GCF of 9452/577, 9892/3171
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9452/577, 9892/3171 i.e 4/1829667 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9452/577, 9892/3171.
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 9452/577,9892/3171?
Given fractions are 9452/577,9892/3171
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 9452/577,9892/3171, numerators are 9452,9892
Denominators are 577,3171
The GCF of 9452,9892 is 4 .
LCM of 577,3171 is 1829667.
The greatest common factor of 9452/577,9892/3171 = [GCF of 9452,9892]/[LCM of 577,3171]= 4/1829667
Therefore, the GCF of 9452/577,9892/3171 is 4/1829667.
To find the highest common factor of 9452,9892, we have to find the factors of both numbers and list the highest common factor.
The factors of 9452 are 1, 2, 4, 17, 34, 68, 139, 278, 556, 2363, 4726, 9452
The factors of 9892 are 1, 2, 4, 2473, 4946, 9892
The HCF of 9452,9892 is 4.
Lets's calculate GCF of 9452,9892
| 2 | 9452, 9892 |
| 2 | 4726, 4946 |
| 2363, 2473 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9452,9892 By Matching Biggest Common Factor Method
Now, list down the factors of 9452
:1,2,4,17,34,68,139,278,556,2363,4726,9452
Now, list down the factors of 9892
:1,2,4,2473,4946,9892
Greatest Common Factor
We found the factors 9452,9892 . The biggest common factor number is the GCF number.
So the greatest common factor 9452,9892 is 4.
Lets's calculate LCM of 577,3171
Given numbers has no common factors except 1. So, there LCM is their product i.e 1829667
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1829667
Therefore, the GCF of Fractions 9452/577,9892/3171 is 4/1829667
Least Common Multiple of 577,3171 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 577,3171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,3171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,3171) x common factors =1 x 1 = 1
LCM(577,3171) = ( 577 × 3171 ) / 1
LCM(577,3171) = 1829667 / 1
LCM(577,3171) = 1829667
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FAQs on GCF of Fractions of 9452/577, 9892/3171
1. What is the HCF of 9452,9892?
The HCF of 9452,9892 is 4
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 9452/577, 9892/3171?
Answer: GCF of Numerators as per given numbers 9452/577, 9892/3171 is
GCF of Numerators i.e. for 9452,9892 is 4
LCM of denominators i.e. for 577,3171 is 1829667.
Thus, GCF of Fractions is 4/1829667.Finally, GCF of Fractions for 9452/577, 9892/3171 is 4/1829667.