GCF of 7767/817, 8336/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7767/817, 8336/678 i.e 1/553926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7767/817, 8336/678.
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 7767/817,8336/678?
Given fractions are 7767/817,8336/678
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 7767/817,8336/678, numerators are 7767,8336
Denominators are 817,678
The GCF of 7767,8336 is 1 .
LCM of 817,678 is 553926.
The greatest common factor of 7767/817,8336/678 = [GCF of 7767,8336]/[LCM of 817,678]= 1/553926
Therefore, the GCF of 7767/817,8336/678 is 1/553926.
To find the highest common factor of 7767,8336, we have to find the factors of both numbers and list the highest common factor.
The factors of 7767 are 1, 3, 9, 863, 2589, 7767
The factors of 8336 are 1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336
The HCF of 7767,8336 is 1.
Lets's calculate GCF of 7767,8336
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7767,8336 By Matching Biggest Common Factor Method
Now, list down the factors of 7767
:1,3,9,863,2589,7767
Now, list down the factors of 8336
:1,2,4,8,16,521,1042,2084,4168,8336
Greatest Common Factor
We found the factors 7767,8336 . The biggest common factor number is the GCF number.
So the greatest common factor 7767,8336 is 1.
Lets's calculate LCM of 817,678
Given numbers has no common factors except 1. So, there LCM is their product i.e 553926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/553926
Therefore, the GCF of Fractions 7767/817,8336/678 is 1/553926
Least Common Multiple of 817,678 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 817,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,678) x common factors =1 x 1 = 1
LCM(817,678) = ( 817 × 678 ) / 1
LCM(817,678) = 553926 / 1
LCM(817,678) = 553926
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FAQs on GCF of Fractions of 7767/817, 8336/678
1. What is the HCF of 7767,8336?
The HCF of 7767,8336 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 7767/817, 8336/678?
Answer: GCF of Numerators as per given numbers 7767/817, 8336/678 is
GCF of Numerators i.e. for 7767,8336 is 1
LCM of denominators i.e. for 817,678 is 553926.
Thus, GCF of Fractions is 1/553926.Finally, GCF of Fractions for 7767/817, 8336/678 is 1/553926.