GCF of 462/116, 8869/591
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 462/116, 8869/591 i.e 7/68556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 462/116, 8869/591.
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 462/116,8869/591?
Given fractions are 462/116,8869/591
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 462/116,8869/591, numerators are 462,8869
Denominators are 116,591
The GCF of 462,8869 is 7 .
LCM of 116,591 is 68556.
The greatest common factor of 462/116,8869/591 = [GCF of 462,8869]/[LCM of 116,591]= 7/68556
Therefore, the GCF of 462/116,8869/591 is 7/68556.
To find the highest common factor of 462,8869, we have to find the factors of both numbers and list the highest common factor.
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The factors of 8869 are 1, 7, 49, 181, 1267, 8869
The HCF of 462,8869 is 7.
Lets's calculate GCF of 462,8869
| 7 | 462, 8869 |
| 66, 1267 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 462,8869 By Matching Biggest Common Factor Method
Now, list down the factors of 462
:1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Now, list down the factors of 8869
:1,7,49,181,1267,8869
Greatest Common Factor
We found the factors 462,8869 . The biggest common factor number is the GCF number.
So the greatest common factor 462,8869 is 7.
Lets's calculate LCM of 116,591
Given numbers has no common factors except 1. So, there LCM is their product i.e 68556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/68556
Therefore, the GCF of Fractions 462/116,8869/591 is 7/68556
Least Common Multiple of 116,591 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 116,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,591) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(116,591) x common factors =1 x 1 = 1
LCM(116,591) = ( 116 × 591 ) / 1
LCM(116,591) = 68556 / 1
LCM(116,591) = 68556
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FAQs on GCF of Fractions of 462/116, 8869/591
1. What is the HCF of 462,8869?
The HCF of 462,8869 is 7
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 462/116, 8869/591?
Answer: GCF of Numerators as per given numbers 462/116, 8869/591 is
GCF of Numerators i.e. for 462,8869 is 7
LCM of denominators i.e. for 116,591 is 68556.
Thus, GCF of Fractions is 7/68556.Finally, GCF of Fractions for 462/116, 8869/591 is 7/68556.