GCF of 1950/307, 3970/9814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1950/307, 3970/9814 i.e 10/3012898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1950/307, 3970/9814.
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 1950/307,3970/9814?
Given fractions are 1950/307,3970/9814
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 1950/307,3970/9814, numerators are 1950,3970
Denominators are 307,9814
The GCF of 1950,3970 is 10 .
LCM of 307,9814 is 3012898.
The greatest common factor of 1950/307,3970/9814 = [GCF of 1950,3970]/[LCM of 307,9814]= 10/3012898
Therefore, the GCF of 1950/307,3970/9814 is 10/3012898.
To find the highest common factor of 1950,3970, we have to find the factors of both numbers and list the highest common factor.
The factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950
The factors of 3970 are 1, 2, 5, 10, 397, 794, 1985, 3970
The HCF of 1950,3970 is 10.
Lets's calculate GCF of 1950,3970
| 2 | 1950, 3970 |
| 5 | 975, 1985 |
| 195, 397 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1950,3970 By Matching Biggest Common Factor Method
Now, list down the factors of 1950
:1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950
Now, list down the factors of 3970
:1,2,5,10,397,794,1985,3970
Greatest Common Factor
We found the factors 1950,3970 . The biggest common factor number is the GCF number.
So the greatest common factor 1950,3970 is 10.
Lets's calculate LCM of 307,9814
Given numbers has no common factors except 1. So, there LCM is their product i.e 3012898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3012898
Therefore, the GCF of Fractions 1950/307,3970/9814 is 10/3012898
Least Common Multiple of 307,9814 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 307,9814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,9814) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,9814) x common factors =1 x 1 = 1
LCM(307,9814) = ( 307 × 9814 ) / 1
LCM(307,9814) = 3012898 / 1
LCM(307,9814) = 3012898
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FAQs on GCF of Fractions of 1950/307, 3970/9814
1. What is the HCF of 1950,3970?
The HCF of 1950,3970 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 1950/307, 3970/9814?
Answer: GCF of Numerators as per given numbers 1950/307, 3970/9814 is
GCF of Numerators i.e. for 1950,3970 is 10
LCM of denominators i.e. for 307,9814 is 3012898.
Thus, GCF of Fractions is 10/3012898.Finally, GCF of Fractions for 1950/307, 3970/9814 is 10/3012898.