Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8249/56,3400/925
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 8249,3400
Greatest Common Factor of Numerators i.e. GCF of 8249,3400 is 1 .
LCM of Denominators means LCM of 56,925 as per the given fractions.
LCM of 56,925 is 51800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8249,3400
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8249
List of positive integer factors of 8249 that divides 8249 without a remainder.
1,73,113,8249
Factors of 3400
List of positive integer factors of 3400 that divides 3400 without a remainder.
1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400
Greatest Common Factor
We found the factors 8249,3400 . The biggest common factor number is the GCF number.
So the greatest common factor 8249,3400 is 1.
Lets's calculate LCM of 56,925
Given numbers has no common factors except 1. So, there LCM is their product i.e 51800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51800
Therefore, the GCF of Fractions 8249/56,3400/925 is 1/51800
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 56,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,925) x common factors =1 x 1 = 1
LCM(56,925) = ( 56 × 925 ) / 1
LCM(56,925) = 51800 / 1
LCM(56,925) = 51800
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 8249/56, 3400/925?
Answer: GCF of Numerators as per given numbers 8249/56, 3400/925 is
GCF of Numerators i.e. for 8249,3400 is 1
LCM of denominators i.e. for 56,925 is 51800.
Thus, GCF of Fractions is 1/51800.Finally, GCF of Fractions for 8249/56, 3400/925 is 1/51800.