GCF of 8279/498, 6762/971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8279/498, 6762/971 i.e 1/483558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8279/498, 6762/971.
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 8279/498,6762/971?
Given fractions are 8279/498,6762/971
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 8279/498,6762/971, numerators are 8279,6762
Denominators are 498,971
The GCF of 8279,6762 is 1 .
LCM of 498,971 is 483558.
The greatest common factor of 8279/498,6762/971 = [GCF of 8279,6762]/[LCM of 498,971]= 1/483558
Therefore, the GCF of 8279/498,6762/971 is 1/483558.
To find the highest common factor of 8279,6762, we have to find the factors of both numbers and list the highest common factor.
The factors of 8279 are 1, 17, 487, 8279
The factors of 6762 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381, 6762
The HCF of 8279,6762 is 1.
Lets's calculate GCF of 8279,6762
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8279,6762 By Matching Biggest Common Factor Method
Now, list down the factors of 8279
:1,17,487,8279
Now, list down the factors of 6762
:1,2,3,6,7,14,21,23,42,46,49,69,98,138,147,161,294,322,483,966,1127,2254,3381,6762
Greatest Common Factor
We found the factors 8279,6762 . The biggest common factor number is the GCF number.
So the greatest common factor 8279,6762 is 1.
Lets's calculate LCM of 498,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 483558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/483558
Therefore, the GCF of Fractions 8279/498,6762/971 is 1/483558
Least Common Multiple of 498,971 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 498,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(498,971) x common factors =1 x 1 = 1
LCM(498,971) = ( 498 × 971 ) / 1
LCM(498,971) = 483558 / 1
LCM(498,971) = 483558
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FAQs on GCF of Fractions of 8279/498, 6762/971
1. What is the HCF of 8279,6762?
The HCF of 8279,6762 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 8279/498, 6762/971?
Answer: GCF of Numerators as per given numbers 8279/498, 6762/971 is
GCF of Numerators i.e. for 8279,6762 is 1
LCM of denominators i.e. for 498,971 is 483558.
Thus, GCF of Fractions is 1/483558.Finally, GCF of Fractions for 8279/498, 6762/971 is 1/483558.