Use our free GCF of Fractions Calculator tool to compute the GCF of 36/776, 731/626, 702/657 i.e 1/159577416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/776, 731/626, 702/657.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/776,731/626,702/657
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 36/776,731/626,702/657, numerators are 36,731,702
Denominators are 776,626,657
The GCF of 36,731,702 is 1 .
LCM of 776,626,657 is 159577416.
The greatest common factor of 36/776,731/626,702/657 = [GCF of 36,731,702]/[LCM of 776,626,657]= 1/159577416
Therefore, the GCF of 36/776,731/626,702/657 is 1/159577416.
To find the highest common factor of 36,731,702, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 731 are 1, 17, 43, 731
The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
The HCF of 36,731,702 is 1.
Lets's calculate GCF of 36,731,702
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 731
:1,17,43,731
Now, list down the factors of 702
:1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 36,731,702 . The biggest common factor number is the GCF number.
So the greatest common factor 36,731,702 is 1.
Lets's calculate LCM of 776,626,657
2 | 776, 626, 657 |
388, 313, 657 |
∴ So the LCM of the given numbers is 2 x 388 x 313 x 657 = 159577416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159577416
Therefore, the GCF of Fractions 36/776,731/626,702/657 is 1/159577416
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 776,626,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,626,657) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(776,626,657) x common factors =1 x 2 = 2
LCM(776,626,657) = ( 776 × 626 × 657 ) / 2
LCM(776,626,657) = 319154832 / 2
LCM(776,626,657) = 159577416
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 36,731,702?
The HCF of 36,731,702 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 36/776, 731/626, 702/657?
Answer: GCF of Numerators as per given numbers 36/776, 731/626, 702/657 is
GCF of Numerators i.e. for 36,731,702 is 1
LCM of denominators i.e. for 776,626,657 is 159577416.
Thus, GCF of Fractions is 1/159577416.Finally, GCF of Fractions for 36/776, 731/626, 702/657 is 1/159577416.