GCF of 92/734, 755/213, 566/201
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 92/734, 755/213, 566/201 i.e 1/10474914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/734, 755/213, 566/201.
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 92/734,755/213,566/201?
Given fractions are 92/734,755/213,566/201
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 92/734,755/213,566/201, numerators are 92,755,566
Denominators are 734,213,201
The GCF of 92,755,566 is 1 .
LCM of 734,213,201 is 10474914.
The greatest common factor of 92/734,755/213,566/201 = [GCF of 92,755,566]/[LCM of 734,213,201]= 1/10474914
Therefore, the GCF of 92/734,755/213,566/201 is 1/10474914.
To find the highest common factor of 92,755,566, 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 755 are 1, 5, 151, 755
The factors of 566 are 1, 2, 283, 566
The HCF of 92,755,566 is 1.
Lets's calculate GCF of 92,755,566
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 92,755,566 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 755
:1,5,151,755
Now, list down the factors of 566
:1,2,283,566
Greatest Common Factor
We found the factors 92,755,566 . The biggest common factor number is the GCF number.
So the greatest common factor 92,755,566 is 1.
Lets's calculate LCM of 734,213,201
| 3 | 734, 213, 201 |
| 734, 71, 67 |
∴ So the LCM of the given numbers is 3 x 734 x 71 x 67 = 10474914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10474914
Therefore, the GCF of Fractions 92/734,755/213,566/201 is 1/10474914
Least Common Multiple of 734,213,201 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 734,213,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,213,201) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(734,213,201) x common factors =1 x 3 = 3
LCM(734,213,201) = ( 734 × 213 × 201 ) / 3
LCM(734,213,201) = 31424742 / 3
LCM(734,213,201) = 10474914
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FAQs on GCF of Fractions of 92/734, 755/213, 566/201
1. What is the HCF of 92,755,566?
The HCF of 92,755,566 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 92/734, 755/213, 566/201?
Answer: GCF of Numerators as per given numbers 92/734, 755/213, 566/201 is
GCF of Numerators i.e. for 92,755,566 is 1
LCM of denominators i.e. for 734,213,201 is 10474914.
Thus, GCF of Fractions is 1/10474914.Finally, GCF of Fractions for 92/734, 755/213, 566/201 is 1/10474914.