GCF of 17/661, 305/478, 942/128
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 17/661, 305/478, 942/128 i.e 1/20221312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/661, 305/478, 942/128.
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 17/661,305/478,942/128?
Given fractions are 17/661,305/478,942/128
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 17/661,305/478,942/128, numerators are 17,305,942
Denominators are 661,478,128
The GCF of 17,305,942 is 1 .
LCM of 661,478,128 is 20221312.
The greatest common factor of 17/661,305/478,942/128 = [GCF of 17,305,942]/[LCM of 661,478,128]= 1/20221312
Therefore, the GCF of 17/661,305/478,942/128 is 1/20221312.
To find the highest common factor of 17,305,942, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 305 are 1, 5, 61, 305
The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942
The HCF of 17,305,942 is 1.
Lets's calculate GCF of 17,305,942
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 17,305,942 By Matching Biggest Common Factor Method
Now, list down the factors of 17
:1,17
Now, list down the factors of 305
:1,5,61,305
Now, list down the factors of 942
:1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 17,305,942 . The biggest common factor number is the GCF number.
So the greatest common factor 17,305,942 is 1.
Lets's calculate LCM of 661,478,128
| 2 | 661, 478, 128 |
| 661, 239, 64 |
∴ So the LCM of the given numbers is 2 x 661 x 239 x 64 = 20221312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20221312
Therefore, the GCF of Fractions 17/661,305/478,942/128 is 1/20221312
Least Common Multiple of 661,478,128 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 661,478,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,478,128) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(661,478,128) x common factors =1 x 2 = 2
LCM(661,478,128) = ( 661 × 478 × 128 ) / 2
LCM(661,478,128) = 40442624 / 2
LCM(661,478,128) = 20221312
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FAQs on GCF of Fractions of 17/661, 305/478, 942/128
1. What is the HCF of 17,305,942?
The HCF of 17,305,942 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 17/661, 305/478, 942/128?
Answer: GCF of Numerators as per given numbers 17/661, 305/478, 942/128 is
GCF of Numerators i.e. for 17,305,942 is 1
LCM of denominators i.e. for 661,478,128 is 20221312.
Thus, GCF of Fractions is 1/20221312.Finally, GCF of Fractions for 17/661, 305/478, 942/128 is 1/20221312.