GCF of 84/575, 472/413, 659/457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 84/575, 472/413, 659/457 i.e 1/108526075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 84/575, 472/413, 659/457.
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 84/575,472/413,659/457?
Given fractions are 84/575,472/413,659/457
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 84/575,472/413,659/457, numerators are 84,472,659
Denominators are 575,413,457
The GCF of 84,472,659 is 1 .
LCM of 575,413,457 is 108526075.
The greatest common factor of 84/575,472/413,659/457 = [GCF of 84,472,659]/[LCM of 575,413,457]= 1/108526075
Therefore, the GCF of 84/575,472/413,659/457 is 1/108526075.
To find the highest common factor of 84,472,659, we have to find the factors of both numbers and list the highest common factor.
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472
The factors of 659 are 1, 659
The HCF of 84,472,659 is 1.
Lets's calculate GCF of 84,472,659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 84,472,659 By Matching Biggest Common Factor Method
Now, list down the factors of 84
:1,2,3,4,6,7,12,14,21,28,42,84
Now, list down the factors of 472
:1,2,4,8,59,118,236,472
Now, list down the factors of 659
:1,659
Greatest Common Factor
We found the factors 84,472,659 . The biggest common factor number is the GCF number.
So the greatest common factor 84,472,659 is 1.
Lets's calculate LCM of 575,413,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 108526075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108526075
Therefore, the GCF of Fractions 84/575,472/413,659/457 is 1/108526075
Least Common Multiple of 575,413,457 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 575,413,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,413,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,413,457) x common factors =1 x 1 = 1
LCM(575,413,457) = ( 575 × 413 × 457 ) / 1
LCM(575,413,457) = 108526075 / 1
LCM(575,413,457) = 108526075
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FAQs on GCF of Fractions of 84/575, 472/413, 659/457
1. What is the HCF of 84,472,659?
The HCF of 84,472,659 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 84/575, 472/413, 659/457?
Answer: GCF of Numerators as per given numbers 84/575, 472/413, 659/457 is
GCF of Numerators i.e. for 84,472,659 is 1
LCM of denominators i.e. for 575,413,457 is 108526075.
Thus, GCF of Fractions is 1/108526075.Finally, GCF of Fractions for 84/575, 472/413, 659/457 is 1/108526075.