GCF of 1656/593, 7511/3004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1656/593, 7511/3004 i.e 1/1781372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1656/593, 7511/3004.
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 1656/593,7511/3004?
Given fractions are 1656/593,7511/3004
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 1656/593,7511/3004, numerators are 1656,7511
Denominators are 593,3004
The GCF of 1656,7511 is 1 .
LCM of 593,3004 is 1781372.
The greatest common factor of 1656/593,7511/3004 = [GCF of 1656,7511]/[LCM of 593,3004]= 1/1781372
Therefore, the GCF of 1656/593,7511/3004 is 1/1781372.
To find the highest common factor of 1656,7511, we have to find the factors of both numbers and list the highest common factor.
The factors of 1656 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 69, 72, 92, 138, 184, 207, 276, 414, 552, 828, 1656
The factors of 7511 are 1, 7, 29, 37, 203, 259, 1073, 7511
The HCF of 1656,7511 is 1.
Lets's calculate GCF of 1656,7511
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1656,7511 By Matching Biggest Common Factor Method
Now, list down the factors of 1656
:1,2,3,4,6,8,9,12,18,23,24,36,46,69,72,92,138,184,207,276,414,552,828,1656
Now, list down the factors of 7511
:1,7,29,37,203,259,1073,7511
Greatest Common Factor
We found the factors 1656,7511 . The biggest common factor number is the GCF number.
So the greatest common factor 1656,7511 is 1.
Lets's calculate LCM of 593,3004
Given numbers has no common factors except 1. So, there LCM is their product i.e 1781372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1781372
Therefore, the GCF of Fractions 1656/593,7511/3004 is 1/1781372
Least Common Multiple of 593,3004 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 593,3004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,3004) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,3004) x common factors =1 x 1 = 1
LCM(593,3004) = ( 593 × 3004 ) / 1
LCM(593,3004) = 1781372 / 1
LCM(593,3004) = 1781372
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FAQs on GCF of Fractions of 1656/593, 7511/3004
1. What is the HCF of 1656,7511?
The HCF of 1656,7511 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 1656/593, 7511/3004?
Answer: GCF of Numerators as per given numbers 1656/593, 7511/3004 is
GCF of Numerators i.e. for 1656,7511 is 1
LCM of denominators i.e. for 593,3004 is 1781372.
Thus, GCF of Fractions is 1/1781372.Finally, GCF of Fractions for 1656/593, 7511/3004 is 1/1781372.