GCF of 767/463, 8819/423
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 767/463, 8819/423 i.e 1/195849 easily. The following is the detailed procedure to determine the greatest common factor of fractions 767/463, 8819/423.
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 767/463,8819/423?
Given fractions are 767/463,8819/423
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 767/463,8819/423, numerators are 767,8819
Denominators are 463,423
The GCF of 767,8819 is 1 .
LCM of 463,423 is 195849.
The greatest common factor of 767/463,8819/423 = [GCF of 767,8819]/[LCM of 463,423]= 1/195849
Therefore, the GCF of 767/463,8819/423 is 1/195849.
To find the highest common factor of 767,8819, we have to find the factors of both numbers and list the highest common factor.
The factors of 767 are 1, 13, 59, 767
The factors of 8819 are 1, 8819
The HCF of 767,8819 is 1.
Lets's calculate GCF of 767,8819
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 767,8819 By Matching Biggest Common Factor Method
Now, list down the factors of 767
:1,13,59,767
Now, list down the factors of 8819
:1,8819
Greatest Common Factor
We found the factors 767,8819 . The biggest common factor number is the GCF number.
So the greatest common factor 767,8819 is 1.
Lets's calculate LCM of 463,423
Given numbers has no common factors except 1. So, there LCM is their product i.e 195849
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195849
Therefore, the GCF of Fractions 767/463,8819/423 is 1/195849
Least Common Multiple of 463,423 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 463,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,423) x common factors =1 x 1 = 1
LCM(463,423) = ( 463 × 423 ) / 1
LCM(463,423) = 195849 / 1
LCM(463,423) = 195849
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FAQs on GCF of Fractions of 767/463, 8819/423
1. What is the HCF of 767,8819?
The HCF of 767,8819 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 767/463, 8819/423?
Answer: GCF of Numerators as per given numbers 767/463, 8819/423 is
GCF of Numerators i.e. for 767,8819 is 1
LCM of denominators i.e. for 463,423 is 195849.
Thus, GCF of Fractions is 1/195849.Finally, GCF of Fractions for 767/463, 8819/423 is 1/195849.