GCF of 9418/128, 8458/976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9418/128, 8458/976 i.e 2/7808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9418/128, 8458/976.
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 9418/128,8458/976?
Given fractions are 9418/128,8458/976
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 9418/128,8458/976, numerators are 9418,8458
Denominators are 128,976
The GCF of 9418,8458 is 2 .
LCM of 128,976 is 7808.
The greatest common factor of 9418/128,8458/976 = [GCF of 9418,8458]/[LCM of 128,976]= 2/7808
Therefore, the GCF of 9418/128,8458/976 is 2/7808.
To find the highest common factor of 9418,8458, we have to find the factors of both numbers and list the highest common factor.
The factors of 9418 are 1, 2, 17, 34, 277, 554, 4709, 9418
The factors of 8458 are 1, 2, 4229, 8458
The HCF of 9418,8458 is 2.
Lets's calculate GCF of 9418,8458
| 2 | 9418, 8458 |
| 4709, 4229 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9418,8458 By Matching Biggest Common Factor Method
Now, list down the factors of 9418
:1,2,17,34,277,554,4709,9418
Now, list down the factors of 8458
:1,2,4229,8458
Greatest Common Factor
We found the factors 9418,8458 . The biggest common factor number is the GCF number.
So the greatest common factor 9418,8458 is 2.
Lets's calculate LCM of 128,976
| 2 | 128, 976 |
| 2 | 64, 488 |
| 2 | 32, 244 |
| 2 | 16, 122 |
| 8, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 8 x 61 = 7808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7808
Therefore, the GCF of Fractions 9418/128,8458/976 is 2/7808
Least Common Multiple of 128,976 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 128,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,976) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(128,976) x common factors =16 x 1 = 16
LCM(128,976) = ( 128 × 976 ) / 16
LCM(128,976) = 124928 / 16
LCM(128,976) = 7808
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FAQs on GCF of Fractions of 9418/128, 8458/976
1. What is the HCF of 9418,8458?
The HCF of 9418,8458 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 9418/128, 8458/976?
Answer: GCF of Numerators as per given numbers 9418/128, 8458/976 is
GCF of Numerators i.e. for 9418,8458 is 2
LCM of denominators i.e. for 128,976 is 7808.
Thus, GCF of Fractions is 2/7808.Finally, GCF of Fractions for 9418/128, 8458/976 is 2/7808.