Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2997/702,5135/766
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 2997,5135
Greatest Common Factor of Numerators i.e. GCF of 2997,5135 is 1 .
LCM of Denominators means LCM of 702,766 as per the given fractions.
LCM of 702,766 is 268866 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2997,5135
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2997
List of positive integer factors of 2997 that divides 2997 without a remainder.
1,3,9,27,37,81,111,333,999,2997
Factors of 5135
List of positive integer factors of 5135 that divides 5135 without a remainder.
1,5,13,65,79,395,1027,5135
Greatest Common Factor
We found the factors 2997,5135 . The biggest common factor number is the GCF number.
So the greatest common factor 2997,5135 is 1.
Lets's calculate LCM of 702,766
2 | 702, 766 |
351, 383 |
∴ So the LCM of the given numbers is 2 x 351 x 383 = 268866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268866
Therefore, the GCF of Fractions 2997/702,5135/766 is 1/268866
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 702,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(702,766) x common factors =2 x 1 = 2
LCM(702,766) = ( 702 × 766 ) / 2
LCM(702,766) = 537732 / 2
LCM(702,766) = 268866
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 2997/702, 5135/766?
Answer: GCF of Numerators as per given numbers 2997/702, 5135/766 is
GCF of Numerators i.e. for 2997,5135 is 1
LCM of denominators i.e. for 702,766 is 268866.
Thus, GCF of Fractions is 1/268866.Finally, GCF of Fractions for 2997/702, 5135/766 is 1/268866.