GCF of 6182/301, 7581/5728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6182/301, 7581/5728 i.e 1/1724128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6182/301, 7581/5728.
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 6182/301,7581/5728?
Given fractions are 6182/301,7581/5728
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 6182/301,7581/5728, numerators are 6182,7581
Denominators are 301,5728
The GCF of 6182,7581 is 1 .
LCM of 301,5728 is 1724128.
The greatest common factor of 6182/301,7581/5728 = [GCF of 6182,7581]/[LCM of 301,5728]= 1/1724128
Therefore, the GCF of 6182/301,7581/5728 is 1/1724128.
To find the highest common factor of 6182,7581, we have to find the factors of both numbers and list the highest common factor.
The factors of 6182 are 1, 2, 11, 22, 281, 562, 3091, 6182
The factors of 7581 are 1, 3, 7, 19, 21, 57, 133, 361, 399, 1083, 2527, 7581
The HCF of 6182,7581 is 1.
Lets's calculate GCF of 6182,7581
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6182,7581 By Matching Biggest Common Factor Method
Now, list down the factors of 6182
:1,2,11,22,281,562,3091,6182
Now, list down the factors of 7581
:1,3,7,19,21,57,133,361,399,1083,2527,7581
Greatest Common Factor
We found the factors 6182,7581 . The biggest common factor number is the GCF number.
So the greatest common factor 6182,7581 is 1.
Lets's calculate LCM of 301,5728
Given numbers has no common factors except 1. So, there LCM is their product i.e 1724128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1724128
Therefore, the GCF of Fractions 6182/301,7581/5728 is 1/1724128
Least Common Multiple of 301,5728 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 301,5728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,5728) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,5728) x common factors =1 x 1 = 1
LCM(301,5728) = ( 301 × 5728 ) / 1
LCM(301,5728) = 1724128 / 1
LCM(301,5728) = 1724128
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FAQs on GCF of Fractions of 6182/301, 7581/5728
1. What is the HCF of 6182,7581?
The HCF of 6182,7581 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 6182/301, 7581/5728?
Answer: GCF of Numerators as per given numbers 6182/301, 7581/5728 is
GCF of Numerators i.e. for 6182,7581 is 1
LCM of denominators i.e. for 301,5728 is 1724128.
Thus, GCF of Fractions is 1/1724128.Finally, GCF of Fractions for 6182/301, 7581/5728 is 1/1724128.