GCF of 182/457, 9710/592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 182/457, 9710/592 i.e 2/270544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 182/457, 9710/592.
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 182/457,9710/592?
Given fractions are 182/457,9710/592
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 182/457,9710/592, numerators are 182,9710
Denominators are 457,592
The GCF of 182,9710 is 2 .
LCM of 457,592 is 270544.
The greatest common factor of 182/457,9710/592 = [GCF of 182,9710]/[LCM of 457,592]= 2/270544
Therefore, the GCF of 182/457,9710/592 is 2/270544.
To find the highest common factor of 182,9710, we have to find the factors of both numbers and list the highest common factor.
The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182
The factors of 9710 are 1, 2, 5, 10, 971, 1942, 4855, 9710
The HCF of 182,9710 is 2.
Lets's calculate GCF of 182,9710
| 2 | 182, 9710 |
| 91, 4855 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 182,9710 By Matching Biggest Common Factor Method
Now, list down the factors of 182
:1,2,7,13,14,26,91,182
Now, list down the factors of 9710
:1,2,5,10,971,1942,4855,9710
Greatest Common Factor
We found the factors 182,9710 . The biggest common factor number is the GCF number.
So the greatest common factor 182,9710 is 2.
Lets's calculate LCM of 457,592
Given numbers has no common factors except 1. So, there LCM is their product i.e 270544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/270544
Therefore, the GCF of Fractions 182/457,9710/592 is 2/270544
Least Common Multiple of 457,592 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 457,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,592) x common factors =1 x 1 = 1
LCM(457,592) = ( 457 × 592 ) / 1
LCM(457,592) = 270544 / 1
LCM(457,592) = 270544
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FAQs on GCF of Fractions of 182/457, 9710/592
1. What is the HCF of 182,9710?
The HCF of 182,9710 is 2
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 182/457, 9710/592?
Answer: GCF of Numerators as per given numbers 182/457, 9710/592 is
GCF of Numerators i.e. for 182,9710 is 2
LCM of denominators i.e. for 457,592 is 270544.
Thus, GCF of Fractions is 2/270544.Finally, GCF of Fractions for 182/457, 9710/592 is 2/270544.