GCF of 3596/912, 3737/6213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3596/912, 3737/6213 i.e 1/99408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3596/912, 3737/6213.
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 3596/912,3737/6213?
Given fractions are 3596/912,3737/6213
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 3596/912,3737/6213, numerators are 3596,3737
Denominators are 912,6213
The GCF of 3596,3737 is 1 .
LCM of 912,6213 is 99408.
The greatest common factor of 3596/912,3737/6213 = [GCF of 3596,3737]/[LCM of 912,6213]= 1/99408
Therefore, the GCF of 3596/912,3737/6213 is 1/99408.
To find the highest common factor of 3596,3737, we have to find the factors of both numbers and list the highest common factor.
The factors of 3596 are 1, 2, 4, 29, 31, 58, 62, 116, 124, 899, 1798, 3596
The factors of 3737 are 1, 37, 101, 3737
The HCF of 3596,3737 is 1.
Lets's calculate GCF of 3596,3737
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3596,3737 By Matching Biggest Common Factor Method
Now, list down the factors of 3596
:1,2,4,29,31,58,62,116,124,899,1798,3596
Now, list down the factors of 3737
:1,37,101,3737
Greatest Common Factor
We found the factors 3596,3737 . The biggest common factor number is the GCF number.
So the greatest common factor 3596,3737 is 1.
Lets's calculate LCM of 912,6213
| 3 | 912, 6213 |
| 19 | 304, 2071 |
| 16, 109 |
∴ So the LCM of the given numbers is 3 x 19 x 16 x 109 = 99408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99408
Therefore, the GCF of Fractions 3596/912,3737/6213 is 1/99408
Least Common Multiple of 912,6213 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 912,6213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,6213) = 57
common factors(in case of two or more numbers have common factors) = 1
GCF(912,6213) x common factors =57 x 1 = 57
LCM(912,6213) = ( 912 × 6213 ) / 57
LCM(912,6213) = 5666256 / 57
LCM(912,6213) = 99408
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FAQs on GCF of Fractions of 3596/912, 3737/6213
1. What is the HCF of 3596,3737?
The HCF of 3596,3737 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 3596/912, 3737/6213?
Answer: GCF of Numerators as per given numbers 3596/912, 3737/6213 is
GCF of Numerators i.e. for 3596,3737 is 1
LCM of denominators i.e. for 912,6213 is 99408.
Thus, GCF of Fractions is 1/99408.Finally, GCF of Fractions for 3596/912, 3737/6213 is 1/99408.