GCF of 57/28, 461/18, 637/421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 57/28, 461/18, 637/421 i.e 1/106092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 57/28, 461/18, 637/421.
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 57/28,461/18,637/421?
Given fractions are 57/28,461/18,637/421
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 57/28,461/18,637/421, numerators are 57,461,637
Denominators are 28,18,421
The GCF of 57,461,637 is 1 .
LCM of 28,18,421 is 106092.
The greatest common factor of 57/28,461/18,637/421 = [GCF of 57,461,637]/[LCM of 28,18,421]= 1/106092
Therefore, the GCF of 57/28,461/18,637/421 is 1/106092.
To find the highest common factor of 57,461,637, we have to find the factors of both numbers and list the highest common factor.
The factors of 57 are 1, 3, 19, 57
The factors of 461 are 1, 461
The factors of 637 are 1, 7, 13, 49, 91, 637
The HCF of 57,461,637 is 1.
Lets's calculate GCF of 57,461,637
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 57,461,637 By Matching Biggest Common Factor Method
Now, list down the factors of 57
:1,3,19,57
Now, list down the factors of 461
:1,461
Now, list down the factors of 637
:1,7,13,49,91,637
Greatest Common Factor
We found the factors 57,461,637 . The biggest common factor number is the GCF number.
So the greatest common factor 57,461,637 is 1.
Lets's calculate LCM of 28,18,421
| 2 | 28, 18, 421 |
| 14, 9, 421 |
∴ So the LCM of the given numbers is 2 x 14 x 9 x 421 = 106092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106092
Therefore, the GCF of Fractions 57/28,461/18,637/421 is 1/106092
Least Common Multiple of 28,18,421 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 28,18,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,18,421) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(28,18,421) x common factors =1 x 2 = 2
LCM(28,18,421) = ( 28 × 18 × 421 ) / 2
LCM(28,18,421) = 212184 / 2
LCM(28,18,421) = 106092
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FAQs on GCF of Fractions of 57/28, 461/18, 637/421
1. What is the HCF of 57,461,637?
The HCF of 57,461,637 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 57/28, 461/18, 637/421?
Answer: GCF of Numerators as per given numbers 57/28, 461/18, 637/421 is
GCF of Numerators i.e. for 57,461,637 is 1
LCM of denominators i.e. for 28,18,421 is 106092.
Thus, GCF of Fractions is 1/106092.Finally, GCF of Fractions for 57/28, 461/18, 637/421 is 1/106092.