Use our free GCF of Fractions Calculator tool to compute the GCF of 653/52, 776/9081 i.e 1/472212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 653/52, 776/9081.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 653/52,776/9081
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 653/52,776/9081, numerators are 653,776
Denominators are 52,9081
The GCF of 653,776 is 1 .
LCM of 52,9081 is 472212.
The greatest common factor of 653/52,776/9081 = [GCF of 653,776]/[LCM of 52,9081]= 1/472212
Therefore, the GCF of 653/52,776/9081 is 1/472212.
To find the highest common factor of 653,776, we have to find the factors of both numbers and list the highest common factor.
The factors of 653 are 1, 653
The factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776
The HCF of 653,776 is 1.
Lets's calculate GCF of 653,776
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 653
:1,653
Now, list down the factors of 776
:1,2,4,8,97,194,388,776
Greatest Common Factor
We found the factors 653,776 . The biggest common factor number is the GCF number.
So the greatest common factor 653,776 is 1.
Lets's calculate LCM of 52,9081
Given numbers has no common factors except 1. So, there LCM is their product i.e 472212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/472212
Therefore, the GCF of Fractions 653/52,776/9081 is 1/472212
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 52,9081 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,9081) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,9081) x common factors =1 x 1 = 1
LCM(52,9081) = ( 52 × 9081 ) / 1
LCM(52,9081) = 472212 / 1
LCM(52,9081) = 472212
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 653,776?
The HCF of 653,776 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 653/52, 776/9081?
Answer: GCF of Numerators as per given numbers 653/52, 776/9081 is
GCF of Numerators i.e. for 653,776 is 1
LCM of denominators i.e. for 52,9081 is 472212.
Thus, GCF of Fractions is 1/472212.Finally, GCF of Fractions for 653/52, 776/9081 is 1/472212.