GCF of 208/789, 4931/6312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 208/789, 4931/6312 i.e 1/6312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 208/789, 4931/6312.
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 208/789,4931/6312?
Given fractions are 208/789,4931/6312
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 208/789,4931/6312, numerators are 208,4931
Denominators are 789,6312
The GCF of 208,4931 is 1 .
LCM of 789,6312 is 6312.
The greatest common factor of 208/789,4931/6312 = [GCF of 208,4931]/[LCM of 789,6312]= 1/6312
Therefore, the GCF of 208/789,4931/6312 is 1/6312.
To find the highest common factor of 208,4931, we have to find the factors of both numbers and list the highest common factor.
The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
The factors of 4931 are 1, 4931
The HCF of 208,4931 is 1.
Lets's calculate GCF of 208,4931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 208,4931 By Matching Biggest Common Factor Method
Now, list down the factors of 208
:1,2,4,8,13,16,26,52,104,208
Now, list down the factors of 4931
:1,4931
Greatest Common Factor
We found the factors 208,4931 . The biggest common factor number is the GCF number.
So the greatest common factor 208,4931 is 1.
Lets's calculate LCM of 789,6312
| 3 | 789, 6312 |
| 263 | 263, 2104 |
| 1, 8 |
∴ So the LCM of the given numbers is 3 x 263 x 1 x 8 = 6312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6312
Therefore, the GCF of Fractions 208/789,4931/6312 is 1/6312
Least Common Multiple of 789,6312 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 789,6312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,6312) = 789
common factors(in case of two or more numbers have common factors) = 1
GCF(789,6312) x common factors =789 x 1 = 789
LCM(789,6312) = ( 789 × 6312 ) / 789
LCM(789,6312) = 4980168 / 789
LCM(789,6312) = 6312
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 208/789, 4931/6312
1. What is the HCF of 208,4931?
The HCF of 208,4931 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 208/789, 4931/6312?
Answer: GCF of Numerators as per given numbers 208/789, 4931/6312 is
GCF of Numerators i.e. for 208,4931 is 1
LCM of denominators i.e. for 789,6312 is 6312.
Thus, GCF of Fractions is 1/6312.Finally, GCF of Fractions for 208/789, 4931/6312 is 1/6312.