Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 688/69,708/18,669/184
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 688,708,669
Greatest Common Factor of Numerators i.e. GCF of 688,708,669 is 1 .
LCM of Denominators means LCM of 69,18,184 as per the given fractions.
LCM of 69,18,184 is 1656 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 688,708,669
∴ So GCF of numbers is 1 because of no common factors present between them.
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
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Greatest Common Factor
We found the factors 688,708,669 . The biggest common factor number is the GCF number.
So the greatest common factor 688,708,669 is 1.
Lets's calculate LCM of 69,18,184
2 | 69, 18, 184 |
3 | 69, 9, 92 |
23 | 23, 3, 92 |
1, 3, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 1 x 3 x 4 = 1656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1656
Therefore, the GCF of Fractions 688/69,708/18,669/184 is 1/1656
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 69,18,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,18,184) = 1
common factors(in case of two or more numbers have common factors) = 138
GCF(69,18,184) x common factors =1 x 138 = 138
LCM(69,18,184) = ( 69 × 18 × 184 ) / 138
LCM(69,18,184) = 228528 / 138
LCM(69,18,184) = 1656
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 688/69, 708/18, 669/184?
Answer: GCF of Numerators as per given numbers 688/69, 708/18, 669/184 is
GCF of Numerators i.e. for 688,708,669 is 1
LCM of denominators i.e. for 69,18,184 is 1656.
Thus, GCF of Fractions is 1/1656.Finally, GCF of Fractions for 688/69, 708/18, 669/184 is 1/1656.