Use our free GCF of Fractions Calculator tool to compute the GCF of 2572/359, 7445/3625 i.e 1/1301375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2572/359, 7445/3625.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2572/359,7445/3625
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 2572/359,7445/3625, numerators are 2572,7445
Denominators are 359,3625
The GCF of 2572,7445 is 1 .
LCM of 359,3625 is 1301375.
The greatest common factor of 2572/359,7445/3625 = [GCF of 2572,7445]/[LCM of 359,3625]= 1/1301375
Therefore, the GCF of 2572/359,7445/3625 is 1/1301375.
To find the highest common factor of 2572,7445, we have to find the factors of both numbers and list the highest common factor.
The factors of 2572 are 1, 2, 4, 643, 1286, 2572
The factors of 7445 are 1, 5, 1489, 7445
The HCF of 2572,7445 is 1.
Lets's calculate GCF of 2572,7445
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2572
:1,2,4,643,1286,2572
Now, list down the factors of 7445
:1,5,1489,7445
Greatest Common Factor
We found the factors 2572,7445 . The biggest common factor number is the GCF number.
So the greatest common factor 2572,7445 is 1.
Lets's calculate LCM of 359,3625
Given numbers has no common factors except 1. So, there LCM is their product i.e 1301375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1301375
Therefore, the GCF of Fractions 2572/359,7445/3625 is 1/1301375
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 359,3625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,3625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,3625) x common factors =1 x 1 = 1
LCM(359,3625) = ( 359 × 3625 ) / 1
LCM(359,3625) = 1301375 / 1
LCM(359,3625) = 1301375
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2572,7445?
The HCF of 2572,7445 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 2572/359, 7445/3625?
Answer: GCF of Numerators as per given numbers 2572/359, 7445/3625 is
GCF of Numerators i.e. for 2572,7445 is 1
LCM of denominators i.e. for 359,3625 is 1301375.
Thus, GCF of Fractions is 1/1301375.Finally, GCF of Fractions for 2572/359, 7445/3625 is 1/1301375.