GCF of 92/755, 86/107, 461/347
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 92/755, 86/107, 461/347 i.e 1/28032395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/755, 86/107, 461/347.
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 92/755,86/107,461/347?
Given fractions are 92/755,86/107,461/347
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 92/755,86/107,461/347, numerators are 92,86,461
Denominators are 755,107,347
The GCF of 92,86,461 is 1 .
LCM of 755,107,347 is 28032395.
The greatest common factor of 92/755,86/107,461/347 = [GCF of 92,86,461]/[LCM of 755,107,347]= 1/28032395
Therefore, the GCF of 92/755,86/107,461/347 is 1/28032395.
To find the highest common factor of 92,86,461, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 86 are 1, 2, 43, 86
The factors of 461 are 1, 461
The HCF of 92,86,461 is 1.
Lets's calculate GCF of 92,86,461
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 92,86,461 By Matching Biggest Common Factor Method
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 461
:1,461
Greatest Common Factor
We found the factors 92,86,461 . The biggest common factor number is the GCF number.
So the greatest common factor 92,86,461 is 1.
Lets's calculate LCM of 755,107,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 28032395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28032395
Therefore, the GCF of Fractions 92/755,86/107,461/347 is 1/28032395
Least Common Multiple of 755,107,347 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 755,107,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,107,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(755,107,347) x common factors =1 x 1 = 1
LCM(755,107,347) = ( 755 × 107 × 347 ) / 1
LCM(755,107,347) = 28032395 / 1
LCM(755,107,347) = 28032395
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FAQs on GCF of Fractions of 92/755, 86/107, 461/347
1. What is the HCF of 92,86,461?
The HCF of 92,86,461 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 92/755, 86/107, 461/347?
Answer: GCF of Numerators as per given numbers 92/755, 86/107, 461/347 is
GCF of Numerators i.e. for 92,86,461 is 1
LCM of denominators i.e. for 755,107,347 is 28032395.
Thus, GCF of Fractions is 1/28032395.Finally, GCF of Fractions for 92/755, 86/107, 461/347 is 1/28032395.