Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1924/84,6856/247
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 1924,6856
Greatest Common Factor of Numerators i.e. GCF of 1924,6856 is 4 .
LCM of Denominators means LCM of 84,247 as per the given fractions.
LCM of 84,247 is 20748 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1924,6856
2 | 1924, 6856 |
2 | 962, 3428 |
481, 1714 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 1924
List of positive integer factors of 1924 that divides 1924 without a remainder.
1,2,4,13,26,37,52,74,148,481,962,1924
Factors of 6856
List of positive integer factors of 6856 that divides 6856 without a remainder.
1,2,4,8,857,1714,3428,6856
Greatest Common Factor
We found the factors 1924,6856 . The biggest common factor number is the GCF number.
So the greatest common factor 1924,6856 is 4.
Lets's calculate LCM of 84,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 20748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/20748
Therefore, the GCF of Fractions 1924/84,6856/247 is 4/20748
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 84,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,247) x common factors =1 x 1 = 1
LCM(84,247) = ( 84 × 247 ) / 1
LCM(84,247) = 20748 / 1
LCM(84,247) = 20748
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 1924/84, 6856/247?
Answer: GCF of Numerators as per given numbers 1924/84, 6856/247 is
GCF of Numerators i.e. for 1924,6856 is 4
LCM of denominators i.e. for 84,247 is 20748.
Thus, GCF of Fractions is 4/20748.Finally, GCF of Fractions for 1924/84, 6856/247 is 4/20748.