GCF of 3553/798, 4362/5913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3553/798, 4362/5913 i.e 1/1572858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3553/798, 4362/5913.
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 3553/798,4362/5913?
Given fractions are 3553/798,4362/5913
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 3553/798,4362/5913, numerators are 3553,4362
Denominators are 798,5913
The GCF of 3553,4362 is 1 .
LCM of 798,5913 is 1572858.
The greatest common factor of 3553/798,4362/5913 = [GCF of 3553,4362]/[LCM of 798,5913]= 1/1572858
Therefore, the GCF of 3553/798,4362/5913 is 1/1572858.
To find the highest common factor of 3553,4362, we have to find the factors of both numbers and list the highest common factor.
The factors of 3553 are 1, 11, 17, 19, 187, 209, 323, 3553
The factors of 4362 are 1, 2, 3, 6, 727, 1454, 2181, 4362
The HCF of 3553,4362 is 1.
Lets's calculate GCF of 3553,4362
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3553,4362 By Matching Biggest Common Factor Method
Now, list down the factors of 3553
:1,11,17,19,187,209,323,3553
Now, list down the factors of 4362
:1,2,3,6,727,1454,2181,4362
Greatest Common Factor
We found the factors 3553,4362 . The biggest common factor number is the GCF number.
So the greatest common factor 3553,4362 is 1.
Lets's calculate LCM of 798,5913
| 3 | 798, 5913 |
| 266, 1971 |
∴ So the LCM of the given numbers is 3 x 266 x 1971 = 1572858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1572858
Therefore, the GCF of Fractions 3553/798,4362/5913 is 1/1572858
Least Common Multiple of 798,5913 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 798,5913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,5913) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(798,5913) x common factors =3 x 1 = 3
LCM(798,5913) = ( 798 × 5913 ) / 3
LCM(798,5913) = 4718574 / 3
LCM(798,5913) = 1572858
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FAQs on GCF of Fractions of 3553/798, 4362/5913
1. What is the HCF of 3553,4362?
The HCF of 3553,4362 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 3553/798, 4362/5913?
Answer: GCF of Numerators as per given numbers 3553/798, 4362/5913 is
GCF of Numerators i.e. for 3553,4362 is 1
LCM of denominators i.e. for 798,5913 is 1572858.
Thus, GCF of Fractions is 1/1572858.Finally, GCF of Fractions for 3553/798, 4362/5913 is 1/1572858.