Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1789/911,4992/7583
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 1789,4992
Greatest Common Factor of Numerators i.e. GCF of 1789,4992 is 1 .
LCM of Denominators means LCM of 911,7583 as per the given fractions.
LCM of 911,7583 is 6908113 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1789,4992
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1789
List of positive integer factors of 1789 that divides 1789 without a remainder.
1,1789
Factors of 4992
List of positive integer factors of 4992 that divides 4992 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,312,384,416,624,832,1248,1664,2496,4992
Greatest Common Factor
We found the factors 1789,4992 . The biggest common factor number is the GCF number.
So the greatest common factor 1789,4992 is 1.
Lets's calculate LCM of 911,7583
Given numbers has no common factors except 1. So, there LCM is their product i.e 6908113
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6908113
Therefore, the GCF of Fractions 1789/911,4992/7583 is 1/6908113
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 911,7583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,7583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,7583) x common factors =1 x 1 = 1
LCM(911,7583) = ( 911 × 7583 ) / 1
LCM(911,7583) = 6908113 / 1
LCM(911,7583) = 6908113
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 1789/911, 4992/7583?
Answer: GCF of Numerators as per given numbers 1789/911, 4992/7583 is
GCF of Numerators i.e. for 1789,4992 is 1
LCM of denominators i.e. for 911,7583 is 6908113.
Thus, GCF of Fractions is 1/6908113.Finally, GCF of Fractions for 1789/911, 4992/7583 is 1/6908113.