Use our free GCF of Fractions Calculator tool to compute the GCF of 7068/403, 2970/5600 i.e 6/2256800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7068/403, 2970/5600.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7068/403,2970/5600
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 7068/403,2970/5600, numerators are 7068,2970
Denominators are 403,5600
The GCF of 7068,2970 is 6 .
LCM of 403,5600 is 2256800.
The greatest common factor of 7068/403,2970/5600 = [GCF of 7068,2970]/[LCM of 403,5600]= 6/2256800
Therefore, the GCF of 7068/403,2970/5600 is 6/2256800.
To find the highest common factor of 7068,2970, we have to find the factors of both numbers and list the highest common factor.
The factors of 7068 are 1, 2, 3, 4, 6, 12, 19, 31, 38, 57, 62, 76, 93, 114, 124, 186, 228, 372, 589, 1178, 1767, 2356, 3534, 7068
The factors of 2970 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970
The HCF of 7068,2970 is 6.
Lets's calculate GCF of 7068,2970
2 | 7068, 2970 |
3 | 3534, 1485 |
1178, 495 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 7068
:1,2,3,4,6,12,19,31,38,57,62,76,93,114,124,186,228,372,589,1178,1767,2356,3534,7068
Now, list down the factors of 2970
:1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970
Greatest Common Factor
We found the factors 7068,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 7068,2970 is 6.
Lets's calculate LCM of 403,5600
Given numbers has no common factors except 1. So, there LCM is their product i.e 2256800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2256800
Therefore, the GCF of Fractions 7068/403,2970/5600 is 6/2256800
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 403,5600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,5600) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,5600) x common factors =1 x 1 = 1
LCM(403,5600) = ( 403 × 5600 ) / 1
LCM(403,5600) = 2256800 / 1
LCM(403,5600) = 2256800
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7068,2970?
The HCF of 7068,2970 is 6
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 7068/403, 2970/5600?
Answer: GCF of Numerators as per given numbers 7068/403, 2970/5600 is
GCF of Numerators i.e. for 7068,2970 is 6
LCM of denominators i.e. for 403,5600 is 2256800.
Thus, GCF of Fractions is 6/2256800.Finally, GCF of Fractions for 7068/403, 2970/5600 is 6/2256800.