Use our free GCF of Fractions Calculator tool to compute the GCF of 3/86, 98/80, 29/731, 781/598 i.e 1/17485520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/86, 98/80, 29/731, 781/598.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/86,98/80,29/731,781/598
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 3/86,98/80,29/731,781/598, numerators are 3,98,29,781
Denominators are 86,80,731,598
The GCF of 3,98,29,781 is 1 .
LCM of 86,80,731,598 is 17485520.
The greatest common factor of 3/86,98/80,29/731,781/598 = [GCF of 3,98,29,781]/[LCM of 86,80,731,598]= 1/17485520
Therefore, the GCF of 3/86,98/80,29/731,781/598 is 1/17485520.
To find the highest common factor of 3,98,29,781, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 29 are 1, 29
The factors of 781 are 1, 11, 71, 781
The HCF of 3,98,29,781 is 1.
Lets's calculate GCF of 3,98,29,781
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3
:1,3
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 29
:1,29
Now, list down the factors of 781
:1,11,71,781
Greatest Common Factor
We found the factors 3,98,29,781 . The biggest common factor number is the GCF number.
So the greatest common factor 3,98,29,781 is 1.
Lets's calculate LCM of 86,80,731,598
2 | 86, 80, 731, 598 |
43 | 43, 40, 731, 299 |
1, 40, 17, 299 |
∴ So the LCM of the given numbers is 2 x 43 x 1 x 40 x 17 x 299 = 17485520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17485520
Therefore, the GCF of Fractions 3/86,98/80,29/731,781/598 is 1/17485520
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 86,80,731,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,80,731,598) = 1
common factors(in case of two or more numbers have common factors) = 172
GCF(86,80,731,598) x common factors =1 x 172 = 172
LCM(86,80,731,598) = ( 86 × 80 × 731 × 598 ) / 172
LCM(86,80,731,598) = 3007509440 / 172
LCM(86,80,731,598) = 17485520
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3,98,29,781?
The HCF of 3,98,29,781 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 3/86, 98/80, 29/731, 781/598?
Answer: GCF of Numerators as per given numbers 3/86, 98/80, 29/731, 781/598 is
GCF of Numerators i.e. for 3,98,29,781 is 1
LCM of denominators i.e. for 86,80,731,598 is 17485520.
Thus, GCF of Fractions is 1/17485520.Finally, GCF of Fractions for 3/86, 98/80, 29/731, 781/598 is 1/17485520.