GCF of 2769/835, 2806/774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2769/835, 2806/774 i.e 1/646290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2769/835, 2806/774.
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 2769/835,2806/774?
Given fractions are 2769/835,2806/774
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 2769/835,2806/774, numerators are 2769,2806
Denominators are 835,774
The GCF of 2769,2806 is 1 .
LCM of 835,774 is 646290.
The greatest common factor of 2769/835,2806/774 = [GCF of 2769,2806]/[LCM of 835,774]= 1/646290
Therefore, the GCF of 2769/835,2806/774 is 1/646290.
To find the highest common factor of 2769,2806, we have to find the factors of both numbers and list the highest common factor.
The factors of 2769 are 1, 3, 13, 39, 71, 213, 923, 2769
The factors of 2806 are 1, 2, 23, 46, 61, 122, 1403, 2806
The HCF of 2769,2806 is 1.
Lets's calculate GCF of 2769,2806
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2769,2806 By Matching Biggest Common Factor Method
Now, list down the factors of 2769
:1,3,13,39,71,213,923,2769
Now, list down the factors of 2806
:1,2,23,46,61,122,1403,2806
Greatest Common Factor
We found the factors 2769,2806 . The biggest common factor number is the GCF number.
So the greatest common factor 2769,2806 is 1.
Lets's calculate LCM of 835,774
Given numbers has no common factors except 1. So, there LCM is their product i.e 646290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/646290
Therefore, the GCF of Fractions 2769/835,2806/774 is 1/646290
Least Common Multiple of 835,774 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 835,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,774) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,774) x common factors =1 x 1 = 1
LCM(835,774) = ( 835 × 774 ) / 1
LCM(835,774) = 646290 / 1
LCM(835,774) = 646290
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FAQs on GCF of Fractions of 2769/835, 2806/774
1. What is the HCF of 2769,2806?
The HCF of 2769,2806 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 2769/835, 2806/774?
Answer: GCF of Numerators as per given numbers 2769/835, 2806/774 is
GCF of Numerators i.e. for 2769,2806 is 1
LCM of denominators i.e. for 835,774 is 646290.
Thus, GCF of Fractions is 1/646290.Finally, GCF of Fractions for 2769/835, 2806/774 is 1/646290.