GCF of 6683/159, 9761/503
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6683/159, 9761/503 i.e 1/79977 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6683/159, 9761/503.
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 6683/159,9761/503?
Given fractions are 6683/159,9761/503
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 6683/159,9761/503, numerators are 6683,9761
Denominators are 159,503
The GCF of 6683,9761 is 1 .
LCM of 159,503 is 79977.
The greatest common factor of 6683/159,9761/503 = [GCF of 6683,9761]/[LCM of 159,503]= 1/79977
Therefore, the GCF of 6683/159,9761/503 is 1/79977.
To find the highest common factor of 6683,9761, we have to find the factors of both numbers and list the highest common factor.
The factors of 6683 are 1, 41, 163, 6683
The factors of 9761 are 1, 43, 227, 9761
The HCF of 6683,9761 is 1.
Lets's calculate GCF of 6683,9761
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6683,9761 By Matching Biggest Common Factor Method
Now, list down the factors of 6683
:1,41,163,6683
Now, list down the factors of 9761
:1,43,227,9761
Greatest Common Factor
We found the factors 6683,9761 . The biggest common factor number is the GCF number.
So the greatest common factor 6683,9761 is 1.
Lets's calculate LCM of 159,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 79977
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79977
Therefore, the GCF of Fractions 6683/159,9761/503 is 1/79977
Least Common Multiple of 159,503 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 159,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,503) x common factors =1 x 1 = 1
LCM(159,503) = ( 159 × 503 ) / 1
LCM(159,503) = 79977 / 1
LCM(159,503) = 79977
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FAQs on GCF of Fractions of 6683/159, 9761/503
1. What is the HCF of 6683,9761?
The HCF of 6683,9761 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 6683/159, 9761/503?
Answer: GCF of Numerators as per given numbers 6683/159, 9761/503 is
GCF of Numerators i.e. for 6683,9761 is 1
LCM of denominators i.e. for 159,503 is 79977.
Thus, GCF of Fractions is 1/79977.Finally, GCF of Fractions for 6683/159, 9761/503 is 1/79977.