Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 624/71,227/49,668/726
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 624,227,668
Greatest Common Factor of Numerators i.e. GCF of 624,227,668 is 1 .
LCM of Denominators means LCM of 71,49,726 as per the given fractions.
LCM of 71,49,726 is 2525754 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 624,227,668
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Greatest Common Factor
We found the factors 624,227,668 . The biggest common factor number is the GCF number.
So the greatest common factor 624,227,668 is 1.
Lets's calculate LCM of 71,49,726
Given numbers has no common factors except 1. So, there LCM is their product i.e 2525754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2525754
Therefore, the GCF of Fractions 624/71,227/49,668/726 is 1/2525754
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 71,49,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,49,726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,49,726) x common factors =1 x 1 = 1
LCM(71,49,726) = ( 71 × 49 × 726 ) / 1
LCM(71,49,726) = 2525754 / 1
LCM(71,49,726) = 2525754
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 624/71, 227/49, 668/726?
Answer: GCF of Numerators as per given numbers 624/71, 227/49, 668/726 is
GCF of Numerators i.e. for 624,227,668 is 1
LCM of denominators i.e. for 71,49,726 is 2525754.
Thus, GCF of Fractions is 1/2525754.Finally, GCF of Fractions for 624/71, 227/49, 668/726 is 1/2525754.