GCF of 21/984, 51/842, 892/903
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 21/984, 51/842, 892/903 i.e 1/124693464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/984, 51/842, 892/903.
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 21/984,51/842,892/903?
Given fractions are 21/984,51/842,892/903
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 21/984,51/842,892/903, numerators are 21,51,892
Denominators are 984,842,903
The GCF of 21,51,892 is 1 .
LCM of 984,842,903 is 124693464.
The greatest common factor of 21/984,51/842,892/903 = [GCF of 21,51,892]/[LCM of 984,842,903]= 1/124693464
Therefore, the GCF of 21/984,51/842,892/903 is 1/124693464.
To find the highest common factor of 21,51,892, we have to find the factors of both numbers and list the highest common factor.
The factors of 21 are 1, 3, 7, 21
The factors of 51 are 1, 3, 17, 51
The factors of 892 are 1, 2, 4, 223, 446, 892
The HCF of 21,51,892 is 1.
Lets's calculate GCF of 21,51,892
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 21,51,892 By Matching Biggest Common Factor Method
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 51
:1,3,17,51
Now, list down the factors of 892
:1,2,4,223,446,892
Greatest Common Factor
We found the factors 21,51,892 . The biggest common factor number is the GCF number.
So the greatest common factor 21,51,892 is 1.
Lets's calculate LCM of 984,842,903
| 2 | 984, 842, 903 |
| 3 | 492, 421, 903 |
| 164, 421, 301 |
∴ So the LCM of the given numbers is 2 x 3 x 164 x 421 x 301 = 124693464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124693464
Therefore, the GCF of Fractions 21/984,51/842,892/903 is 1/124693464
Least Common Multiple of 984,842,903 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 984,842,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,842,903) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(984,842,903) x common factors =1 x 6 = 6
LCM(984,842,903) = ( 984 × 842 × 903 ) / 6
LCM(984,842,903) = 748160784 / 6
LCM(984,842,903) = 124693464
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FAQs on GCF of Fractions of 21/984, 51/842, 892/903
1. What is the HCF of 21,51,892?
The HCF of 21,51,892 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 21/984, 51/842, 892/903?
Answer: GCF of Numerators as per given numbers 21/984, 51/842, 892/903 is
GCF of Numerators i.e. for 21,51,892 is 1
LCM of denominators i.e. for 984,842,903 is 124693464.
Thus, GCF of Fractions is 1/124693464.Finally, GCF of Fractions for 21/984, 51/842, 892/903 is 1/124693464.