Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8957/639,4351/597
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 8957,4351
Greatest Common Factor of Numerators i.e. GCF of 8957,4351 is 1 .
LCM of Denominators means LCM of 639,597 as per the given fractions.
LCM of 639,597 is 127161 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8957,4351
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8957
List of positive integer factors of 8957 that divides 8957 without a remainder.
1,13,53,169,689,8957
Factors of 4351
List of positive integer factors of 4351 that divides 4351 without a remainder.
1,19,229,4351
Greatest Common Factor
We found the factors 8957,4351 . The biggest common factor number is the GCF number.
So the greatest common factor 8957,4351 is 1.
Lets's calculate LCM of 639,597
3 | 639, 597 |
213, 199 |
∴ So the LCM of the given numbers is 3 x 213 x 199 = 127161
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127161
Therefore, the GCF of Fractions 8957/639,4351/597 is 1/127161
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 639,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,597) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(639,597) x common factors =3 x 1 = 3
LCM(639,597) = ( 639 × 597 ) / 3
LCM(639,597) = 381483 / 3
LCM(639,597) = 127161
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 8957/639, 4351/597?
Answer: GCF of Numerators as per given numbers 8957/639, 4351/597 is
GCF of Numerators i.e. for 8957,4351 is 1
LCM of denominators i.e. for 639,597 is 127161.
Thus, GCF of Fractions is 1/127161.Finally, GCF of Fractions for 8957/639, 4351/597 is 1/127161.