GCF of 9154/644, 4677/9788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9154/644, 4677/9788 i.e 1/1575868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9154/644, 4677/9788.
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 9154/644,4677/9788?
Given fractions are 9154/644,4677/9788
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 9154/644,4677/9788, numerators are 9154,4677
Denominators are 644,9788
The GCF of 9154,4677 is 1 .
LCM of 644,9788 is 1575868.
The greatest common factor of 9154/644,4677/9788 = [GCF of 9154,4677]/[LCM of 644,9788]= 1/1575868
Therefore, the GCF of 9154/644,4677/9788 is 1/1575868.
To find the highest common factor of 9154,4677, we have to find the factors of both numbers and list the highest common factor.
The factors of 9154 are 1, 2, 23, 46, 199, 398, 4577, 9154
The factors of 4677 are 1, 3, 1559, 4677
The HCF of 9154,4677 is 1.
Lets's calculate GCF of 9154,4677
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9154,4677 By Matching Biggest Common Factor Method
Now, list down the factors of 9154
:1,2,23,46,199,398,4577,9154
Now, list down the factors of 4677
:1,3,1559,4677
Greatest Common Factor
We found the factors 9154,4677 . The biggest common factor number is the GCF number.
So the greatest common factor 9154,4677 is 1.
Lets's calculate LCM of 644,9788
| 2 | 644, 9788 |
| 2 | 322, 4894 |
| 161, 2447 |
∴ So the LCM of the given numbers is 2 x 2 x 161 x 2447 = 1575868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1575868
Therefore, the GCF of Fractions 9154/644,4677/9788 is 1/1575868
Least Common Multiple of 644,9788 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 644,9788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,9788) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(644,9788) x common factors =4 x 1 = 4
LCM(644,9788) = ( 644 × 9788 ) / 4
LCM(644,9788) = 6303472 / 4
LCM(644,9788) = 1575868
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FAQs on GCF of Fractions of 9154/644, 4677/9788
1. What is the HCF of 9154,4677?
The HCF of 9154,4677 is 1
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 9154/644, 4677/9788?
Answer: GCF of Numerators as per given numbers 9154/644, 4677/9788 is
GCF of Numerators i.e. for 9154,4677 is 1
LCM of denominators i.e. for 644,9788 is 1575868.
Thus, GCF of Fractions is 1/1575868.Finally, GCF of Fractions for 9154/644, 4677/9788 is 1/1575868.