GCF of 6472/541, 1001/4924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6472/541, 1001/4924 i.e 1/2663884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6472/541, 1001/4924.
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 6472/541,1001/4924?
Given fractions are 6472/541,1001/4924
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 6472/541,1001/4924, numerators are 6472,1001
Denominators are 541,4924
The GCF of 6472,1001 is 1 .
LCM of 541,4924 is 2663884.
The greatest common factor of 6472/541,1001/4924 = [GCF of 6472,1001]/[LCM of 541,4924]= 1/2663884
Therefore, the GCF of 6472/541,1001/4924 is 1/2663884.
To find the highest common factor of 6472,1001, we have to find the factors of both numbers and list the highest common factor.
The factors of 6472 are 1, 2, 4, 8, 809, 1618, 3236, 6472
The factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001
The HCF of 6472,1001 is 1.
Lets's calculate GCF of 6472,1001
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6472,1001 By Matching Biggest Common Factor Method
Now, list down the factors of 6472
:1,2,4,8,809,1618,3236,6472
Now, list down the factors of 1001
:1,7,11,13,77,91,143,1001
Greatest Common Factor
We found the factors 6472,1001 . The biggest common factor number is the GCF number.
So the greatest common factor 6472,1001 is 1.
Lets's calculate LCM of 541,4924
Given numbers has no common factors except 1. So, there LCM is their product i.e 2663884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2663884
Therefore, the GCF of Fractions 6472/541,1001/4924 is 1/2663884
Least Common Multiple of 541,4924 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 541,4924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,4924) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,4924) x common factors =1 x 1 = 1
LCM(541,4924) = ( 541 × 4924 ) / 1
LCM(541,4924) = 2663884 / 1
LCM(541,4924) = 2663884
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FAQs on GCF of Fractions of 6472/541, 1001/4924
1. What is the HCF of 6472,1001?
The HCF of 6472,1001 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 6472/541, 1001/4924?
Answer: GCF of Numerators as per given numbers 6472/541, 1001/4924 is
GCF of Numerators i.e. for 6472,1001 is 1
LCM of denominators i.e. for 541,4924 is 2663884.
Thus, GCF of Fractions is 1/2663884.Finally, GCF of Fractions for 6472/541, 1001/4924 is 1/2663884.