Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3778/757,5657/4747
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 3778,5657
Greatest Common Factor of Numerators i.e. GCF of 3778,5657 is 1 .
LCM of Denominators means LCM of 757,4747 as per the given fractions.
LCM of 757,4747 is 3593479 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3778,5657
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3778
List of positive integer factors of 3778 that divides 3778 without a remainder.
1,2,1889,3778
Factors of 5657
List of positive integer factors of 5657 that divides 5657 without a remainder.
1,5657
Greatest Common Factor
We found the factors 3778,5657 . The biggest common factor number is the GCF number.
So the greatest common factor 3778,5657 is 1.
Lets's calculate LCM of 757,4747
Given numbers has no common factors except 1. So, there LCM is their product i.e 3593479
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3593479
Therefore, the GCF of Fractions 3778/757,5657/4747 is 1/3593479
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 757,4747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,4747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,4747) x common factors =1 x 1 = 1
LCM(757,4747) = ( 757 × 4747 ) / 1
LCM(757,4747) = 3593479 / 1
LCM(757,4747) = 3593479
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 3778/757, 5657/4747?
Answer: GCF of Numerators as per given numbers 3778/757, 5657/4747 is
GCF of Numerators i.e. for 3778,5657 is 1
LCM of denominators i.e. for 757,4747 is 3593479.
Thus, GCF of Fractions is 1/3593479.Finally, GCF of Fractions for 3778/757, 5657/4747 is 1/3593479.