GCF of 50/692, 84/692, 311/305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 50/692, 84/692, 311/305 i.e 1/211060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/692, 84/692, 311/305.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 50/692,84/692,311/305?
Given fractions are 50/692,84/692,311/305
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 50/692,84/692,311/305, numerators are 50,84,311
Denominators are 692,692,305
The GCF of 50,84,311 is 1 .
LCM of 692,692,305 is 211060.
The greatest common factor of 50/692,84/692,311/305 = [GCF of 50,84,311]/[LCM of 692,692,305]= 1/211060
Therefore, the GCF of 50/692,84/692,311/305 is 1/211060.
To find the highest common factor of 50,84,311, we have to find the factors of both numbers and list the highest common factor.
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 311 are 1, 311
The HCF of 50,84,311 is 1.
Lets's calculate GCF of 50,84,311
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 50,84,311 By Matching Biggest Common Factor Method
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 84
:1,2,3,4,6,7,12,14,21,28,42,84
Now, list down the factors of 311
:1,311
Greatest Common Factor
We found the factors 50,84,311 . The biggest common factor number is the GCF number.
So the greatest common factor 50,84,311 is 1.
Lets's calculate LCM of 692,692,305
| 2 | 692, 692, 305 |
| 2 | 346, 346, 305 |
| 173 | 173, 173, 305 |
| 1, 1, 305 |
∴ So the LCM of the given numbers is 2 x 2 x 173 x 1 x 1 x 305 = 211060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211060
Therefore, the GCF of Fractions 50/692,84/692,311/305 is 1/211060
Least Common Multiple of 692,692,305 with GCF Formula
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 692,692,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,692,305) = 1
common factors(in case of two or more numbers have common factors) = 692
GCF(692,692,305) x common factors =1 x 692 = 692
LCM(692,692,305) = ( 692 × 692 × 305 ) / 692
LCM(692,692,305) = 146053520 / 692
LCM(692,692,305) = 211060
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 50/692, 84/692, 311/305
1. What is the HCF of 50,84,311?
The HCF of 50,84,311 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 50/692, 84/692, 311/305?
Answer: GCF of Numerators as per given numbers 50/692, 84/692, 311/305 is
GCF of Numerators i.e. for 50,84,311 is 1
LCM of denominators i.e. for 692,692,305 is 211060.
Thus, GCF of Fractions is 1/211060.Finally, GCF of Fractions for 50/692, 84/692, 311/305 is 1/211060.