Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 469/63,735/2956
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 469,735
Greatest Common Factor of Numerators i.e. GCF of 469,735 is 7 .
LCM of Denominators means LCM of 63,2956 as per the given fractions.
LCM of 63,2956 is 186228 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 469,735
7 | 469, 735 |
67, 105 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 469,735 . The biggest common factor number is the GCF number.
So the greatest common factor 469,735 is 7.
Lets's calculate LCM of 63,2956
Given numbers has no common factors except 1. So, there LCM is their product i.e 186228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/186228
Therefore, the GCF of Fractions 469/63,735/2956 is 7/186228
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 63,2956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,2956) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,2956) x common factors =1 x 1 = 1
LCM(63,2956) = ( 63 × 2956 ) / 1
LCM(63,2956) = 186228 / 1
LCM(63,2956) = 186228
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 469/63, 735/2956?
Answer: GCF of Numerators as per given numbers 469/63, 735/2956 is
GCF of Numerators i.e. for 469,735 is 7
LCM of denominators i.e. for 63,2956 is 186228.
Thus, GCF of Fractions is 7/186228.Finally, GCF of Fractions for 469/63, 735/2956 is 7/186228.