GCF of 92/746, 77/471, 258/761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 92/746, 77/471, 258/761 i.e 1/267389526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/746, 77/471, 258/761.
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 92/746,77/471,258/761?
Given fractions are 92/746,77/471,258/761
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 92/746,77/471,258/761, numerators are 92,77,258
Denominators are 746,471,761
The GCF of 92,77,258 is 1 .
LCM of 746,471,761 is 267389526.
The greatest common factor of 92/746,77/471,258/761 = [GCF of 92,77,258]/[LCM of 746,471,761]= 1/267389526
Therefore, the GCF of 92/746,77/471,258/761 is 1/267389526.
To find the highest common factor of 92,77,258, 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 77 are 1, 7, 11, 77
The factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258
The HCF of 92,77,258 is 1.
Lets's calculate GCF of 92,77,258
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 92,77,258 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 77
:1,7,11,77
Now, list down the factors of 258
:1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 92,77,258 . The biggest common factor number is the GCF number.
So the greatest common factor 92,77,258 is 1.
Lets's calculate LCM of 746,471,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 267389526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267389526
Therefore, the GCF of Fractions 92/746,77/471,258/761 is 1/267389526
Least Common Multiple of 746,471,761 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 746,471,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,471,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(746,471,761) x common factors =1 x 1 = 1
LCM(746,471,761) = ( 746 × 471 × 761 ) / 1
LCM(746,471,761) = 267389526 / 1
LCM(746,471,761) = 267389526
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FAQs on GCF of Fractions of 92/746, 77/471, 258/761
1. What is the HCF of 92,77,258?
The HCF of 92,77,258 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 92/746, 77/471, 258/761?
Answer: GCF of Numerators as per given numbers 92/746, 77/471, 258/761 is
GCF of Numerators i.e. for 92,77,258 is 1
LCM of denominators i.e. for 746,471,761 is 267389526.
Thus, GCF of Fractions is 1/267389526.Finally, GCF of Fractions for 92/746, 77/471, 258/761 is 1/267389526.