Use our free GCF of Fractions Calculator tool to compute the GCF of 7370/290, 1972/9147 i.e 2/2652630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7370/290, 1972/9147.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7370/290,1972/9147
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 7370/290,1972/9147, numerators are 7370,1972
Denominators are 290,9147
The GCF of 7370,1972 is 2 .
LCM of 290,9147 is 2652630.
The greatest common factor of 7370/290,1972/9147 = [GCF of 7370,1972]/[LCM of 290,9147]= 2/2652630
Therefore, the GCF of 7370/290,1972/9147 is 2/2652630.
To find the highest common factor of 7370,1972, we have to find the factors of both numbers and list the highest common factor.
The factors of 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370
The factors of 1972 are 1, 2, 4, 17, 29, 34, 58, 68, 116, 493, 986, 1972
The HCF of 7370,1972 is 2.
Lets's calculate GCF of 7370,1972
2 | 7370, 1972 |
3685, 986 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 7370
:1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370
Now, list down the factors of 1972
:1,2,4,17,29,34,58,68,116,493,986,1972
Greatest Common Factor
We found the factors 7370,1972 . The biggest common factor number is the GCF number.
So the greatest common factor 7370,1972 is 2.
Lets's calculate LCM of 290,9147
Given numbers has no common factors except 1. So, there LCM is their product i.e 2652630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2652630
Therefore, the GCF of Fractions 7370/290,1972/9147 is 2/2652630
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 290,9147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,9147) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(290,9147) x common factors =1 x 1 = 1
LCM(290,9147) = ( 290 × 9147 ) / 1
LCM(290,9147) = 2652630 / 1
LCM(290,9147) = 2652630
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7370,1972?
The HCF of 7370,1972 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 7370/290, 1972/9147?
Answer: GCF of Numerators as per given numbers 7370/290, 1972/9147 is
GCF of Numerators i.e. for 7370,1972 is 2
LCM of denominators i.e. for 290,9147 is 2652630.
Thus, GCF of Fractions is 2/2652630.Finally, GCF of Fractions for 7370/290, 1972/9147 is 2/2652630.