Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 632/650,530/262,564/558
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 632,530,564
Greatest Common Factor of Numerators i.e. GCF of 632,530,564 is 2 .
LCM of Denominators means LCM of 650,262,558 as per the given fractions.
LCM of 650,262,558 is 23756850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 632,530,564
2 | 632, 530, 564 |
316, 265, 282 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 632,530,564 . The biggest common factor number is the GCF number.
So the greatest common factor 632,530,564 is 2.
Lets's calculate LCM of 650,262,558
2 | 650, 262, 558 |
325, 131, 279 |
∴ So the LCM of the given numbers is 2 x 325 x 131 x 279 = 23756850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23756850
Therefore, the GCF of Fractions 632/650,530/262,564/558 is 2/23756850
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 650,262,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,262,558) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(650,262,558) x common factors =2 x 2 = 4
LCM(650,262,558) = ( 650 × 262 × 558 ) / 4
LCM(650,262,558) = 95027400 / 4
LCM(650,262,558) = 23756850
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 632/650, 530/262, 564/558?
Answer: GCF of Numerators as per given numbers 632/650, 530/262, 564/558 is
GCF of Numerators i.e. for 632,530,564 is 2
LCM of denominators i.e. for 650,262,558 is 23756850.
Thus, GCF of Fractions is 2/23756850.Finally, GCF of Fractions for 632/650, 530/262, 564/558 is 2/23756850.