Use our free GCF of Fractions Calculator tool to compute the GCF of 889/208, 692/384 i.e 1/4992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 889/208, 692/384.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 889/208,692/384
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 889/208,692/384, numerators are 889,692
Denominators are 208,384
The GCF of 889,692 is 1 .
LCM of 208,384 is 4992.
The greatest common factor of 889/208,692/384 = [GCF of 889,692]/[LCM of 208,384]= 1/4992
Therefore, the GCF of 889/208,692/384 is 1/4992.
To find the highest common factor of 889,692, we have to find the factors of both numbers and list the highest common factor.
The factors of 889 are 1, 7, 127, 889
The factors of 692 are 1, 2, 4, 173, 346, 692
The HCF of 889,692 is 1.
Lets's calculate GCF of 889,692
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 889
:1,7,127,889
Now, list down the factors of 692
:1,2,4,173,346,692
Greatest Common Factor
We found the factors 889,692 . The biggest common factor number is the GCF number.
So the greatest common factor 889,692 is 1.
Lets's calculate LCM of 208,384
2 | 208, 384 |
2 | 104, 192 |
2 | 52, 96 |
2 | 26, 48 |
13, 24 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 13 x 24 = 4992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4992
Therefore, the GCF of Fractions 889/208,692/384 is 1/4992
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 208,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,384) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(208,384) x common factors =16 x 1 = 16
LCM(208,384) = ( 208 × 384 ) / 16
LCM(208,384) = 79872 / 16
LCM(208,384) = 4992
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 889,692?
The HCF of 889,692 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 889/208, 692/384?
Answer: GCF of Numerators as per given numbers 889/208, 692/384 is
GCF of Numerators i.e. for 889,692 is 1
LCM of denominators i.e. for 208,384 is 4992.
Thus, GCF of Fractions is 1/4992.Finally, GCF of Fractions for 889/208, 692/384 is 1/4992.