Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4795/41,5340/701
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 4795,5340
Greatest Common Factor of Numerators i.e. GCF of 4795,5340 is 5 .
LCM of Denominators means LCM of 41,701 as per the given fractions.
LCM of 41,701 is 28741 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4795,5340
5 | 4795, 5340 |
959, 1068 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 4795
List of positive integer factors of 4795 that divides 4795 without a remainder.
1,5,7,35,137,685,959,4795
Factors of 5340
List of positive integer factors of 5340 that divides 5340 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,89,178,267,356,445,534,890,1068,1335,1780,2670,5340
Greatest Common Factor
We found the factors 4795,5340 . The biggest common factor number is the GCF number.
So the greatest common factor 4795,5340 is 5.
Lets's calculate LCM of 41,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 28741
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/28741
Therefore, the GCF of Fractions 4795/41,5340/701 is 5/28741
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 41,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,701) x common factors =1 x 1 = 1
LCM(41,701) = ( 41 × 701 ) / 1
LCM(41,701) = 28741 / 1
LCM(41,701) = 28741
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 4795/41, 5340/701?
Answer: GCF of Numerators as per given numbers 4795/41, 5340/701 is
GCF of Numerators i.e. for 4795,5340 is 5
LCM of denominators i.e. for 41,701 is 28741.
Thus, GCF of Fractions is 5/28741.Finally, GCF of Fractions for 4795/41, 5340/701 is 5/28741.