Use our free GCF of Fractions Calculator tool to compute the GCF of 624/141, 354/412 i.e 6/58092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 624/141, 354/412.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 624/141,354/412
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 624/141,354/412, numerators are 624,354
Denominators are 141,412
The GCF of 624,354 is 6 .
LCM of 141,412 is 58092.
The greatest common factor of 624/141,354/412 = [GCF of 624,354]/[LCM of 141,412]= 6/58092
Therefore, the GCF of 624/141,354/412 is 6/58092.
To find the highest common factor of 624,354, we have to find the factors of both numbers and list the highest common factor.
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 factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354
The HCF of 624,354 is 6.
Lets's calculate GCF of 624,354
2 | 624, 354 |
3 | 312, 177 |
104, 59 |
∴ So the GCF of the given numbers is 2 x 3 = 6
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
Now, list down the factors of 354
:1,2,3,6,59,118,177,354
Greatest Common Factor
We found the factors 624,354 . The biggest common factor number is the GCF number.
So the greatest common factor 624,354 is 6.
Lets's calculate LCM of 141,412
Given numbers has no common factors except 1. So, there LCM is their product i.e 58092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/58092
Therefore, the GCF of Fractions 624/141,354/412 is 6/58092
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 141,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(141,412) x common factors =1 x 1 = 1
LCM(141,412) = ( 141 × 412 ) / 1
LCM(141,412) = 58092 / 1
LCM(141,412) = 58092
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 624,354?
The HCF of 624,354 is 6
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 624/141, 354/412?
Answer: GCF of Numerators as per given numbers 624/141, 354/412 is
GCF of Numerators i.e. for 624,354 is 6
LCM of denominators i.e. for 141,412 is 58092.
Thus, GCF of Fractions is 6/58092.Finally, GCF of Fractions for 624/141, 354/412 is 6/58092.