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6340/989, 4050/4250 i.e 10/4203250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6340/989, 4050/4250.
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 6340/989,4050/4250?
Given fractions are 6340/989,4050/4250
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 6340/989,4050/4250, numerators are 6340,4050
Denominators are 989,4250
The GCF of 6340,4050 is 10 .
LCM of 989,4250 is 4203250.
The greatest common factor of 6340/989,4050/4250 = [GCF of 6340,4050]/[LCM of 989,4250]= 10/4203250
Therefore, the GCF of 6340/989,4050/4250 is 10/4203250.
To find the highest common factor of 6340,4050, we have to find the factors of both numbers and list the highest common factor.
The factors of 6340 are 1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340
The factors of 4050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050
The HCF of 6340,4050 is 10.
Lets's calculate GCF of 6340,4050
| 2 | 6340, 4050 |
| 5 | 3170, 2025 |
| 634, 405 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6340,4050 By Matching Biggest Common Factor Method
Now, list down the factors of 6340
:1,2,4,5,10,20,317,634,1268,1585,3170,6340
Now, list down the factors of 4050
:1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,81,90,135,150,162,225,270,405,450,675,810,1350,2025,4050
Greatest Common Factor
We found the factors 6340,4050 . The biggest common factor number is the GCF number.
So the greatest common factor 6340,4050 is 10.
Lets's calculate LCM of 989,4250
Given numbers has no common factors except 1. So, there LCM is their product i.e 4203250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4203250
Therefore, the GCF of Fractions 6340/989,4050/4250 is 10/4203250
Least Common Multiple of 989,4250 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 989,4250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,4250) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,4250) x common factors =1 x 1 = 1
LCM(989,4250) = ( 989 × 4250 ) / 1
LCM(989,4250) = 4203250 / 1
LCM(989,4250) = 4203250
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6340/989, 4050/4250
1. What is the HCF of 6340,4050?
The HCF of 6340,4050 is 10
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 6340/989, 4050/4250?
Answer: GCF of Numerators as per given numbers 6340/989, 4050/4250 is
GCF of Numerators i.e. for 6340,4050 is 10
LCM of denominators i.e. for 989,4250 is 4203250.
Thus, GCF of Fractions is 10/4203250.Finally, GCF of Fractions for 6340/989, 4050/4250 is 10/4203250.