GCF of 9779/779, 7409/4465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9779/779, 7409/4465 i.e 1/183065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9779/779, 7409/4465.
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 9779/779,7409/4465?
Given fractions are 9779/779,7409/4465
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 9779/779,7409/4465, numerators are 9779,7409
Denominators are 779,4465
The GCF of 9779,7409 is 1 .
LCM of 779,4465 is 183065.
The greatest common factor of 9779/779,7409/4465 = [GCF of 9779,7409]/[LCM of 779,4465]= 1/183065
Therefore, the GCF of 9779/779,7409/4465 is 1/183065.
To find the highest common factor of 9779,7409, we have to find the factors of both numbers and list the highest common factor.
The factors of 9779 are 1, 7, 11, 77, 127, 889, 1397, 9779
The factors of 7409 are 1, 31, 239, 7409
The HCF of 9779,7409 is 1.
Lets's calculate GCF of 9779,7409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9779,7409 By Matching Biggest Common Factor Method
Now, list down the factors of 9779
:1,7,11,77,127,889,1397,9779
Now, list down the factors of 7409
:1,31,239,7409
Greatest Common Factor
We found the factors 9779,7409 . The biggest common factor number is the GCF number.
So the greatest common factor 9779,7409 is 1.
Lets's calculate LCM of 779,4465
| 19 | 779, 4465 |
| 41, 235 |
∴ So the LCM of the given numbers is 19 x 41 x 235 = 183065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183065
Therefore, the GCF of Fractions 9779/779,7409/4465 is 1/183065
Least Common Multiple of 779,4465 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 779,4465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,4465) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(779,4465) x common factors =19 x 1 = 19
LCM(779,4465) = ( 779 × 4465 ) / 19
LCM(779,4465) = 3478235 / 19
LCM(779,4465) = 183065
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FAQs on GCF of Fractions of 9779/779, 7409/4465
1. What is the HCF of 9779,7409?
The HCF of 9779,7409 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 9779/779, 7409/4465?
Answer: GCF of Numerators as per given numbers 9779/779, 7409/4465 is
GCF of Numerators i.e. for 9779,7409 is 1
LCM of denominators i.e. for 779,4465 is 183065.
Thus, GCF of Fractions is 1/183065.Finally, GCF of Fractions for 9779/779, 7409/4465 is 1/183065.