GCF of 8632/458, 9114/6721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8632/458, 9114/6721 i.e 2/3078218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8632/458, 9114/6721.
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 8632/458,9114/6721?
Given fractions are 8632/458,9114/6721
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 8632/458,9114/6721, numerators are 8632,9114
Denominators are 458,6721
The GCF of 8632,9114 is 2 .
LCM of 458,6721 is 3078218.
The greatest common factor of 8632/458,9114/6721 = [GCF of 8632,9114]/[LCM of 458,6721]= 2/3078218
Therefore, the GCF of 8632/458,9114/6721 is 2/3078218.
To find the highest common factor of 8632,9114, we have to find the factors of both numbers and list the highest common factor.
The factors of 8632 are 1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316, 8632
The factors of 9114 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 49, 62, 93, 98, 147, 186, 217, 294, 434, 651, 1302, 1519, 3038, 4557, 9114
The HCF of 8632,9114 is 2.
Lets's calculate GCF of 8632,9114
| 2 | 8632, 9114 |
| 4316, 4557 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8632,9114 By Matching Biggest Common Factor Method
Now, list down the factors of 8632
:1,2,4,8,13,26,52,83,104,166,332,664,1079,2158,4316,8632
Now, list down the factors of 9114
:1,2,3,6,7,14,21,31,42,49,62,93,98,147,186,217,294,434,651,1302,1519,3038,4557,9114
Greatest Common Factor
We found the factors 8632,9114 . The biggest common factor number is the GCF number.
So the greatest common factor 8632,9114 is 2.
Lets's calculate LCM of 458,6721
Given numbers has no common factors except 1. So, there LCM is their product i.e 3078218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3078218
Therefore, the GCF of Fractions 8632/458,9114/6721 is 2/3078218
Least Common Multiple of 458,6721 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 458,6721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,6721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(458,6721) x common factors =1 x 1 = 1
LCM(458,6721) = ( 458 × 6721 ) / 1
LCM(458,6721) = 3078218 / 1
LCM(458,6721) = 3078218
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FAQs on GCF of Fractions of 8632/458, 9114/6721
1. What is the HCF of 8632,9114?
The HCF of 8632,9114 is 2
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 8632/458, 9114/6721?
Answer: GCF of Numerators as per given numbers 8632/458, 9114/6721 is
GCF of Numerators i.e. for 8632,9114 is 2
LCM of denominators i.e. for 458,6721 is 3078218.
Thus, GCF of Fractions is 2/3078218.Finally, GCF of Fractions for 8632/458, 9114/6721 is 2/3078218.