Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3575/93,7074/922
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 3575,7074
Greatest Common Factor of Numerators i.e. GCF of 3575,7074 is 1 .
LCM of Denominators means LCM of 93,922 as per the given fractions.
LCM of 93,922 is 85746 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3575,7074
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3575
List of positive integer factors of 3575 that divides 3575 without a remainder.
1,5,11,13,25,55,65,143,275,325,715,3575
Factors of 7074
List of positive integer factors of 7074 that divides 7074 without a remainder.
1,2,3,6,9,18,27,54,131,262,393,786,1179,2358,3537,7074
Greatest Common Factor
We found the factors 3575,7074 . The biggest common factor number is the GCF number.
So the greatest common factor 3575,7074 is 1.
Lets's calculate LCM of 93,922
Given numbers has no common factors except 1. So, there LCM is their product i.e 85746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85746
Therefore, the GCF of Fractions 3575/93,7074/922 is 1/85746
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 93,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,922) x common factors =1 x 1 = 1
LCM(93,922) = ( 93 × 922 ) / 1
LCM(93,922) = 85746 / 1
LCM(93,922) = 85746
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 3575/93, 7074/922?
Answer: GCF of Numerators as per given numbers 3575/93, 7074/922 is
GCF of Numerators i.e. for 3575,7074 is 1
LCM of denominators i.e. for 93,922 is 85746.
Thus, GCF of Fractions is 1/85746.Finally, GCF of Fractions for 3575/93, 7074/922 is 1/85746.