Use our free GCF of Fractions Calculator tool to compute the GCF of 567/360, 708/464 i.e 3/20880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 567/360, 708/464.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 567/360,708/464
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 567/360,708/464, numerators are 567,708
Denominators are 360,464
The GCF of 567,708 is 3 .
LCM of 360,464 is 20880.
The greatest common factor of 567/360,708/464 = [GCF of 567,708]/[LCM of 360,464]= 3/20880
Therefore, the GCF of 567/360,708/464 is 3/20880.
To find the highest common factor of 567,708, we have to find the factors of both numbers and list the highest common factor.
The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
The HCF of 567,708 is 3.
Lets's calculate GCF of 567,708
3 | 567, 708 |
189, 236 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 567
:1,3,7,9,21,27,63,81,189,567
Now, list down the factors of 708
:1,2,3,4,6,12,59,118,177,236,354,708
Greatest Common Factor
We found the factors 567,708 . The biggest common factor number is the GCF number.
So the greatest common factor 567,708 is 3.
Lets's calculate LCM of 360,464
2 | 360, 464 |
2 | 180, 232 |
2 | 90, 116 |
45, 58 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 45 x 58 = 20880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20880
Therefore, the GCF of Fractions 567/360,708/464 is 3/20880
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 360,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,464) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(360,464) x common factors =8 x 1 = 8
LCM(360,464) = ( 360 × 464 ) / 8
LCM(360,464) = 167040 / 8
LCM(360,464) = 20880
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 567,708?
The HCF of 567,708 is 3
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 567/360, 708/464?
Answer: GCF of Numerators as per given numbers 567/360, 708/464 is
GCF of Numerators i.e. for 567,708 is 3
LCM of denominators i.e. for 360,464 is 20880.
Thus, GCF of Fractions is 3/20880.Finally, GCF of Fractions for 567/360, 708/464 is 3/20880.