Use our free GCF of Fractions Calculator tool to compute the GCF of 977/439, 225/685 i.e 1/300715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 977/439, 225/685.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 977/439,225/685
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 977/439,225/685, numerators are 977,225
Denominators are 439,685
The GCF of 977,225 is 1 .
LCM of 439,685 is 300715.
The greatest common factor of 977/439,225/685 = [GCF of 977,225]/[LCM of 439,685]= 1/300715
Therefore, the GCF of 977/439,225/685 is 1/300715.
To find the highest common factor of 977,225, we have to find the factors of both numbers and list the highest common factor.
The factors of 977 are 1, 977
The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225
The HCF of 977,225 is 1.
Lets's calculate GCF of 977,225
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 977
:1,977
Now, list down the factors of 225
:1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 977,225 . The biggest common factor number is the GCF number.
So the greatest common factor 977,225 is 1.
Lets's calculate LCM of 439,685
Given numbers has no common factors except 1. So, there LCM is their product i.e 300715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300715
Therefore, the GCF of Fractions 977/439,225/685 is 1/300715
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 439,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,685) x common factors =1 x 1 = 1
LCM(439,685) = ( 439 × 685 ) / 1
LCM(439,685) = 300715 / 1
LCM(439,685) = 300715
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 977,225?
The HCF of 977,225 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 977/439, 225/685?
Answer: GCF of Numerators as per given numbers 977/439, 225/685 is
GCF of Numerators i.e. for 977,225 is 1
LCM of denominators i.e. for 439,685 is 300715.
Thus, GCF of Fractions is 1/300715.Finally, GCF of Fractions for 977/439, 225/685 is 1/300715.