Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 624/1277,888/6049
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 624,888
Greatest Common Factor of Numerators i.e. GCF of 624,888 is 24 .
LCM of Denominators means LCM of 1277,6049 as per the given fractions.
LCM of 1277,6049 is 7724573 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 624,888
2 | 624, 888 |
2 | 312, 444 |
2 | 156, 222 |
3 | 78, 111 |
26, 37 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
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 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Greatest Common Factor
We found the factors 624,888 . The biggest common factor number is the GCF number.
So the greatest common factor 624,888 is 24.
Lets's calculate LCM of 1277,6049
Given numbers has no common factors except 1. So, there LCM is their product i.e 7724573
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/7724573
Therefore, the GCF of Fractions 624/1277,888/6049 is 24/7724573
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 1277,6049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1277,6049) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1277,6049) x common factors =1 x 1 = 1
LCM(1277,6049) = ( 1277 × 6049 ) / 1
LCM(1277,6049) = 7724573 / 1
LCM(1277,6049) = 7724573
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 624/1277, 888/6049?
Answer: GCF of Numerators as per given numbers 624/1277, 888/6049 is
GCF of Numerators i.e. for 624,888 is 24
LCM of denominators i.e. for 1277,6049 is 7724573.
Thus, GCF of Fractions is 24/7724573.Finally, GCF of Fractions for 624/1277, 888/6049 is 24/7724573.