Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2686/110,7194/169
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 2686,7194
Greatest Common Factor of Numerators i.e. GCF of 2686,7194 is 2 .
LCM of Denominators means LCM of 110,169 as per the given fractions.
LCM of 110,169 is 18590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2686,7194
2 | 2686, 7194 |
1343, 3597 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2686
List of positive integer factors of 2686 that divides 2686 without a remainder.
1,2,17,34,79,158,1343,2686
Factors of 7194
List of positive integer factors of 7194 that divides 7194 without a remainder.
1,2,3,6,11,22,33,66,109,218,327,654,1199,2398,3597,7194
Greatest Common Factor
We found the factors 2686,7194 . The biggest common factor number is the GCF number.
So the greatest common factor 2686,7194 is 2.
Lets's calculate LCM of 110,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 18590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18590
Therefore, the GCF of Fractions 2686/110,7194/169 is 2/18590
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 110,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(110,169) x common factors =1 x 1 = 1
LCM(110,169) = ( 110 × 169 ) / 1
LCM(110,169) = 18590 / 1
LCM(110,169) = 18590
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 2686/110, 7194/169?
Answer: GCF of Numerators as per given numbers 2686/110, 7194/169 is
GCF of Numerators i.e. for 2686,7194 is 2
LCM of denominators i.e. for 110,169 is 18590.
Thus, GCF of Fractions is 2/18590.Finally, GCF of Fractions for 2686/110, 7194/169 is 2/18590.