Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 782/304,110/450,426/444
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 782,110,426
Greatest Common Factor of Numerators i.e. GCF of 782,110,426 is 2 .
LCM of Denominators means LCM of 304,450,444 as per the given fractions.
LCM of 304,450,444 is 2530800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 782,110,426
2 | 782, 110, 426 |
391, 55, 213 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 782,110,426 . The biggest common factor number is the GCF number.
So the greatest common factor 782,110,426 is 2.
Lets's calculate LCM of 304,450,444
2 | 304, 450, 444 |
2 | 152, 225, 222 |
3 | 76, 225, 111 |
76, 75, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 76 x 75 x 37 = 2530800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2530800
Therefore, the GCF of Fractions 782/304,110/450,426/444 is 2/2530800
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 304,450,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,450,444) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(304,450,444) x common factors =2 x 12 = 24
LCM(304,450,444) = ( 304 × 450 × 444 ) / 24
LCM(304,450,444) = 60739200 / 24
LCM(304,450,444) = 2530800
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 782/304, 110/450, 426/444?
Answer: GCF of Numerators as per given numbers 782/304, 110/450, 426/444 is
GCF of Numerators i.e. for 782,110,426 is 2
LCM of denominators i.e. for 304,450,444 is 2530800.
Thus, GCF of Fractions is 2/2530800.Finally, GCF of Fractions for 782/304, 110/450, 426/444 is 2/2530800.