Use our free GCF of Fractions Calculator tool to compute the GCF of 2212/452, 1582/7211 i.e 14/3259372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2212/452, 1582/7211.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2212/452,1582/7211
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 2212/452,1582/7211, numerators are 2212,1582
Denominators are 452,7211
The GCF of 2212,1582 is 14 .
LCM of 452,7211 is 3259372.
The greatest common factor of 2212/452,1582/7211 = [GCF of 2212,1582]/[LCM of 452,7211]= 14/3259372
Therefore, the GCF of 2212/452,1582/7211 is 14/3259372.
To find the highest common factor of 2212,1582, we have to find the factors of both numbers and list the highest common factor.
The factors of 2212 are 1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106, 2212
The factors of 1582 are 1, 2, 7, 14, 113, 226, 791, 1582
The HCF of 2212,1582 is 14.
Lets's calculate GCF of 2212,1582
2 | 2212, 1582 |
7 | 1106, 791 |
158, 113 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Now, list down the factors of 2212
:1,2,4,7,14,28,79,158,316,553,1106,2212
Now, list down the factors of 1582
:1,2,7,14,113,226,791,1582
Greatest Common Factor
We found the factors 2212,1582 . The biggest common factor number is the GCF number.
So the greatest common factor 2212,1582 is 14.
Lets's calculate LCM of 452,7211
Given numbers has no common factors except 1. So, there LCM is their product i.e 3259372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3259372
Therefore, the GCF of Fractions 2212/452,1582/7211 is 14/3259372
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 452,7211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,7211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(452,7211) x common factors =1 x 1 = 1
LCM(452,7211) = ( 452 × 7211 ) / 1
LCM(452,7211) = 3259372 / 1
LCM(452,7211) = 3259372
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2212,1582?
The HCF of 2212,1582 is 14
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 2212/452, 1582/7211?
Answer: GCF of Numerators as per given numbers 2212/452, 1582/7211 is
GCF of Numerators i.e. for 2212,1582 is 14
LCM of denominators i.e. for 452,7211 is 3259372.
Thus, GCF of Fractions is 14/3259372.Finally, GCF of Fractions for 2212/452, 1582/7211 is 14/3259372.