Use our free GCF of Fractions Calculator tool to compute the GCF of 17/774, 26/902, 432/218 i.e 1/38049066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/774, 26/902, 432/218.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/774,26/902,432/218
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 17/774,26/902,432/218, numerators are 17,26,432
Denominators are 774,902,218
The GCF of 17,26,432 is 1 .
LCM of 774,902,218 is 38049066.
The greatest common factor of 17/774,26/902,432/218 = [GCF of 17,26,432]/[LCM of 774,902,218]= 1/38049066
Therefore, the GCF of 17/774,26/902,432/218 is 1/38049066.
To find the highest common factor of 17,26,432, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 26 are 1, 2, 13, 26
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The HCF of 17,26,432 is 1.
Lets's calculate GCF of 17,26,432
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 17
:1,17
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 17,26,432 . The biggest common factor number is the GCF number.
So the greatest common factor 17,26,432 is 1.
Lets's calculate LCM of 774,902,218
2 | 774, 902, 218 |
387, 451, 109 |
∴ So the LCM of the given numbers is 2 x 387 x 451 x 109 = 38049066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38049066
Therefore, the GCF of Fractions 17/774,26/902,432/218 is 1/38049066
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 774,902,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,902,218) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(774,902,218) x common factors =2 x 2 = 4
LCM(774,902,218) = ( 774 × 902 × 218 ) / 4
LCM(774,902,218) = 152196264 / 4
LCM(774,902,218) = 38049066
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 17,26,432?
The HCF of 17,26,432 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 17/774, 26/902, 432/218?
Answer: GCF of Numerators as per given numbers 17/774, 26/902, 432/218 is
GCF of Numerators i.e. for 17,26,432 is 1
LCM of denominators i.e. for 774,902,218 is 38049066.
Thus, GCF of Fractions is 1/38049066.Finally, GCF of Fractions for 17/774, 26/902, 432/218 is 1/38049066.