Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 677/13,196/58,546/338
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 677,196,546
Greatest Common Factor of Numerators i.e. GCF of 677,196,546 is 1 .
LCM of Denominators means LCM of 13,58,338 as per the given fractions.
LCM of 13,58,338 is 9802 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 677,196,546
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 677,196,546 . The biggest common factor number is the GCF number.
So the greatest common factor 677,196,546 is 1.
Lets's calculate LCM of 13,58,338
2 | 13, 58, 338 |
13 | 13, 29, 169 |
1, 29, 13 |
∴ So the LCM of the given numbers is 2 x 13 x 1 x 29 x 13 = 9802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9802
Therefore, the GCF of Fractions 677/13,196/58,546/338 is 1/9802
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 13,58,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,58,338) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(13,58,338) x common factors =1 x 26 = 26
LCM(13,58,338) = ( 13 × 58 × 338 ) / 26
LCM(13,58,338) = 254852 / 26
LCM(13,58,338) = 9802
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 677/13, 196/58, 546/338?
Answer: GCF of Numerators as per given numbers 677/13, 196/58, 546/338 is
GCF of Numerators i.e. for 677,196,546 is 1
LCM of denominators i.e. for 13,58,338 is 9802.
Thus, GCF of Fractions is 1/9802.Finally, GCF of Fractions for 677/13, 196/58, 546/338 is 1/9802.