GCF of 1657/579, 6230/3525
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1657/579, 6230/3525 i.e 1/680325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1657/579, 6230/3525.
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 1657/579,6230/3525?
Given fractions are 1657/579,6230/3525
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 1657/579,6230/3525, numerators are 1657,6230
Denominators are 579,3525
The GCF of 1657,6230 is 1 .
LCM of 579,3525 is 680325.
The greatest common factor of 1657/579,6230/3525 = [GCF of 1657,6230]/[LCM of 579,3525]= 1/680325
Therefore, the GCF of 1657/579,6230/3525 is 1/680325.
To find the highest common factor of 1657,6230, we have to find the factors of both numbers and list the highest common factor.
The factors of 1657 are 1, 1657
The factors of 6230 are 1, 2, 5, 7, 10, 14, 35, 70, 89, 178, 445, 623, 890, 1246, 3115, 6230
The HCF of 1657,6230 is 1.
Lets's calculate GCF of 1657,6230
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1657,6230 By Matching Biggest Common Factor Method
Now, list down the factors of 1657
:1,1657
Now, list down the factors of 6230
:1,2,5,7,10,14,35,70,89,178,445,623,890,1246,3115,6230
Greatest Common Factor
We found the factors 1657,6230 . The biggest common factor number is the GCF number.
So the greatest common factor 1657,6230 is 1.
Lets's calculate LCM of 579,3525
| 3 | 579, 3525 |
| 193, 1175 |
∴ So the LCM of the given numbers is 3 x 193 x 1175 = 680325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/680325
Therefore, the GCF of Fractions 1657/579,6230/3525 is 1/680325
Least Common Multiple of 579,3525 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 579,3525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,3525) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(579,3525) x common factors =3 x 1 = 3
LCM(579,3525) = ( 579 × 3525 ) / 3
LCM(579,3525) = 2040975 / 3
LCM(579,3525) = 680325
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FAQs on GCF of Fractions of 1657/579, 6230/3525
1. What is the HCF of 1657,6230?
The HCF of 1657,6230 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 1657/579, 6230/3525?
Answer: GCF of Numerators as per given numbers 1657/579, 6230/3525 is
GCF of Numerators i.e. for 1657,6230 is 1
LCM of denominators i.e. for 579,3525 is 680325.
Thus, GCF of Fractions is 1/680325.Finally, GCF of Fractions for 1657/579, 6230/3525 is 1/680325.