GCF of 8275/547, 6522/493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8275/547, 6522/493 i.e 1/269671 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8275/547, 6522/493.
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 8275/547,6522/493?
Given fractions are 8275/547,6522/493
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 8275/547,6522/493, numerators are 8275,6522
Denominators are 547,493
The GCF of 8275,6522 is 1 .
LCM of 547,493 is 269671.
The greatest common factor of 8275/547,6522/493 = [GCF of 8275,6522]/[LCM of 547,493]= 1/269671
Therefore, the GCF of 8275/547,6522/493 is 1/269671.
To find the highest common factor of 8275,6522, we have to find the factors of both numbers and list the highest common factor.
The factors of 8275 are 1, 5, 25, 331, 1655, 8275
The factors of 6522 are 1, 2, 3, 6, 1087, 2174, 3261, 6522
The HCF of 8275,6522 is 1.
Lets's calculate GCF of 8275,6522
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8275,6522 By Matching Biggest Common Factor Method
Now, list down the factors of 8275
:1,5,25,331,1655,8275
Now, list down the factors of 6522
:1,2,3,6,1087,2174,3261,6522
Greatest Common Factor
We found the factors 8275,6522 . The biggest common factor number is the GCF number.
So the greatest common factor 8275,6522 is 1.
Lets's calculate LCM of 547,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 269671
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269671
Therefore, the GCF of Fractions 8275/547,6522/493 is 1/269671
Least Common Multiple of 547,493 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 547,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,493) x common factors =1 x 1 = 1
LCM(547,493) = ( 547 × 493 ) / 1
LCM(547,493) = 269671 / 1
LCM(547,493) = 269671
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FAQs on GCF of Fractions of 8275/547, 6522/493
1. What is the HCF of 8275,6522?
The HCF of 8275,6522 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 8275/547, 6522/493?
Answer: GCF of Numerators as per given numbers 8275/547, 6522/493 is
GCF of Numerators i.e. for 8275,6522 is 1
LCM of denominators i.e. for 547,493 is 269671.
Thus, GCF of Fractions is 1/269671.Finally, GCF of Fractions for 8275/547, 6522/493 is 1/269671.