Use our free GCF of Fractions Calculator tool to compute the GCF of 43/29, 955/86, 802/810 i.e 1/1010070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/29, 955/86, 802/810.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/29,955/86,802/810
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 43/29,955/86,802/810, numerators are 43,955,802
Denominators are 29,86,810
The GCF of 43,955,802 is 1 .
LCM of 29,86,810 is 1010070.
The greatest common factor of 43/29,955/86,802/810 = [GCF of 43,955,802]/[LCM of 29,86,810]= 1/1010070
Therefore, the GCF of 43/29,955/86,802/810 is 1/1010070.
To find the highest common factor of 43,955,802, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 955 are 1, 5, 191, 955
The factors of 802 are 1, 2, 401, 802
The HCF of 43,955,802 is 1.
Lets's calculate GCF of 43,955,802
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 43
:1,43
Now, list down the factors of 955
:1,5,191,955
Now, list down the factors of 802
:1,2,401,802
Greatest Common Factor
We found the factors 43,955,802 . The biggest common factor number is the GCF number.
So the greatest common factor 43,955,802 is 1.
Lets's calculate LCM of 29,86,810
2 | 29, 86, 810 |
29, 43, 405 |
∴ So the LCM of the given numbers is 2 x 29 x 43 x 405 = 1010070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1010070
Therefore, the GCF of Fractions 43/29,955/86,802/810 is 1/1010070
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 29,86,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,86,810) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(29,86,810) x common factors =1 x 2 = 2
LCM(29,86,810) = ( 29 × 86 × 810 ) / 2
LCM(29,86,810) = 2020140 / 2
LCM(29,86,810) = 1010070
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 43,955,802?
The HCF of 43,955,802 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 43/29, 955/86, 802/810?
Answer: GCF of Numerators as per given numbers 43/29, 955/86, 802/810 is
GCF of Numerators i.e. for 43,955,802 is 1
LCM of denominators i.e. for 29,86,810 is 1010070.
Thus, GCF of Fractions is 1/1010070.Finally, GCF of Fractions for 43/29, 955/86, 802/810 is 1/1010070.