Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 286/106,688/951
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 286,688
Greatest Common Factor of Numerators i.e. GCF of 286,688 is 2 .
LCM of Denominators means LCM of 106,951 as per the given fractions.
LCM of 106,951 is 100806 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 286,688
2 | 286, 688 |
143, 344 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 286,688 . The biggest common factor number is the GCF number.
So the greatest common factor 286,688 is 2.
Lets's calculate LCM of 106,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 100806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/100806
Therefore, the GCF of Fractions 286/106,688/951 is 2/100806
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 106,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,951) x common factors =1 x 1 = 1
LCM(106,951) = ( 106 × 951 ) / 1
LCM(106,951) = 100806 / 1
LCM(106,951) = 100806
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 286/106, 688/951?
Answer: GCF of Numerators as per given numbers 286/106, 688/951 is
GCF of Numerators i.e. for 286,688 is 2
LCM of denominators i.e. for 106,951 is 100806.
Thus, GCF of Fractions is 2/100806.Finally, GCF of Fractions for 286/106, 688/951 is 2/100806.