Use our free GCF of Fractions Calculator tool to compute the GCF of 9204/732, 8701/691 i.e 1/505812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9204/732, 8701/691.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9204/732,8701/691
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 9204/732,8701/691, numerators are 9204,8701
Denominators are 732,691
The GCF of 9204,8701 is 1 .
LCM of 732,691 is 505812.
The greatest common factor of 9204/732,8701/691 = [GCF of 9204,8701]/[LCM of 732,691]= 1/505812
Therefore, the GCF of 9204/732,8701/691 is 1/505812.
To find the highest common factor of 9204,8701, we have to find the factors of both numbers and list the highest common factor.
The factors of 9204 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 59, 78, 118, 156, 177, 236, 354, 708, 767, 1534, 2301, 3068, 4602, 9204
The factors of 8701 are 1, 7, 11, 77, 113, 791, 1243, 8701
The HCF of 9204,8701 is 1.
Lets's calculate GCF of 9204,8701
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9204
:1,2,3,4,6,12,13,26,39,52,59,78,118,156,177,236,354,708,767,1534,2301,3068,4602,9204
Now, list down the factors of 8701
:1,7,11,77,113,791,1243,8701
Greatest Common Factor
We found the factors 9204,8701 . The biggest common factor number is the GCF number.
So the greatest common factor 9204,8701 is 1.
Lets's calculate LCM of 732,691
Given numbers has no common factors except 1. So, there LCM is their product i.e 505812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/505812
Therefore, the GCF of Fractions 9204/732,8701/691 is 1/505812
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 732,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(732,691) x common factors =1 x 1 = 1
LCM(732,691) = ( 732 × 691 ) / 1
LCM(732,691) = 505812 / 1
LCM(732,691) = 505812
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9204,8701?
The HCF of 9204,8701 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 9204/732, 8701/691?
Answer: GCF of Numerators as per given numbers 9204/732, 8701/691 is
GCF of Numerators i.e. for 9204,8701 is 1
LCM of denominators i.e. for 732,691 is 505812.
Thus, GCF of Fractions is 1/505812.Finally, GCF of Fractions for 9204/732, 8701/691 is 1/505812.