Use our free GCF of Fractions Calculator tool to compute the GCF of 154/591, 624/693 i.e 2/136521 easily. The following is the detailed procedure to determine the greatest common factor of fractions 154/591, 624/693.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 154/591,624/693
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 154/591,624/693, numerators are 154,624
Denominators are 591,693
The GCF of 154,624 is 2 .
LCM of 591,693 is 136521.
The greatest common factor of 154/591,624/693 = [GCF of 154,624]/[LCM of 591,693]= 2/136521
Therefore, the GCF of 154/591,624/693 is 2/136521.
To find the highest common factor of 154,624, we have to find the factors of both numbers and list the highest common factor.
The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154
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 154,624 is 2.
Lets's calculate GCF of 154,624
2 | 154, 624 |
77, 312 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 154
:1,2,7,11,14,22,77,154
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 154,624 . The biggest common factor number is the GCF number.
So the greatest common factor 154,624 is 2.
Lets's calculate LCM of 591,693
3 | 591, 693 |
197, 231 |
∴ So the LCM of the given numbers is 3 x 197 x 231 = 136521
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136521
Therefore, the GCF of Fractions 154/591,624/693 is 2/136521
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 591,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,693) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(591,693) x common factors =3 x 1 = 3
LCM(591,693) = ( 591 × 693 ) / 3
LCM(591,693) = 409563 / 3
LCM(591,693) = 136521
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 154,624?
The HCF of 154,624 is 2
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 154/591, 624/693?
Answer: GCF of Numerators as per given numbers 154/591, 624/693 is
GCF of Numerators i.e. for 154,624 is 2
LCM of denominators i.e. for 591,693 is 136521.
Thus, GCF of Fractions is 2/136521.Finally, GCF of Fractions for 154/591, 624/693 is 2/136521.