GCF of 7809/774, 6469/961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7809/774, 6469/961 i.e 1/743814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7809/774, 6469/961.
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 7809/774,6469/961?
Given fractions are 7809/774,6469/961
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 7809/774,6469/961, numerators are 7809,6469
Denominators are 774,961
The GCF of 7809,6469 is 1 .
LCM of 774,961 is 743814.
The greatest common factor of 7809/774,6469/961 = [GCF of 7809,6469]/[LCM of 774,961]= 1/743814
Therefore, the GCF of 7809/774,6469/961 is 1/743814.
To find the highest common factor of 7809,6469, we have to find the factors of both numbers and list the highest common factor.
The factors of 7809 are 1, 3, 19, 57, 137, 411, 2603, 7809
The factors of 6469 are 1, 6469
The HCF of 7809,6469 is 1.
Lets's calculate GCF of 7809,6469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7809,6469 By Matching Biggest Common Factor Method
Now, list down the factors of 7809
:1,3,19,57,137,411,2603,7809
Now, list down the factors of 6469
:1,6469
Greatest Common Factor
We found the factors 7809,6469 . The biggest common factor number is the GCF number.
So the greatest common factor 7809,6469 is 1.
Lets's calculate LCM of 774,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 743814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/743814
Therefore, the GCF of Fractions 7809/774,6469/961 is 1/743814
Least Common Multiple of 774,961 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 774,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(774,961) x common factors =1 x 1 = 1
LCM(774,961) = ( 774 × 961 ) / 1
LCM(774,961) = 743814 / 1
LCM(774,961) = 743814
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FAQs on GCF of Fractions of 7809/774, 6469/961
1. What is the HCF of 7809,6469?
The HCF of 7809,6469 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 7809/774, 6469/961?
Answer: GCF of Numerators as per given numbers 7809/774, 6469/961 is
GCF of Numerators i.e. for 7809,6469 is 1
LCM of denominators i.e. for 774,961 is 743814.
Thus, GCF of Fractions is 1/743814.Finally, GCF of Fractions for 7809/774, 6469/961 is 1/743814.