GCF of 9578/982, 6171/188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9578/982, 6171/188 i.e 1/92308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9578/982, 6171/188.
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 9578/982,6171/188?
Given fractions are 9578/982,6171/188
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 9578/982,6171/188, numerators are 9578,6171
Denominators are 982,188
The GCF of 9578,6171 is 1 .
LCM of 982,188 is 92308.
The greatest common factor of 9578/982,6171/188 = [GCF of 9578,6171]/[LCM of 982,188]= 1/92308
Therefore, the GCF of 9578/982,6171/188 is 1/92308.
To find the highest common factor of 9578,6171, we have to find the factors of both numbers and list the highest common factor.
The factors of 9578 are 1, 2, 4789, 9578
The factors of 6171 are 1, 3, 11, 17, 33, 51, 121, 187, 363, 561, 2057, 6171
The HCF of 9578,6171 is 1.
Lets's calculate GCF of 9578,6171
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9578,6171 By Matching Biggest Common Factor Method
Now, list down the factors of 9578
:1,2,4789,9578
Now, list down the factors of 6171
:1,3,11,17,33,51,121,187,363,561,2057,6171
Greatest Common Factor
We found the factors 9578,6171 . The biggest common factor number is the GCF number.
So the greatest common factor 9578,6171 is 1.
Lets's calculate LCM of 982,188
| 2 | 982, 188 |
| 491, 94 |
∴ So the LCM of the given numbers is 2 x 491 x 94 = 92308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92308
Therefore, the GCF of Fractions 9578/982,6171/188 is 1/92308
Least Common Multiple of 982,188 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 982,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,188) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,188) x common factors =2 x 1 = 2
LCM(982,188) = ( 982 × 188 ) / 2
LCM(982,188) = 184616 / 2
LCM(982,188) = 92308
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FAQs on GCF of Fractions of 9578/982, 6171/188
1. What is the HCF of 9578,6171?
The HCF of 9578,6171 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 9578/982, 6171/188?
Answer: GCF of Numerators as per given numbers 9578/982, 6171/188 is
GCF of Numerators i.e. for 9578,6171 is 1
LCM of denominators i.e. for 982,188 is 92308.
Thus, GCF of Fractions is 1/92308.Finally, GCF of Fractions for 9578/982, 6171/188 is 1/92308.