Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5214/675,3606/526
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 5214,3606
Greatest Common Factor of Numerators i.e. GCF of 5214,3606 is 6 .
LCM of Denominators means LCM of 675,526 as per the given fractions.
LCM of 675,526 is 355050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5214,3606
2 | 5214, 3606 |
3 | 2607, 1803 |
869, 601 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 5214
List of positive integer factors of 5214 that divides 5214 without a remainder.
1,2,3,6,11,22,33,66,79,158,237,474,869,1738,2607,5214
Factors of 3606
List of positive integer factors of 3606 that divides 3606 without a remainder.
1,2,3,6,601,1202,1803,3606
Greatest Common Factor
We found the factors 5214,3606 . The biggest common factor number is the GCF number.
So the greatest common factor 5214,3606 is 6.
Lets's calculate LCM of 675,526
Given numbers has no common factors except 1. So, there LCM is their product i.e 355050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/355050
Therefore, the GCF of Fractions 5214/675,3606/526 is 6/355050
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 675,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,526) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(675,526) x common factors =1 x 1 = 1
LCM(675,526) = ( 675 × 526 ) / 1
LCM(675,526) = 355050 / 1
LCM(675,526) = 355050
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 5214/675, 3606/526?
Answer: GCF of Numerators as per given numbers 5214/675, 3606/526 is
GCF of Numerators i.e. for 5214,3606 is 6
LCM of denominators i.e. for 675,526 is 355050.
Thus, GCF of Fractions is 6/355050.Finally, GCF of Fractions for 5214/675, 3606/526 is 6/355050.