Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 696/474,9851/546
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 696,9851
Greatest Common Factor of Numerators i.e. GCF of 696,9851 is 1 .
LCM of Denominators means LCM of 474,546 as per the given fractions.
LCM of 474,546 is 43134 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 696,9851
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 9851
List of positive integer factors of 9851 that divides 9851 without a remainder.
1,9851
Greatest Common Factor
We found the factors 696,9851 . The biggest common factor number is the GCF number.
So the greatest common factor 696,9851 is 1.
Lets's calculate LCM of 474,546
2 | 474, 546 |
3 | 237, 273 |
79, 91 |
∴ So the LCM of the given numbers is 2 x 3 x 79 x 91 = 43134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43134
Therefore, the GCF of Fractions 696/474,9851/546 is 1/43134
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 474,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,546) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(474,546) x common factors =6 x 1 = 6
LCM(474,546) = ( 474 × 546 ) / 6
LCM(474,546) = 258804 / 6
LCM(474,546) = 43134
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 696/474, 9851/546?
Answer: GCF of Numerators as per given numbers 696/474, 9851/546 is
GCF of Numerators i.e. for 696,9851 is 1
LCM of denominators i.e. for 474,546 is 43134.
Thus, GCF of Fractions is 1/43134.Finally, GCF of Fractions for 696/474, 9851/546 is 1/43134.