Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 840/107,731/304
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 840,731
Greatest Common Factor of Numerators i.e. GCF of 840,731 is 1 .
LCM of Denominators means LCM of 107,304 as per the given fractions.
LCM of 107,304 is 32528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 840,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Greatest Common Factor
We found the factors 840,731 . The biggest common factor number is the GCF number.
So the greatest common factor 840,731 is 1.
Lets's calculate LCM of 107,304
Given numbers has no common factors except 1. So, there LCM is their product i.e 32528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32528
Therefore, the GCF of Fractions 840/107,731/304 is 1/32528
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 107,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,304) x common factors =1 x 1 = 1
LCM(107,304) = ( 107 × 304 ) / 1
LCM(107,304) = 32528 / 1
LCM(107,304) = 32528
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 840/107, 731/304?
Answer: GCF of Numerators as per given numbers 840/107, 731/304 is
GCF of Numerators i.e. for 840,731 is 1
LCM of denominators i.e. for 107,304 is 32528.
Thus, GCF of Fractions is 1/32528.Finally, GCF of Fractions for 840/107, 731/304 is 1/32528.