Use our free GCF of Fractions Calculator tool to compute the GCF of 39/90, 637/91, 920/126 i.e 1/8190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/90, 637/91, 920/126.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/90,637/91,920/126
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 39/90,637/91,920/126, numerators are 39,637,920
Denominators are 90,91,126
The GCF of 39,637,920 is 1 .
LCM of 90,91,126 is 8190.
The greatest common factor of 39/90,637/91,920/126 = [GCF of 39,637,920]/[LCM of 90,91,126]= 1/8190
Therefore, the GCF of 39/90,637/91,920/126 is 1/8190.
To find the highest common factor of 39,637,920, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 637 are 1, 7, 13, 49, 91, 637
The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The HCF of 39,637,920 is 1.
Lets's calculate GCF of 39,637,920
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 637
:1,7,13,49,91,637
Now, list down the factors of 920
:1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 39,637,920 . The biggest common factor number is the GCF number.
So the greatest common factor 39,637,920 is 1.
Lets's calculate LCM of 90,91,126
2 | 90, 91, 126 |
3 | 45, 91, 63 |
3 | 15, 91, 21 |
7 | 5, 91, 7 |
5, 13, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 5 x 13 x 1 = 8190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8190
Therefore, the GCF of Fractions 39/90,637/91,920/126 is 1/8190
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 90,91,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,91,126) = 1
common factors(in case of two or more numbers have common factors) = 126
GCF(90,91,126) x common factors =1 x 126 = 126
LCM(90,91,126) = ( 90 × 91 × 126 ) / 126
LCM(90,91,126) = 1031940 / 126
LCM(90,91,126) = 8190
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 39,637,920?
The HCF of 39,637,920 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 39/90, 637/91, 920/126?
Answer: GCF of Numerators as per given numbers 39/90, 637/91, 920/126 is
GCF of Numerators i.e. for 39,637,920 is 1
LCM of denominators i.e. for 90,91,126 is 8190.
Thus, GCF of Fractions is 1/8190.Finally, GCF of Fractions for 39/90, 637/91, 920/126 is 1/8190.