Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 255/692,147/277,402/834
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 255,147,402
Greatest Common Factor of Numerators i.e. GCF of 255,147,402 is 3 .
LCM of Denominators means LCM of 692,277,834 as per the given fractions.
LCM of 692,277,834 is 79932228 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 255,147,402
3 | 255, 147, 402 |
85, 49, 134 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Greatest Common Factor
We found the factors 255,147,402 . The biggest common factor number is the GCF number.
So the greatest common factor 255,147,402 is 3.
Lets's calculate LCM of 692,277,834
2 | 692, 277, 834 |
346, 277, 417 |
∴ So the LCM of the given numbers is 2 x 346 x 277 x 417 = 79932228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/79932228
Therefore, the GCF of Fractions 255/692,147/277,402/834 is 3/79932228
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 692,277,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,277,834) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(692,277,834) x common factors =1 x 2 = 2
LCM(692,277,834) = ( 692 × 277 × 834 ) / 2
LCM(692,277,834) = 159864456 / 2
LCM(692,277,834) = 79932228
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 255/692, 147/277, 402/834?
Answer: GCF of Numerators as per given numbers 255/692, 147/277, 402/834 is
GCF of Numerators i.e. for 255,147,402 is 3
LCM of denominators i.e. for 692,277,834 is 79932228.
Thus, GCF of Fractions is 3/79932228.Finally, GCF of Fractions for 255/692, 147/277, 402/834 is 3/79932228.