GCF of 3890/622, 1514/6941
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3890/622, 1514/6941 i.e 2/4317302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3890/622, 1514/6941.
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 3890/622,1514/6941?
Given fractions are 3890/622,1514/6941
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 3890/622,1514/6941, numerators are 3890,1514
Denominators are 622,6941
The GCF of 3890,1514 is 2 .
LCM of 622,6941 is 4317302.
The greatest common factor of 3890/622,1514/6941 = [GCF of 3890,1514]/[LCM of 622,6941]= 2/4317302
Therefore, the GCF of 3890/622,1514/6941 is 2/4317302.
To find the highest common factor of 3890,1514, we have to find the factors of both numbers and list the highest common factor.
The factors of 3890 are 1, 2, 5, 10, 389, 778, 1945, 3890
The factors of 1514 are 1, 2, 757, 1514
The HCF of 3890,1514 is 2.
Lets's calculate GCF of 3890,1514
| 2 | 3890, 1514 |
| 1945, 757 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3890,1514 By Matching Biggest Common Factor Method
Now, list down the factors of 3890
:1,2,5,10,389,778,1945,3890
Now, list down the factors of 1514
:1,2,757,1514
Greatest Common Factor
We found the factors 3890,1514 . The biggest common factor number is the GCF number.
So the greatest common factor 3890,1514 is 2.
Lets's calculate LCM of 622,6941
Given numbers has no common factors except 1. So, there LCM is their product i.e 4317302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4317302
Therefore, the GCF of Fractions 3890/622,1514/6941 is 2/4317302
Least Common Multiple of 622,6941 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 622,6941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,6941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(622,6941) x common factors =1 x 1 = 1
LCM(622,6941) = ( 622 × 6941 ) / 1
LCM(622,6941) = 4317302 / 1
LCM(622,6941) = 4317302
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3890/622, 1514/6941
1. What is the HCF of 3890,1514?
The HCF of 3890,1514 is 2
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 3890/622, 1514/6941?
Answer: GCF of Numerators as per given numbers 3890/622, 1514/6941 is
GCF of Numerators i.e. for 3890,1514 is 2
LCM of denominators i.e. for 622,6941 is 4317302.
Thus, GCF of Fractions is 2/4317302.Finally, GCF of Fractions for 3890/622, 1514/6941 is 2/4317302.