GCF of 491/821, 6874/391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 491/821, 6874/391 i.e 491/321011 easily. The following is the detailed procedure to determine the greatest common factor of fractions 491/821, 6874/391.
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 491/821,6874/391?
Given fractions are 491/821,6874/391
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 491/821,6874/391, numerators are 491,6874
Denominators are 821,391
The GCF of 491,6874 is 491 .
LCM of 821,391 is 321011.
The greatest common factor of 491/821,6874/391 = [GCF of 491,6874]/[LCM of 821,391]= 491/321011
Therefore, the GCF of 491/821,6874/391 is 491/321011.
To find the highest common factor of 491,6874, we have to find the factors of both numbers and list the highest common factor.
The factors of 491 are 1, 491
The factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874
The HCF of 491,6874 is 491.
Lets's calculate GCF of 491,6874
| 491 | 491, 6874 |
| 1, 14 |
∴ So the GCF of the given numbers is 491 = 491
Greatest Common Factor of 491,6874 By Matching Biggest Common Factor Method
Now, list down the factors of 491
:1,491
Now, list down the factors of 6874
:1,2,7,14,491,982,3437,6874
Greatest Common Factor
We found the factors 491,6874 . The biggest common factor number is the GCF number.
So the greatest common factor 491,6874 is 491.
Lets's calculate LCM of 821,391
Given numbers has no common factors except 1. So, there LCM is their product i.e 321011
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 491/321011
Therefore, the GCF of Fractions 491/821,6874/391 is 491/321011
Least Common Multiple of 821,391 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 821,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,391) x common factors =1 x 1 = 1
LCM(821,391) = ( 821 × 391 ) / 1
LCM(821,391) = 321011 / 1
LCM(821,391) = 321011
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FAQs on GCF of Fractions of 491/821, 6874/391
1. What is the HCF of 491,6874?
The HCF of 491,6874 is 491
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 491/821, 6874/391?
Answer: GCF of Numerators as per given numbers 491/821, 6874/391 is
GCF of Numerators i.e. for 491,6874 is 491
LCM of denominators i.e. for 821,391 is 321011.
Thus, GCF of Fractions is 491/321011.Finally, GCF of Fractions for 491/821, 6874/391 is 491/321011.