Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 907/8657,222/5117
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 907,222
Greatest Common Factor of Numerators i.e. GCF of 907,222 is 1 .
LCM of Denominators means LCM of 8657,5117 as per the given fractions.
LCM of 8657,5117 is 44297869 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 907,222
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 907
List of positive integer factors of 907 that divides 907 without a remainder.
1,907
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 907,222 . The biggest common factor number is the GCF number.
So the greatest common factor 907,222 is 1.
Lets's calculate LCM of 8657,5117
Given numbers has no common factors except 1. So, there LCM is their product i.e 44297869
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44297869
Therefore, the GCF of Fractions 907/8657,222/5117 is 1/44297869
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 8657,5117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8657,5117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8657,5117) x common factors =1 x 1 = 1
LCM(8657,5117) = ( 8657 × 5117 ) / 1
LCM(8657,5117) = 44297869 / 1
LCM(8657,5117) = 44297869
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 907/8657, 222/5117?
Answer: GCF of Numerators as per given numbers 907/8657, 222/5117 is
GCF of Numerators i.e. for 907,222 is 1
LCM of denominators i.e. for 8657,5117 is 44297869.
Thus, GCF of Fractions is 1/44297869.Finally, GCF of Fractions for 907/8657, 222/5117 is 1/44297869.