Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 292/51,532/74,738/127
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 292,532,738
Greatest Common Factor of Numerators i.e. GCF of 292,532,738 is 2 .
LCM of Denominators means LCM of 51,74,127 as per the given fractions.
LCM of 51,74,127 is 479298 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 292,532,738
2 | 292, 532, 738 |
146, 266, 369 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Greatest Common Factor
We found the factors 292,532,738 . The biggest common factor number is the GCF number.
So the greatest common factor 292,532,738 is 2.
Lets's calculate LCM of 51,74,127
Given numbers has no common factors except 1. So, there LCM is their product i.e 479298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/479298
Therefore, the GCF of Fractions 292/51,532/74,738/127 is 2/479298
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 51,74,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,74,127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,74,127) x common factors =1 x 1 = 1
LCM(51,74,127) = ( 51 × 74 × 127 ) / 1
LCM(51,74,127) = 479298 / 1
LCM(51,74,127) = 479298
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 292/51, 532/74, 738/127?
Answer: GCF of Numerators as per given numbers 292/51, 532/74, 738/127 is
GCF of Numerators i.e. for 292,532,738 is 2
LCM of denominators i.e. for 51,74,127 is 479298.
Thus, GCF of Fractions is 2/479298.Finally, GCF of Fractions for 292/51, 532/74, 738/127 is 2/479298.