Use our free GCF of Fractions Calculator tool to compute the GCF of 90/77, 605/11, 677/796 i.e 1/61292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/77, 605/11, 677/796.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/77,605/11,677/796
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 90/77,605/11,677/796, numerators are 90,605,677
Denominators are 77,11,796
The GCF of 90,605,677 is 1 .
LCM of 77,11,796 is 61292.
The greatest common factor of 90/77,605/11,677/796 = [GCF of 90,605,677]/[LCM of 77,11,796]= 1/61292
Therefore, the GCF of 90/77,605/11,677/796 is 1/61292.
To find the highest common factor of 90,605,677, we have to find the factors of both numbers and list the highest common factor.
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The factors of 605 are 1, 5, 11, 55, 121, 605
The factors of 677 are 1, 677
The HCF of 90,605,677 is 1.
Lets's calculate GCF of 90,605,677
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 90
:1,2,3,5,6,9,10,15,18,30,45,90
Now, list down the factors of 605
:1,5,11,55,121,605
Now, list down the factors of 677
:1,677
Greatest Common Factor
We found the factors 90,605,677 . The biggest common factor number is the GCF number.
So the greatest common factor 90,605,677 is 1.
Lets's calculate LCM of 77,11,796
11 | 77, 11, 796 |
7, 1, 796 |
∴ So the LCM of the given numbers is 11 x 7 x 1 x 796 = 61292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61292
Therefore, the GCF of Fractions 90/77,605/11,677/796 is 1/61292
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 77,11,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,11,796) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(77,11,796) x common factors =1 x 11 = 11
LCM(77,11,796) = ( 77 × 11 × 796 ) / 11
LCM(77,11,796) = 674212 / 11
LCM(77,11,796) = 61292
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 90,605,677?
The HCF of 90,605,677 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 90/77, 605/11, 677/796?
Answer: GCF of Numerators as per given numbers 90/77, 605/11, 677/796 is
GCF of Numerators i.e. for 90,605,677 is 1
LCM of denominators i.e. for 77,11,796 is 61292.
Thus, GCF of Fractions is 1/61292.Finally, GCF of Fractions for 90/77, 605/11, 677/796 is 1/61292.