Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8456/742,4424/558
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 8456,4424
Greatest Common Factor of Numerators i.e. GCF of 8456,4424 is 56 .
LCM of Denominators means LCM of 742,558 as per the given fractions.
LCM of 742,558 is 207018 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8456,4424
2 | 8456, 4424 |
2 | 4228, 2212 |
2 | 2114, 1106 |
7 | 1057, 553 |
151, 79 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Factors of 8456
List of positive integer factors of 8456 that divides 8456 without a remainder.
1,2,4,7,8,14,28,56,151,302,604,1057,1208,2114,4228,8456
Factors of 4424
List of positive integer factors of 4424 that divides 4424 without a remainder.
1,2,4,7,8,14,28,56,79,158,316,553,632,1106,2212,4424
Greatest Common Factor
We found the factors 8456,4424 . The biggest common factor number is the GCF number.
So the greatest common factor 8456,4424 is 56.
Lets's calculate LCM of 742,558
2 | 742, 558 |
371, 279 |
∴ So the LCM of the given numbers is 2 x 371 x 279 = 207018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/207018
Therefore, the GCF of Fractions 8456/742,4424/558 is 56/207018
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 742,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,558) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(742,558) x common factors =2 x 1 = 2
LCM(742,558) = ( 742 × 558 ) / 2
LCM(742,558) = 414036 / 2
LCM(742,558) = 207018
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 8456/742, 4424/558?
Answer: GCF of Numerators as per given numbers 8456/742, 4424/558 is
GCF of Numerators i.e. for 8456,4424 is 56
LCM of denominators i.e. for 742,558 is 207018.
Thus, GCF of Fractions is 56/207018.Finally, GCF of Fractions for 8456/742, 4424/558 is 56/207018.