Use our free GCF of Fractions Calculator tool to compute the GCF of 3125/865, 7465/2056 i.e 5/1778440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3125/865, 7465/2056.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3125/865,7465/2056
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 3125/865,7465/2056, numerators are 3125,7465
Denominators are 865,2056
The GCF of 3125,7465 is 5 .
LCM of 865,2056 is 1778440.
The greatest common factor of 3125/865,7465/2056 = [GCF of 3125,7465]/[LCM of 865,2056]= 5/1778440
Therefore, the GCF of 3125/865,7465/2056 is 5/1778440.
To find the highest common factor of 3125,7465, we have to find the factors of both numbers and list the highest common factor.
The factors of 3125 are 1, 5, 25, 125, 625, 3125
The factors of 7465 are 1, 5, 1493, 7465
The HCF of 3125,7465 is 5.
Lets's calculate GCF of 3125,7465
5 | 3125, 7465 |
625, 1493 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 3125
:1,5,25,125,625,3125
Now, list down the factors of 7465
:1,5,1493,7465
Greatest Common Factor
We found the factors 3125,7465 . The biggest common factor number is the GCF number.
So the greatest common factor 3125,7465 is 5.
Lets's calculate LCM of 865,2056
Given numbers has no common factors except 1. So, there LCM is their product i.e 1778440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1778440
Therefore, the GCF of Fractions 3125/865,7465/2056 is 5/1778440
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 865,2056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,2056) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,2056) x common factors =1 x 1 = 1
LCM(865,2056) = ( 865 × 2056 ) / 1
LCM(865,2056) = 1778440 / 1
LCM(865,2056) = 1778440
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3125,7465?
The HCF of 3125,7465 is 5
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 3125/865, 7465/2056?
Answer: GCF of Numerators as per given numbers 3125/865, 7465/2056 is
GCF of Numerators i.e. for 3125,7465 is 5
LCM of denominators i.e. for 865,2056 is 1778440.
Thus, GCF of Fractions is 5/1778440.Finally, GCF of Fractions for 3125/865, 7465/2056 is 5/1778440.