GCF of 621/394, 4571/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 621/394, 4571/974 i.e 1/191878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 621/394, 4571/974.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 621/394,4571/974?
Given fractions are 621/394,4571/974
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 621/394,4571/974, numerators are 621,4571
Denominators are 394,974
The GCF of 621,4571 is 1 .
LCM of 394,974 is 191878.
The greatest common factor of 621/394,4571/974 = [GCF of 621,4571]/[LCM of 394,974]= 1/191878
Therefore, the GCF of 621/394,4571/974 is 1/191878.
To find the highest common factor of 621,4571, we have to find the factors of both numbers and list the highest common factor.
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621
The factors of 4571 are 1, 7, 653, 4571
The HCF of 621,4571 is 1.
Lets's calculate GCF of 621,4571
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 621,4571 By Matching Biggest Common Factor Method
Now, list down the factors of 621
:1,3,9,23,27,69,207,621
Now, list down the factors of 4571
:1,7,653,4571
Greatest Common Factor
We found the factors 621,4571 . The biggest common factor number is the GCF number.
So the greatest common factor 621,4571 is 1.
Lets's calculate LCM of 394,974
| 2 | 394, 974 |
| 197, 487 |
∴ So the LCM of the given numbers is 2 x 197 x 487 = 191878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191878
Therefore, the GCF of Fractions 621/394,4571/974 is 1/191878
Least Common Multiple of 394,974 with GCF Formula
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 394,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,974) x common factors =2 x 1 = 2
LCM(394,974) = ( 394 × 974 ) / 2
LCM(394,974) = 383756 / 2
LCM(394,974) = 191878
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FAQs on GCF of Fractions of 621/394, 4571/974
1. What is the HCF of 621,4571?
The HCF of 621,4571 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 621/394, 4571/974?
Answer: GCF of Numerators as per given numbers 621/394, 4571/974 is
GCF of Numerators i.e. for 621,4571 is 1
LCM of denominators i.e. for 394,974 is 191878.
Thus, GCF of Fractions is 1/191878.Finally, GCF of Fractions for 621/394, 4571/974 is 1/191878.