GCF of 3589/692, 6537/848
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3589/692, 6537/848 i.e 1/146704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3589/692, 6537/848.
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 3589/692,6537/848?
Given fractions are 3589/692,6537/848
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 3589/692,6537/848, numerators are 3589,6537
Denominators are 692,848
The GCF of 3589,6537 is 1 .
LCM of 692,848 is 146704.
The greatest common factor of 3589/692,6537/848 = [GCF of 3589,6537]/[LCM of 692,848]= 1/146704
Therefore, the GCF of 3589/692,6537/848 is 1/146704.
To find the highest common factor of 3589,6537, we have to find the factors of both numbers and list the highest common factor.
The factors of 3589 are 1, 37, 97, 3589
The factors of 6537 are 1, 3, 2179, 6537
The HCF of 3589,6537 is 1.
Lets's calculate GCF of 3589,6537
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3589,6537 By Matching Biggest Common Factor Method
Now, list down the factors of 3589
:1,37,97,3589
Now, list down the factors of 6537
:1,3,2179,6537
Greatest Common Factor
We found the factors 3589,6537 . The biggest common factor number is the GCF number.
So the greatest common factor 3589,6537 is 1.
Lets's calculate LCM of 692,848
| 2 | 692, 848 |
| 2 | 346, 424 |
| 173, 212 |
∴ So the LCM of the given numbers is 2 x 2 x 173 x 212 = 146704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146704
Therefore, the GCF of Fractions 3589/692,6537/848 is 1/146704
Least Common Multiple of 692,848 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 692,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,848) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(692,848) x common factors =4 x 1 = 4
LCM(692,848) = ( 692 × 848 ) / 4
LCM(692,848) = 586816 / 4
LCM(692,848) = 146704
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FAQs on GCF of Fractions of 3589/692, 6537/848
1. What is the HCF of 3589,6537?
The HCF of 3589,6537 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 3589/692, 6537/848?
Answer: GCF of Numerators as per given numbers 3589/692, 6537/848 is
GCF of Numerators i.e. for 3589,6537 is 1
LCM of denominators i.e. for 692,848 is 146704.
Thus, GCF of Fractions is 1/146704.Finally, GCF of Fractions for 3589/692, 6537/848 is 1/146704.