Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 835/85,386/42,979/437
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 835,386,979
Greatest Common Factor of Numerators i.e. GCF of 835,386,979 is 1 .
LCM of Denominators means LCM of 85,42,437 as per the given fractions.
LCM of 85,42,437 is 1560090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 835,386,979
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Greatest Common Factor
We found the factors 835,386,979 . The biggest common factor number is the GCF number.
So the greatest common factor 835,386,979 is 1.
Lets's calculate LCM of 85,42,437
Given numbers has no common factors except 1. So, there LCM is their product i.e 1560090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1560090
Therefore, the GCF of Fractions 835/85,386/42,979/437 is 1/1560090
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 85,42,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,42,437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,42,437) x common factors =1 x 1 = 1
LCM(85,42,437) = ( 85 × 42 × 437 ) / 1
LCM(85,42,437) = 1560090 / 1
LCM(85,42,437) = 1560090
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 835/85, 386/42, 979/437?
Answer: GCF of Numerators as per given numbers 835/85, 386/42, 979/437 is
GCF of Numerators i.e. for 835,386,979 is 1
LCM of denominators i.e. for 85,42,437 is 1560090.
Thus, GCF of Fractions is 1/1560090.Finally, GCF of Fractions for 835/85, 386/42, 979/437 is 1/1560090.