GCF of 1912/136, 9265/9741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1912/136, 9265/9741 i.e 1/77928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1912/136, 9265/9741.
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 1912/136,9265/9741?
Given fractions are 1912/136,9265/9741
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 1912/136,9265/9741, numerators are 1912,9265
Denominators are 136,9741
The GCF of 1912,9265 is 1 .
LCM of 136,9741 is 77928.
The greatest common factor of 1912/136,9265/9741 = [GCF of 1912,9265]/[LCM of 136,9741]= 1/77928
Therefore, the GCF of 1912/136,9265/9741 is 1/77928.
To find the highest common factor of 1912,9265, we have to find the factors of both numbers and list the highest common factor.
The factors of 1912 are 1, 2, 4, 8, 239, 478, 956, 1912
The factors of 9265 are 1, 5, 17, 85, 109, 545, 1853, 9265
The HCF of 1912,9265 is 1.
Lets's calculate GCF of 1912,9265
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1912,9265 By Matching Biggest Common Factor Method
Now, list down the factors of 1912
:1,2,4,8,239,478,956,1912
Now, list down the factors of 9265
:1,5,17,85,109,545,1853,9265
Greatest Common Factor
We found the factors 1912,9265 . The biggest common factor number is the GCF number.
So the greatest common factor 1912,9265 is 1.
Lets's calculate LCM of 136,9741
| 17 | 136, 9741 |
| 8, 573 |
∴ So the LCM of the given numbers is 17 x 8 x 573 = 77928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77928
Therefore, the GCF of Fractions 1912/136,9265/9741 is 1/77928
Least Common Multiple of 136,9741 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 136,9741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,9741) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(136,9741) x common factors =17 x 1 = 17
LCM(136,9741) = ( 136 × 9741 ) / 17
LCM(136,9741) = 1324776 / 17
LCM(136,9741) = 77928
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FAQs on GCF of Fractions of 1912/136, 9265/9741
1. What is the HCF of 1912,9265?
The HCF of 1912,9265 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 1912/136, 9265/9741?
Answer: GCF of Numerators as per given numbers 1912/136, 9265/9741 is
GCF of Numerators i.e. for 1912,9265 is 1
LCM of denominators i.e. for 136,9741 is 77928.
Thus, GCF of Fractions is 1/77928.Finally, GCF of Fractions for 1912/136, 9265/9741 is 1/77928.