GCF of 5346/835, 2105/788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5346/835, 2105/788 i.e 1/657980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5346/835, 2105/788.
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 5346/835,2105/788?
Given fractions are 5346/835,2105/788
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 5346/835,2105/788, numerators are 5346,2105
Denominators are 835,788
The GCF of 5346,2105 is 1 .
LCM of 835,788 is 657980.
The greatest common factor of 5346/835,2105/788 = [GCF of 5346,2105]/[LCM of 835,788]= 1/657980
Therefore, the GCF of 5346/835,2105/788 is 1/657980.
To find the highest common factor of 5346,2105, we have to find the factors of both numbers and list the highest common factor.
The factors of 5346 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 891, 1782, 2673, 5346
The factors of 2105 are 1, 5, 421, 2105
The HCF of 5346,2105 is 1.
Lets's calculate GCF of 5346,2105
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5346,2105 By Matching Biggest Common Factor Method
Now, list down the factors of 5346
:1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346
Now, list down the factors of 2105
:1,5,421,2105
Greatest Common Factor
We found the factors 5346,2105 . The biggest common factor number is the GCF number.
So the greatest common factor 5346,2105 is 1.
Lets's calculate LCM of 835,788
Given numbers has no common factors except 1. So, there LCM is their product i.e 657980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/657980
Therefore, the GCF of Fractions 5346/835,2105/788 is 1/657980
Least Common Multiple of 835,788 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 835,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,788) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,788) x common factors =1 x 1 = 1
LCM(835,788) = ( 835 × 788 ) / 1
LCM(835,788) = 657980 / 1
LCM(835,788) = 657980
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FAQs on GCF of Fractions of 5346/835, 2105/788
1. What is the HCF of 5346,2105?
The HCF of 5346,2105 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 5346/835, 2105/788?
Answer: GCF of Numerators as per given numbers 5346/835, 2105/788 is
GCF of Numerators i.e. for 5346,2105 is 1
LCM of denominators i.e. for 835,788 is 657980.
Thus, GCF of Fractions is 1/657980.Finally, GCF of Fractions for 5346/835, 2105/788 is 1/657980.