Use our free GCF of Fractions Calculator tool to compute the GCF of 884/278, 692/973 i.e 4/1946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/278, 692/973.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 884/278,692/973
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 884/278,692/973, numerators are 884,692
Denominators are 278,973
The GCF of 884,692 is 4 .
LCM of 278,973 is 1946.
The greatest common factor of 884/278,692/973 = [GCF of 884,692]/[LCM of 278,973]= 4/1946
Therefore, the GCF of 884/278,692/973 is 4/1946.
To find the highest common factor of 884,692, we have to find the factors of both numbers and list the highest common factor.
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
The factors of 692 are 1, 2, 4, 173, 346, 692
The HCF of 884,692 is 4.
Lets's calculate GCF of 884,692
2 | 884, 692 |
2 | 442, 346 |
221, 173 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 884
:1,2,4,13,17,26,34,52,68,221,442,884
Now, list down the factors of 692
:1,2,4,173,346,692
Greatest Common Factor
We found the factors 884,692 . The biggest common factor number is the GCF number.
So the greatest common factor 884,692 is 4.
Lets's calculate LCM of 278,973
139 | 278, 973 |
2, 7 |
∴ So the LCM of the given numbers is 139 x 2 x 7 = 1946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1946
Therefore, the GCF of Fractions 884/278,692/973 is 4/1946
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 278,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,973) = 139
common factors(in case of two or more numbers have common factors) = 1
GCF(278,973) x common factors =139 x 1 = 139
LCM(278,973) = ( 278 × 973 ) / 139
LCM(278,973) = 270494 / 139
LCM(278,973) = 1946
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 884,692?
The HCF of 884,692 is 4
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 884/278, 692/973?
Answer: GCF of Numerators as per given numbers 884/278, 692/973 is
GCF of Numerators i.e. for 884,692 is 4
LCM of denominators i.e. for 278,973 is 1946.
Thus, GCF of Fractions is 4/1946.Finally, GCF of Fractions for 884/278, 692/973 is 4/1946.