GCF of 2690/899, 5782/5187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2690/899, 5782/5187 i.e 2/4663113 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2690/899, 5782/5187.
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 2690/899,5782/5187?
Given fractions are 2690/899,5782/5187
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 2690/899,5782/5187, numerators are 2690,5782
Denominators are 899,5187
The GCF of 2690,5782 is 2 .
LCM of 899,5187 is 4663113.
The greatest common factor of 2690/899,5782/5187 = [GCF of 2690,5782]/[LCM of 899,5187]= 2/4663113
Therefore, the GCF of 2690/899,5782/5187 is 2/4663113.
To find the highest common factor of 2690,5782, we have to find the factors of both numbers and list the highest common factor.
The factors of 2690 are 1, 2, 5, 10, 269, 538, 1345, 2690
The factors of 5782 are 1, 2, 7, 14, 49, 59, 98, 118, 413, 826, 2891, 5782
The HCF of 2690,5782 is 2.
Lets's calculate GCF of 2690,5782
| 2 | 2690, 5782 |
| 1345, 2891 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2690,5782 By Matching Biggest Common Factor Method
Now, list down the factors of 2690
:1,2,5,10,269,538,1345,2690
Now, list down the factors of 5782
:1,2,7,14,49,59,98,118,413,826,2891,5782
Greatest Common Factor
We found the factors 2690,5782 . The biggest common factor number is the GCF number.
So the greatest common factor 2690,5782 is 2.
Lets's calculate LCM of 899,5187
Given numbers has no common factors except 1. So, there LCM is their product i.e 4663113
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4663113
Therefore, the GCF of Fractions 2690/899,5782/5187 is 2/4663113
Least Common Multiple of 899,5187 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 899,5187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,5187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,5187) x common factors =1 x 1 = 1
LCM(899,5187) = ( 899 × 5187 ) / 1
LCM(899,5187) = 4663113 / 1
LCM(899,5187) = 4663113
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FAQs on GCF of Fractions of 2690/899, 5782/5187
1. What is the HCF of 2690,5782?
The HCF of 2690,5782 is 2
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 2690/899, 5782/5187?
Answer: GCF of Numerators as per given numbers 2690/899, 5782/5187 is
GCF of Numerators i.e. for 2690,5782 is 2
LCM of denominators i.e. for 899,5187 is 4663113.
Thus, GCF of Fractions is 2/4663113.Finally, GCF of Fractions for 2690/899, 5782/5187 is 2/4663113.