Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1716/814,8508/2272
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 1716,8508
Greatest Common Factor of Numerators i.e. GCF of 1716,8508 is 12 .
LCM of Denominators means LCM of 814,2272 as per the given fractions.
LCM of 814,2272 is 924704 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1716,8508
2 | 1716, 8508 |
2 | 858, 4254 |
3 | 429, 2127 |
143, 709 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 1716
List of positive integer factors of 1716 that divides 1716 without a remainder.
1,2,3,4,6,11,12,13,22,26,33,39,44,52,66,78,132,143,156,286,429,572,858,1716
Factors of 8508
List of positive integer factors of 8508 that divides 8508 without a remainder.
1,2,3,4,6,12,709,1418,2127,2836,4254,8508
Greatest Common Factor
We found the factors 1716,8508 . The biggest common factor number is the GCF number.
So the greatest common factor 1716,8508 is 12.
Lets's calculate LCM of 814,2272
2 | 814, 2272 |
407, 1136 |
∴ So the LCM of the given numbers is 2 x 407 x 1136 = 924704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/924704
Therefore, the GCF of Fractions 1716/814,8508/2272 is 12/924704
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 814,2272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,2272) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,2272) x common factors =2 x 1 = 2
LCM(814,2272) = ( 814 × 2272 ) / 2
LCM(814,2272) = 1849408 / 2
LCM(814,2272) = 924704
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 1716/814, 8508/2272?
Answer: GCF of Numerators as per given numbers 1716/814, 8508/2272 is
GCF of Numerators i.e. for 1716,8508 is 12
LCM of denominators i.e. for 814,2272 is 924704.
Thus, GCF of Fractions is 12/924704.Finally, GCF of Fractions for 1716/814, 8508/2272 is 12/924704.