Use our free GCF of Fractions Calculator tool to compute the GCF of 7369/452, 3146/850 i.e 1/192100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7369/452, 3146/850.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7369/452,3146/850
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 7369/452,3146/850, numerators are 7369,3146
Denominators are 452,850
The GCF of 7369,3146 is 1 .
LCM of 452,850 is 192100.
The greatest common factor of 7369/452,3146/850 = [GCF of 7369,3146]/[LCM of 452,850]= 1/192100
Therefore, the GCF of 7369/452,3146/850 is 1/192100.
To find the highest common factor of 7369,3146, we have to find the factors of both numbers and list the highest common factor.
The factors of 7369 are 1, 7369
The factors of 3146 are 1, 2, 11, 13, 22, 26, 121, 143, 242, 286, 1573, 3146
The HCF of 7369,3146 is 1.
Lets's calculate GCF of 7369,3146
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7369
:1,7369
Now, list down the factors of 3146
:1,2,11,13,22,26,121,143,242,286,1573,3146
Greatest Common Factor
We found the factors 7369,3146 . The biggest common factor number is the GCF number.
So the greatest common factor 7369,3146 is 1.
Lets's calculate LCM of 452,850
2 | 452, 850 |
226, 425 |
∴ So the LCM of the given numbers is 2 x 226 x 425 = 192100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192100
Therefore, the GCF of Fractions 7369/452,3146/850 is 1/192100
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 452,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,850) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(452,850) x common factors =2 x 1 = 2
LCM(452,850) = ( 452 × 850 ) / 2
LCM(452,850) = 384200 / 2
LCM(452,850) = 192100
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7369,3146?
The HCF of 7369,3146 is 1
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 7369/452, 3146/850?
Answer: GCF of Numerators as per given numbers 7369/452, 3146/850 is
GCF of Numerators i.e. for 7369,3146 is 1
LCM of denominators i.e. for 452,850 is 192100.
Thus, GCF of Fractions is 1/192100.Finally, GCF of Fractions for 7369/452, 3146/850 is 1/192100.