Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 692/412,835/151
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 692,835
Greatest Common Factor of Numerators i.e. GCF of 692,835 is 1 .
LCM of Denominators means LCM of 412,151 as per the given fractions.
LCM of 412,151 is 62212 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 692,835
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Greatest Common Factor
We found the factors 692,835 . The biggest common factor number is the GCF number.
So the greatest common factor 692,835 is 1.
Lets's calculate LCM of 412,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 62212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62212
Therefore, the GCF of Fractions 692/412,835/151 is 1/62212
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 412,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(412,151) x common factors =1 x 1 = 1
LCM(412,151) = ( 412 × 151 ) / 1
LCM(412,151) = 62212 / 1
LCM(412,151) = 62212
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 692/412, 835/151?
Answer: GCF of Numerators as per given numbers 692/412, 835/151 is
GCF of Numerators i.e. for 692,835 is 1
LCM of denominators i.e. for 412,151 is 62212.
Thus, GCF of Fractions is 1/62212.Finally, GCF of Fractions for 692/412, 835/151 is 1/62212.