GCF of 5851/258, 1722/966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5851/258, 1722/966 i.e 1/41538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5851/258, 1722/966.
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 5851/258,1722/966?
Given fractions are 5851/258,1722/966
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 5851/258,1722/966, numerators are 5851,1722
Denominators are 258,966
The GCF of 5851,1722 is 1 .
LCM of 258,966 is 41538.
The greatest common factor of 5851/258,1722/966 = [GCF of 5851,1722]/[LCM of 258,966]= 1/41538
Therefore, the GCF of 5851/258,1722/966 is 1/41538.
To find the highest common factor of 5851,1722, we have to find the factors of both numbers and list the highest common factor.
The factors of 5851 are 1, 5851
The factors of 1722 are 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722
The HCF of 5851,1722 is 1.
Lets's calculate GCF of 5851,1722
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5851,1722 By Matching Biggest Common Factor Method
Now, list down the factors of 5851
:1,5851
Now, list down the factors of 1722
:1,2,3,6,7,14,21,41,42,82,123,246,287,574,861,1722
Greatest Common Factor
We found the factors 5851,1722 . The biggest common factor number is the GCF number.
So the greatest common factor 5851,1722 is 1.
Lets's calculate LCM of 258,966
| 2 | 258, 966 |
| 3 | 129, 483 |
| 43, 161 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 161 = 41538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41538
Therefore, the GCF of Fractions 5851/258,1722/966 is 1/41538
Least Common Multiple of 258,966 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 258,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,966) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(258,966) x common factors =6 x 1 = 6
LCM(258,966) = ( 258 × 966 ) / 6
LCM(258,966) = 249228 / 6
LCM(258,966) = 41538
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FAQs on GCF of Fractions of 5851/258, 1722/966
1. What is the HCF of 5851,1722?
The HCF of 5851,1722 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 5851/258, 1722/966?
Answer: GCF of Numerators as per given numbers 5851/258, 1722/966 is
GCF of Numerators i.e. for 5851,1722 is 1
LCM of denominators i.e. for 258,966 is 41538.
Thus, GCF of Fractions is 1/41538.Finally, GCF of Fractions for 5851/258, 1722/966 is 1/41538.