Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9401/850,7780/7077
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 9401,7780
Greatest Common Factor of Numerators i.e. GCF of 9401,7780 is 1 .
LCM of Denominators means LCM of 850,7077 as per the given fractions.
LCM of 850,7077 is 6015450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9401,7780
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9401
List of positive integer factors of 9401 that divides 9401 without a remainder.
1,7,17,79,119,553,1343,9401
Factors of 7780
List of positive integer factors of 7780 that divides 7780 without a remainder.
1,2,4,5,10,20,389,778,1556,1945,3890,7780
Greatest Common Factor
We found the factors 9401,7780 . The biggest common factor number is the GCF number.
So the greatest common factor 9401,7780 is 1.
Lets's calculate LCM of 850,7077
Given numbers has no common factors except 1. So, there LCM is their product i.e 6015450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6015450
Therefore, the GCF of Fractions 9401/850,7780/7077 is 1/6015450
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 850,7077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,7077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(850,7077) x common factors =1 x 1 = 1
LCM(850,7077) = ( 850 × 7077 ) / 1
LCM(850,7077) = 6015450 / 1
LCM(850,7077) = 6015450
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 9401/850, 7780/7077?
Answer: GCF of Numerators as per given numbers 9401/850, 7780/7077 is
GCF of Numerators i.e. for 9401,7780 is 1
LCM of denominators i.e. for 850,7077 is 6015450.
Thus, GCF of Fractions is 1/6015450.Finally, GCF of Fractions for 9401/850, 7780/7077 is 1/6015450.