Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5226/177,8276/210
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 5226,8276
Greatest Common Factor of Numerators i.e. GCF of 5226,8276 is 2 .
LCM of Denominators means LCM of 177,210 as per the given fractions.
LCM of 177,210 is 12390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5226,8276
2 | 5226, 8276 |
2613, 4138 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5226
List of positive integer factors of 5226 that divides 5226 without a remainder.
1,2,3,6,13,26,39,67,78,134,201,402,871,1742,2613,5226
Factors of 8276
List of positive integer factors of 8276 that divides 8276 without a remainder.
1,2,4,2069,4138,8276
Greatest Common Factor
We found the factors 5226,8276 . The biggest common factor number is the GCF number.
So the greatest common factor 5226,8276 is 2.
Lets's calculate LCM of 177,210
3 | 177, 210 |
59, 70 |
∴ So the LCM of the given numbers is 3 x 59 x 70 = 12390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12390
Therefore, the GCF of Fractions 5226/177,8276/210 is 2/12390
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 177,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,210) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(177,210) x common factors =3 x 1 = 3
LCM(177,210) = ( 177 × 210 ) / 3
LCM(177,210) = 37170 / 3
LCM(177,210) = 12390
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 5226/177, 8276/210?
Answer: GCF of Numerators as per given numbers 5226/177, 8276/210 is
GCF of Numerators i.e. for 5226,8276 is 2
LCM of denominators i.e. for 177,210 is 12390.
Thus, GCF of Fractions is 2/12390.Finally, GCF of Fractions for 5226/177, 8276/210 is 2/12390.