Use our free GCF of Fractions Calculator tool to compute the GCF of 72/779, 769/292, 638/491 i.e 1/111686788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/779, 769/292, 638/491.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/779,769/292,638/491
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 72/779,769/292,638/491, numerators are 72,769,638
Denominators are 779,292,491
The GCF of 72,769,638 is 1 .
LCM of 779,292,491 is 111686788.
The greatest common factor of 72/779,769/292,638/491 = [GCF of 72,769,638]/[LCM of 779,292,491]= 1/111686788
Therefore, the GCF of 72/779,769/292,638/491 is 1/111686788.
To find the highest common factor of 72,769,638, we have to find the factors of both numbers and list the highest common factor.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 769 are 1, 769
The factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638
The HCF of 72,769,638 is 1.
Lets's calculate GCF of 72,769,638
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 769
:1,769
Now, list down the factors of 638
:1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 72,769,638 . The biggest common factor number is the GCF number.
So the greatest common factor 72,769,638 is 1.
Lets's calculate LCM of 779,292,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 111686788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111686788
Therefore, the GCF of Fractions 72/779,769/292,638/491 is 1/111686788
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 779,292,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,292,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,292,491) x common factors =1 x 1 = 1
LCM(779,292,491) = ( 779 × 292 × 491 ) / 1
LCM(779,292,491) = 111686788 / 1
LCM(779,292,491) = 111686788
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 72,769,638?
The HCF of 72,769,638 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 72/779, 769/292, 638/491?
Answer: GCF of Numerators as per given numbers 72/779, 769/292, 638/491 is
GCF of Numerators i.e. for 72,769,638 is 1
LCM of denominators i.e. for 779,292,491 is 111686788.
Thus, GCF of Fractions is 1/111686788.Finally, GCF of Fractions for 72/779, 769/292, 638/491 is 1/111686788.