Use our free GCF of Fractions Calculator tool to compute the GCF of 970/334, 360/426 i.e 10/71142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 970/334, 360/426.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 970/334,360/426
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 970/334,360/426, numerators are 970,360
Denominators are 334,426
The GCF of 970,360 is 10 .
LCM of 334,426 is 71142.
The greatest common factor of 970/334,360/426 = [GCF of 970,360]/[LCM of 334,426]= 10/71142
Therefore, the GCF of 970/334,360/426 is 10/71142.
To find the highest common factor of 970,360, we have to find the factors of both numbers and list the highest common factor.
The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The HCF of 970,360 is 10.
Lets's calculate GCF of 970,360
2 | 970, 360 |
5 | 485, 180 |
97, 36 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 970
:1,2,5,10,97,194,485,970
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 970,360 . The biggest common factor number is the GCF number.
So the greatest common factor 970,360 is 10.
Lets's calculate LCM of 334,426
2 | 334, 426 |
167, 213 |
∴ So the LCM of the given numbers is 2 x 167 x 213 = 71142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/71142
Therefore, the GCF of Fractions 970/334,360/426 is 10/71142
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 334,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,426) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,426) x common factors =2 x 1 = 2
LCM(334,426) = ( 334 × 426 ) / 2
LCM(334,426) = 142284 / 2
LCM(334,426) = 71142
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 970,360?
The HCF of 970,360 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 970/334, 360/426?
Answer: GCF of Numerators as per given numbers 970/334, 360/426 is
GCF of Numerators i.e. for 970,360 is 10
LCM of denominators i.e. for 334,426 is 71142.
Thus, GCF of Fractions is 10/71142.Finally, GCF of Fractions for 970/334, 360/426 is 10/71142.