Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6435/954,7052/173
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 6435,7052
Greatest Common Factor of Numerators i.e. GCF of 6435,7052 is 1 .
LCM of Denominators means LCM of 954,173 as per the given fractions.
LCM of 954,173 is 165042 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6435,7052
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6435
List of positive integer factors of 6435 that divides 6435 without a remainder.
1,3,5,9,11,13,15,33,39,45,55,65,99,117,143,165,195,429,495,585,715,1287,2145,6435
Factors of 7052
List of positive integer factors of 7052 that divides 7052 without a remainder.
1,2,4,41,43,82,86,164,172,1763,3526,7052
Greatest Common Factor
We found the factors 6435,7052 . The biggest common factor number is the GCF number.
So the greatest common factor 6435,7052 is 1.
Lets's calculate LCM of 954,173
Given numbers has no common factors except 1. So, there LCM is their product i.e 165042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165042
Therefore, the GCF of Fractions 6435/954,7052/173 is 1/165042
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 954,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(954,173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(954,173) x common factors =1 x 1 = 1
LCM(954,173) = ( 954 × 173 ) / 1
LCM(954,173) = 165042 / 1
LCM(954,173) = 165042
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 6435/954, 7052/173?
Answer: GCF of Numerators as per given numbers 6435/954, 7052/173 is
GCF of Numerators i.e. for 6435,7052 is 1
LCM of denominators i.e. for 954,173 is 165042.
Thus, GCF of Fractions is 1/165042.Finally, GCF of Fractions for 6435/954, 7052/173 is 1/165042.