Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/786,786/856,626/594
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 55,786,626
Greatest Common Factor of Numerators i.e. GCF of 55,786,626 is 1 .
LCM of Denominators means LCM of 786,856,594 as per the given fractions.
LCM of 786,856,594 is 33304392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 55,786,626
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors 55,786,626 . The biggest common factor number is the GCF number.
So the greatest common factor 55,786,626 is 1.
Lets's calculate LCM of 786,856,594
2 | 786, 856, 594 |
3 | 393, 428, 297 |
131, 428, 99 |
∴ So the LCM of the given numbers is 2 x 3 x 131 x 428 x 99 = 33304392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33304392
Therefore, the GCF of Fractions 55/786,786/856,626/594 is 1/33304392
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 786,856,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,856,594) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(786,856,594) x common factors =2 x 6 = 12
LCM(786,856,594) = ( 786 × 856 × 594 ) / 12
LCM(786,856,594) = 399652704 / 12
LCM(786,856,594) = 33304392
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 55/786, 786/856, 626/594?
Answer: GCF of Numerators as per given numbers 55/786, 786/856, 626/594 is
GCF of Numerators i.e. for 55,786,626 is 1
LCM of denominators i.e. for 786,856,594 is 33304392.
Thus, GCF of Fractions is 1/33304392.Finally, GCF of Fractions for 55/786, 786/856, 626/594 is 1/33304392.