Get help with finding GCF of fractions 4966/529, 1707/7492 using GCF of Fractions Calculator to know the result 1/3963268 the largest number that divides all the numbers with a zero remainder.
Greatest common factor (GCF) of 4966/529, 1707/7492 is 1/3963268.
GCF(4966/529, 1707/7492) = 1/3963268
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4966/529,1707/7492
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 4966,1707
Greatest Common Factor of Numerators i.e. GCF of 4966,1707 is 1 .
LCM of Denominators means LCM of 529,7492 as per the given fractions.
LCM of 529,7492 is 3963268 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4966,1707
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4966
List of positive integer factors of 4966 that divides 4966 without a remainder.
Factors of 1707
List of positive integer factors of 1707 that divides 1707 without a remainder.
Greatest Common Factor
We found the factors 4966,1707 . The biggest common factor number is the GCF number.
So the greatest common factor 4966,1707 is 1.
Lets's calculate LCM of 529,7492
Given numbers has no common factors except 1. So, there LCM is their product i.e 3963268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3963268
Therefore, the GCF of Fractions 4966/529,1707/7492 is 1/3963268
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 529,7492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,7492) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,7492) x common factors =1 x 1 = 1
LCM(529,7492) = ( 529 × 7492 ) / 1
LCM(529,7492) = 3963268 / 1
LCM(529,7492) = 3963268
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 4966/529, 1707/7492?
Answer: GCF of Numerators as per given numbers 4966/529, 1707/7492 is
GCF of Numerators i.e. for 4966,1707 is 1
LCM of denominators i.e. for 529,7492 is 3963268.
Thus, GCF of Fractions is 1/3963268.Finally, GCF of Fractions for 4966/529, 1707/7492 is 1/3963268.