Get help with finding GCF of fractions 4207/44, 8929/797 using GCF of Fractions Calculator to know the result 1/35068 the largest number that divides all the numbers with a zero remainder.
Greatest common factor (GCF) of 4207/44, 8929/797 is 1/35068.
GCF(4207/44, 8929/797) = 1/35068
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4207/44,8929/797
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 4207,8929
Greatest Common Factor of Numerators i.e. GCF of 4207,8929 is 1 .
LCM of Denominators means LCM of 44,797 as per the given fractions.
LCM of 44,797 is 35068 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4207,8929
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4207
List of positive integer factors of 4207 that divides 4207 without a remainder.
Factors of 8929
List of positive integer factors of 8929 that divides 8929 without a remainder.
Greatest Common Factor
We found the factors 4207,8929 . The biggest common factor number is the GCF number.
So the greatest common factor 4207,8929 is 1.
Lets's calculate LCM of 44,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 35068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35068
Therefore, the GCF of Fractions 4207/44,8929/797 is 1/35068
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 44,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,797) x common factors =1 x 1 = 1
LCM(44,797) = ( 44 × 797 ) / 1
LCM(44,797) = 35068 / 1
LCM(44,797) = 35068
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 4207/44, 8929/797?
Answer: GCF of Numerators as per given numbers 4207/44, 8929/797 is
GCF of Numerators i.e. for 4207,8929 is 1
LCM of denominators i.e. for 44,797 is 35068.
Thus, GCF of Fractions is 1/35068.Finally, GCF of Fractions for 4207/44, 8929/797 is 1/35068.