GCF of 9164/202, 8758/462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9164/202, 8758/462 i.e 58/46662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9164/202, 8758/462.
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 9164/202,8758/462?
Given fractions are 9164/202,8758/462
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 9164/202,8758/462, numerators are 9164,8758
Denominators are 202,462
The GCF of 9164,8758 is 58 .
LCM of 202,462 is 46662.
The greatest common factor of 9164/202,8758/462 = [GCF of 9164,8758]/[LCM of 202,462]= 58/46662
Therefore, the GCF of 9164/202,8758/462 is 58/46662.
To find the highest common factor of 9164,8758, we have to find the factors of both numbers and list the highest common factor.
The factors of 9164 are 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164
The factors of 8758 are 1, 2, 29, 58, 151, 302, 4379, 8758
The HCF of 9164,8758 is 58.
Lets's calculate GCF of 9164,8758
| 2 | 9164, 8758 |
| 29 | 4582, 4379 |
| 158, 151 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 9164,8758 By Matching Biggest Common Factor Method
Now, list down the factors of 9164
:1,2,4,29,58,79,116,158,316,2291,4582,9164
Now, list down the factors of 8758
:1,2,29,58,151,302,4379,8758
Greatest Common Factor
We found the factors 9164,8758 . The biggest common factor number is the GCF number.
So the greatest common factor 9164,8758 is 58.
Lets's calculate LCM of 202,462
| 2 | 202, 462 |
| 101, 231 |
∴ So the LCM of the given numbers is 2 x 101 x 231 = 46662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/46662
Therefore, the GCF of Fractions 9164/202,8758/462 is 58/46662
Least Common Multiple of 202,462 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 202,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,462) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,462) x common factors =2 x 1 = 2
LCM(202,462) = ( 202 × 462 ) / 2
LCM(202,462) = 93324 / 2
LCM(202,462) = 46662
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FAQs on GCF of Fractions of 9164/202, 8758/462
1. What is the HCF of 9164,8758?
The HCF of 9164,8758 is 58
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 9164/202, 8758/462?
Answer: GCF of Numerators as per given numbers 9164/202, 8758/462 is
GCF of Numerators i.e. for 9164,8758 is 58
LCM of denominators i.e. for 202,462 is 46662.
Thus, GCF of Fractions is 58/46662.Finally, GCF of Fractions for 9164/202, 8758/462 is 58/46662.