Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4705/667,7957/2812
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 4705,7957
Greatest Common Factor of Numerators i.e. GCF of 4705,7957 is 1 .
LCM of Denominators means LCM of 667,2812 as per the given fractions.
LCM of 667,2812 is 1875604 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4705,7957
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4705
List of positive integer factors of 4705 that divides 4705 without a remainder.
1,5,941,4705
Factors of 7957
List of positive integer factors of 7957 that divides 7957 without a remainder.
1,73,109,7957
Greatest Common Factor
We found the factors 4705,7957 . The biggest common factor number is the GCF number.
So the greatest common factor 4705,7957 is 1.
Lets's calculate LCM of 667,2812
Given numbers has no common factors except 1. So, there LCM is their product i.e 1875604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1875604
Therefore, the GCF of Fractions 4705/667,7957/2812 is 1/1875604
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 667,2812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,2812) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,2812) x common factors =1 x 1 = 1
LCM(667,2812) = ( 667 × 2812 ) / 1
LCM(667,2812) = 1875604 / 1
LCM(667,2812) = 1875604
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 4705/667, 7957/2812?
Answer: GCF of Numerators as per given numbers 4705/667, 7957/2812 is
GCF of Numerators i.e. for 4705,7957 is 1
LCM of denominators i.e. for 667,2812 is 1875604.
Thus, GCF of Fractions is 1/1875604.Finally, GCF of Fractions for 4705/667, 7957/2812 is 1/1875604.