GCF of 5931/691, 2286/2646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5931/691, 2286/2646 i.e 9/1828386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5931/691, 2286/2646.
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 5931/691,2286/2646?
Given fractions are 5931/691,2286/2646
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 5931/691,2286/2646, numerators are 5931,2286
Denominators are 691,2646
The GCF of 5931,2286 is 9 .
LCM of 691,2646 is 1828386.
The greatest common factor of 5931/691,2286/2646 = [GCF of 5931,2286]/[LCM of 691,2646]= 9/1828386
Therefore, the GCF of 5931/691,2286/2646 is 9/1828386.
To find the highest common factor of 5931,2286, we have to find the factors of both numbers and list the highest common factor.
The factors of 5931 are 1, 3, 9, 659, 1977, 5931
The factors of 2286 are 1, 2, 3, 6, 9, 18, 127, 254, 381, 762, 1143, 2286
The HCF of 5931,2286 is 9.
Lets's calculate GCF of 5931,2286
| 3 | 5931, 2286 |
| 3 | 1977, 762 |
| 659, 254 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5931,2286 By Matching Biggest Common Factor Method
Now, list down the factors of 5931
:1,3,9,659,1977,5931
Now, list down the factors of 2286
:1,2,3,6,9,18,127,254,381,762,1143,2286
Greatest Common Factor
We found the factors 5931,2286 . The biggest common factor number is the GCF number.
So the greatest common factor 5931,2286 is 9.
Lets's calculate LCM of 691,2646
Given numbers has no common factors except 1. So, there LCM is their product i.e 1828386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1828386
Therefore, the GCF of Fractions 5931/691,2286/2646 is 9/1828386
Least Common Multiple of 691,2646 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 691,2646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,2646) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,2646) x common factors =1 x 1 = 1
LCM(691,2646) = ( 691 × 2646 ) / 1
LCM(691,2646) = 1828386 / 1
LCM(691,2646) = 1828386
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FAQs on GCF of Fractions of 5931/691, 2286/2646
1. What is the HCF of 5931,2286?
The HCF of 5931,2286 is 9
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 5931/691, 2286/2646?
Answer: GCF of Numerators as per given numbers 5931/691, 2286/2646 is
GCF of Numerators i.e. for 5931,2286 is 9
LCM of denominators i.e. for 691,2646 is 1828386.
Thus, GCF of Fractions is 9/1828386.Finally, GCF of Fractions for 5931/691, 2286/2646 is 9/1828386.