Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 980/49,843/93,840/953
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 980,843,840
Greatest Common Factor of Numerators i.e. GCF of 980,843,840 is 1 .
LCM of Denominators means LCM of 49,93,953 as per the given fractions.
LCM of 49,93,953 is 4342821 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 980,843,840
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
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
Greatest Common Factor
We found the factors 980,843,840 . The biggest common factor number is the GCF number.
So the greatest common factor 980,843,840 is 1.
Lets's calculate LCM of 49,93,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 4342821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4342821
Therefore, the GCF of Fractions 980/49,843/93,840/953 is 1/4342821
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 49,93,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,93,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,93,953) x common factors =1 x 1 = 1
LCM(49,93,953) = ( 49 × 93 × 953 ) / 1
LCM(49,93,953) = 4342821 / 1
LCM(49,93,953) = 4342821
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 980/49, 843/93, 840/953?
Answer: GCF of Numerators as per given numbers 980/49, 843/93, 840/953 is
GCF of Numerators i.e. for 980,843,840 is 1
LCM of denominators i.e. for 49,93,953 is 4342821.
Thus, GCF of Fractions is 1/4342821.Finally, GCF of Fractions for 980/49, 843/93, 840/953 is 1/4342821.