GCF of 8331/971, 7037/4834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8331/971, 7037/4834 i.e 1/4693814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8331/971, 7037/4834.
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 8331/971,7037/4834?
Given fractions are 8331/971,7037/4834
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 8331/971,7037/4834, numerators are 8331,7037
Denominators are 971,4834
The GCF of 8331,7037 is 1 .
LCM of 971,4834 is 4693814.
The greatest common factor of 8331/971,7037/4834 = [GCF of 8331,7037]/[LCM of 971,4834]= 1/4693814
Therefore, the GCF of 8331/971,7037/4834 is 1/4693814.
To find the highest common factor of 8331,7037, we have to find the factors of both numbers and list the highest common factor.
The factors of 8331 are 1, 3, 2777, 8331
The factors of 7037 are 1, 31, 227, 7037
The HCF of 8331,7037 is 1.
Lets's calculate GCF of 8331,7037
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8331,7037 By Matching Biggest Common Factor Method
Now, list down the factors of 8331
:1,3,2777,8331
Now, list down the factors of 7037
:1,31,227,7037
Greatest Common Factor
We found the factors 8331,7037 . The biggest common factor number is the GCF number.
So the greatest common factor 8331,7037 is 1.
Lets's calculate LCM of 971,4834
Given numbers has no common factors except 1. So, there LCM is their product i.e 4693814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4693814
Therefore, the GCF of Fractions 8331/971,7037/4834 is 1/4693814
Least Common Multiple of 971,4834 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 971,4834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,4834) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,4834) x common factors =1 x 1 = 1
LCM(971,4834) = ( 971 × 4834 ) / 1
LCM(971,4834) = 4693814 / 1
LCM(971,4834) = 4693814
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FAQs on GCF of Fractions of 8331/971, 7037/4834
1. What is the HCF of 8331,7037?
The HCF of 8331,7037 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 8331/971, 7037/4834?
Answer: GCF of Numerators as per given numbers 8331/971, 7037/4834 is
GCF of Numerators i.e. for 8331,7037 is 1
LCM of denominators i.e. for 971,4834 is 4693814.
Thus, GCF of Fractions is 1/4693814.Finally, GCF of Fractions for 8331/971, 7037/4834 is 1/4693814.