Use our free GCF of Fractions Calculator tool to compute the GCF of 40/902, 918/460, 271/943 i.e 1/207460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/902, 918/460, 271/943.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/902,918/460,271/943
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 40/902,918/460,271/943, numerators are 40,918,271
Denominators are 902,460,943
The GCF of 40,918,271 is 1 .
LCM of 902,460,943 is 207460.
The greatest common factor of 40/902,918/460,271/943 = [GCF of 40,918,271]/[LCM of 902,460,943]= 1/207460
Therefore, the GCF of 40/902,918/460,271/943 is 1/207460.
To find the highest common factor of 40,918,271, we have to find the factors of both numbers and list the highest common factor.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
The factors of 271 are 1, 271
The HCF of 40,918,271 is 1.
Lets's calculate GCF of 40,918,271
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 918
:1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Now, list down the factors of 271
:1,271
Greatest Common Factor
We found the factors 40,918,271 . The biggest common factor number is the GCF number.
So the greatest common factor 40,918,271 is 1.
Lets's calculate LCM of 902,460,943
2 | 902, 460, 943 |
23 | 451, 230, 943 |
41 | 451, 10, 41 |
11, 10, 1 |
∴ So the LCM of the given numbers is 2 x 23 x 41 x 11 x 10 x 1 = 207460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207460
Therefore, the GCF of Fractions 40/902,918/460,271/943 is 1/207460
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 902,460,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,460,943) = 1
common factors(in case of two or more numbers have common factors) = 1886
GCF(902,460,943) x common factors =1 x 1886 = 1886
LCM(902,460,943) = ( 902 × 460 × 943 ) / 1886
LCM(902,460,943) = 391269560 / 1886
LCM(902,460,943) = 207460
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 40,918,271?
The HCF of 40,918,271 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 40/902, 918/460, 271/943?
Answer: GCF of Numerators as per given numbers 40/902, 918/460, 271/943 is
GCF of Numerators i.e. for 40,918,271 is 1
LCM of denominators i.e. for 902,460,943 is 207460.
Thus, GCF of Fractions is 1/207460.Finally, GCF of Fractions for 40/902, 918/460, 271/943 is 1/207460.