Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 672/177,747/110,741/941
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 672,747,741
Greatest Common Factor of Numerators i.e. GCF of 672,747,741 is 3 .
LCM of Denominators means LCM of 177,110,941 as per the given fractions.
LCM of 177,110,941 is 18321270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 672,747,741
3 | 672, 747, 741 |
224, 249, 247 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Greatest Common Factor
We found the factors 672,747,741 . The biggest common factor number is the GCF number.
So the greatest common factor 672,747,741 is 3.
Lets's calculate LCM of 177,110,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 18321270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18321270
Therefore, the GCF of Fractions 672/177,747/110,741/941 is 3/18321270
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 177,110,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,110,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(177,110,941) x common factors =1 x 1 = 1
LCM(177,110,941) = ( 177 × 110 × 941 ) / 1
LCM(177,110,941) = 18321270 / 1
LCM(177,110,941) = 18321270
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 672/177, 747/110, 741/941?
Answer: GCF of Numerators as per given numbers 672/177, 747/110, 741/941 is
GCF of Numerators i.e. for 672,747,741 is 3
LCM of denominators i.e. for 177,110,941 is 18321270.
Thus, GCF of Fractions is 3/18321270.Finally, GCF of Fractions for 672/177, 747/110, 741/941 is 3/18321270.