Use our free GCF of Fractions Calculator tool to compute the GCF of 3970/147, 5314/3950 i.e 2/580650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3970/147, 5314/3950.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3970/147,5314/3950
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 3970/147,5314/3950, numerators are 3970,5314
Denominators are 147,3950
The GCF of 3970,5314 is 2 .
LCM of 147,3950 is 580650.
The greatest common factor of 3970/147,5314/3950 = [GCF of 3970,5314]/[LCM of 147,3950]= 2/580650
Therefore, the GCF of 3970/147,5314/3950 is 2/580650.
To find the highest common factor of 3970,5314, we have to find the factors of both numbers and list the highest common factor.
The factors of 3970 are 1, 2, 5, 10, 397, 794, 1985, 3970
The factors of 5314 are 1, 2, 2657, 5314
The HCF of 3970,5314 is 2.
Lets's calculate GCF of 3970,5314
2 | 3970, 5314 |
1985, 2657 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 3970
:1,2,5,10,397,794,1985,3970
Now, list down the factors of 5314
:1,2,2657,5314
Greatest Common Factor
We found the factors 3970,5314 . The biggest common factor number is the GCF number.
So the greatest common factor 3970,5314 is 2.
Lets's calculate LCM of 147,3950
Given numbers has no common factors except 1. So, there LCM is their product i.e 580650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/580650
Therefore, the GCF of Fractions 3970/147,5314/3950 is 2/580650
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 147,3950 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,3950) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(147,3950) x common factors =1 x 1 = 1
LCM(147,3950) = ( 147 × 3950 ) / 1
LCM(147,3950) = 580650 / 1
LCM(147,3950) = 580650
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3970,5314?
The HCF of 3970,5314 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 3970/147, 5314/3950?
Answer: GCF of Numerators as per given numbers 3970/147, 5314/3950 is
GCF of Numerators i.e. for 3970,5314 is 2
LCM of denominators i.e. for 147,3950 is 580650.
Thus, GCF of Fractions is 2/580650.Finally, GCF of Fractions for 3970/147, 5314/3950 is 2/580650.