Use our free GCF of Fractions Calculator tool to compute the GCF of 545/468, 624/675 i.e 1/35100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 545/468, 624/675.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 545/468,624/675
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 545/468,624/675, numerators are 545,624
Denominators are 468,675
The GCF of 545,624 is 1 .
LCM of 468,675 is 35100.
The greatest common factor of 545/468,624/675 = [GCF of 545,624]/[LCM of 468,675]= 1/35100
Therefore, the GCF of 545/468,624/675 is 1/35100.
To find the highest common factor of 545,624, we have to find the factors of both numbers and list the highest common factor.
The factors of 545 are 1, 5, 109, 545
The factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
The HCF of 545,624 is 1.
Lets's calculate GCF of 545,624
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 545
:1,5,109,545
Now, list down the factors of 624
:1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 545,624 . The biggest common factor number is the GCF number.
So the greatest common factor 545,624 is 1.
Lets's calculate LCM of 468,675
3 | 468, 675 |
3 | 156, 225 |
52, 75 |
∴ So the LCM of the given numbers is 3 x 3 x 52 x 75 = 35100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35100
Therefore, the GCF of Fractions 545/468,624/675 is 1/35100
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 468,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,675) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(468,675) x common factors =9 x 1 = 9
LCM(468,675) = ( 468 × 675 ) / 9
LCM(468,675) = 315900 / 9
LCM(468,675) = 35100
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 545,624?
The HCF of 545,624 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 545/468, 624/675?
Answer: GCF of Numerators as per given numbers 545/468, 624/675 is
GCF of Numerators i.e. for 545,624 is 1
LCM of denominators i.e. for 468,675 is 35100.
Thus, GCF of Fractions is 1/35100.Finally, GCF of Fractions for 545/468, 624/675 is 1/35100.