Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 624/55,985/36,467/823
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 624,985,467
Greatest Common Factor of Numerators i.e. GCF of 624,985,467 is 1 .
LCM of Denominators means LCM of 55,36,823 as per the given fractions.
LCM of 55,36,823 is 1629540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 624,985,467
∴ 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 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Greatest Common Factor
We found the factors 624,985,467 . The biggest common factor number is the GCF number.
So the greatest common factor 624,985,467 is 1.
Lets's calculate LCM of 55,36,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 1629540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1629540
Therefore, the GCF of Fractions 624/55,985/36,467/823 is 1/1629540
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 55,36,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,36,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,36,823) x common factors =1 x 1 = 1
LCM(55,36,823) = ( 55 × 36 × 823 ) / 1
LCM(55,36,823) = 1629540 / 1
LCM(55,36,823) = 1629540
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 624/55, 985/36, 467/823?
Answer: GCF of Numerators as per given numbers 624/55, 985/36, 467/823 is
GCF of Numerators i.e. for 624,985,467 is 1
LCM of denominators i.e. for 55,36,823 is 1629540.
Thus, GCF of Fractions is 1/1629540.Finally, GCF of Fractions for 624/55, 985/36, 467/823 is 1/1629540.