GCF of 6549/766, 3532/291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6549/766, 3532/291 i.e 1/222906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6549/766, 3532/291.
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 6549/766,3532/291?
Given fractions are 6549/766,3532/291
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 6549/766,3532/291, numerators are 6549,3532
Denominators are 766,291
The GCF of 6549,3532 is 1 .
LCM of 766,291 is 222906.
The greatest common factor of 6549/766,3532/291 = [GCF of 6549,3532]/[LCM of 766,291]= 1/222906
Therefore, the GCF of 6549/766,3532/291 is 1/222906.
To find the highest common factor of 6549,3532, we have to find the factors of both numbers and list the highest common factor.
The factors of 6549 are 1, 3, 37, 59, 111, 177, 2183, 6549
The factors of 3532 are 1, 2, 4, 883, 1766, 3532
The HCF of 6549,3532 is 1.
Lets's calculate GCF of 6549,3532
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6549,3532 By Matching Biggest Common Factor Method
Now, list down the factors of 6549
:1,3,37,59,111,177,2183,6549
Now, list down the factors of 3532
:1,2,4,883,1766,3532
Greatest Common Factor
We found the factors 6549,3532 . The biggest common factor number is the GCF number.
So the greatest common factor 6549,3532 is 1.
Lets's calculate LCM of 766,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 222906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222906
Therefore, the GCF of Fractions 6549/766,3532/291 is 1/222906
Least Common Multiple of 766,291 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 766,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(766,291) x common factors =1 x 1 = 1
LCM(766,291) = ( 766 × 291 ) / 1
LCM(766,291) = 222906 / 1
LCM(766,291) = 222906
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FAQs on GCF of Fractions of 6549/766, 3532/291
1. What is the HCF of 6549,3532?
The HCF of 6549,3532 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 6549/766, 3532/291?
Answer: GCF of Numerators as per given numbers 6549/766, 3532/291 is
GCF of Numerators i.e. for 6549,3532 is 1
LCM of denominators i.e. for 766,291 is 222906.
Thus, GCF of Fractions is 1/222906.Finally, GCF of Fractions for 6549/766, 3532/291 is 1/222906.