Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7097/154,4745/924
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 7097,4745
Greatest Common Factor of Numerators i.e. GCF of 7097,4745 is 1 .
LCM of Denominators means LCM of 154,924 as per the given fractions.
LCM of 154,924 is 924 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7097,4745
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7097
List of positive integer factors of 7097 that divides 7097 without a remainder.
1,47,151,7097
Factors of 4745
List of positive integer factors of 4745 that divides 4745 without a remainder.
1,5,13,65,73,365,949,4745
Greatest Common Factor
We found the factors 7097,4745 . The biggest common factor number is the GCF number.
So the greatest common factor 7097,4745 is 1.
Lets's calculate LCM of 154,924
2 | 154, 924 |
7 | 77, 462 |
11 | 11, 66 |
1, 6 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 1 x 6 = 924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/924
Therefore, the GCF of Fractions 7097/154,4745/924 is 1/924
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 154,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,924) = 154
common factors(in case of two or more numbers have common factors) = 1
GCF(154,924) x common factors =154 x 1 = 154
LCM(154,924) = ( 154 × 924 ) / 154
LCM(154,924) = 142296 / 154
LCM(154,924) = 924
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 7097/154, 4745/924?
Answer: GCF of Numerators as per given numbers 7097/154, 4745/924 is
GCF of Numerators i.e. for 7097,4745 is 1
LCM of denominators i.e. for 154,924 is 924.
Thus, GCF of Fractions is 1/924.Finally, GCF of Fractions for 7097/154, 4745/924 is 1/924.