Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 359/770,1117/3151
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 359,1117
Greatest Common Factor of Numerators i.e. GCF of 359,1117 is 1 .
LCM of Denominators means LCM of 770,3151 as per the given fractions.
LCM of 770,3151 is 2426270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 359,1117
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Factors of 1117
List of positive integer factors of 1117 that divides 1117 without a remainder.
1,1117
Greatest Common Factor
We found the factors 359,1117 . The biggest common factor number is the GCF number.
So the greatest common factor 359,1117 is 1.
Lets's calculate LCM of 770,3151
Given numbers has no common factors except 1. So, there LCM is their product i.e 2426270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2426270
Therefore, the GCF of Fractions 359/770,1117/3151 is 1/2426270
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 770,3151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,3151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(770,3151) x common factors =1 x 1 = 1
LCM(770,3151) = ( 770 × 3151 ) / 1
LCM(770,3151) = 2426270 / 1
LCM(770,3151) = 2426270
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 359/770, 1117/3151?
Answer: GCF of Numerators as per given numbers 359/770, 1117/3151 is
GCF of Numerators i.e. for 359,1117 is 1
LCM of denominators i.e. for 770,3151 is 2426270.
Thus, GCF of Fractions is 1/2426270.Finally, GCF of Fractions for 359/770, 1117/3151 is 1/2426270.