GCF of 43/496, 44/577, 901/379
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/496, 44/577, 901/379 i.e 1/108466768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/496, 44/577, 901/379.
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 43/496,44/577,901/379?
Given fractions are 43/496,44/577,901/379
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 43/496,44/577,901/379, numerators are 43,44,901
Denominators are 496,577,379
The GCF of 43,44,901 is 1 .
LCM of 496,577,379 is 108466768.
The greatest common factor of 43/496,44/577,901/379 = [GCF of 43,44,901]/[LCM of 496,577,379]= 1/108466768
Therefore, the GCF of 43/496,44/577,901/379 is 1/108466768.
To find the highest common factor of 43,44,901, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 901 are 1, 17, 53, 901
The HCF of 43,44,901 is 1.
Lets's calculate GCF of 43,44,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,44,901 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 901
:1,17,53,901
Greatest Common Factor
We found the factors 43,44,901 . The biggest common factor number is the GCF number.
So the greatest common factor 43,44,901 is 1.
Lets's calculate LCM of 496,577,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 108466768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108466768
Therefore, the GCF of Fractions 43/496,44/577,901/379 is 1/108466768
Least Common Multiple of 496,577,379 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 496,577,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,577,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(496,577,379) x common factors =1 x 1 = 1
LCM(496,577,379) = ( 496 × 577 × 379 ) / 1
LCM(496,577,379) = 108466768 / 1
LCM(496,577,379) = 108466768
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FAQs on GCF of Fractions of 43/496, 44/577, 901/379
1. What is the HCF of 43,44,901?
The HCF of 43,44,901 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 43/496, 44/577, 901/379?
Answer: GCF of Numerators as per given numbers 43/496, 44/577, 901/379 is
GCF of Numerators i.e. for 43,44,901 is 1
LCM of denominators i.e. for 496,577,379 is 108466768.
Thus, GCF of Fractions is 1/108466768.Finally, GCF of Fractions for 43/496, 44/577, 901/379 is 1/108466768.