GCF of 827/5502, 659/3303
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 827/5502, 659/3303 i.e 1/6057702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 827/5502, 659/3303.
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 827/5502,659/3303?
Given fractions are 827/5502,659/3303
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 827/5502,659/3303, numerators are 827,659
Denominators are 5502,3303
The GCF of 827,659 is 1 .
LCM of 5502,3303 is 6057702.
The greatest common factor of 827/5502,659/3303 = [GCF of 827,659]/[LCM of 5502,3303]= 1/6057702
Therefore, the GCF of 827/5502,659/3303 is 1/6057702.
To find the highest common factor of 827,659, we have to find the factors of both numbers and list the highest common factor.
The factors of 827 are 1, 827
The factors of 659 are 1, 659
The HCF of 827,659 is 1.
Lets's calculate GCF of 827,659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 827,659 By Matching Biggest Common Factor Method
Now, list down the factors of 827
:1,827
Now, list down the factors of 659
:1,659
Greatest Common Factor
We found the factors 827,659 . The biggest common factor number is the GCF number.
So the greatest common factor 827,659 is 1.
Lets's calculate LCM of 5502,3303
| 3 | 5502, 3303 |
| 1834, 1101 |
∴ So the LCM of the given numbers is 3 x 1834 x 1101 = 6057702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6057702
Therefore, the GCF of Fractions 827/5502,659/3303 is 1/6057702
Least Common Multiple of 5502,3303 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 5502,3303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5502,3303) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(5502,3303) x common factors =3 x 1 = 3
LCM(5502,3303) = ( 5502 × 3303 ) / 3
LCM(5502,3303) = 18173106 / 3
LCM(5502,3303) = 6057702
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FAQs on GCF of Fractions of 827/5502, 659/3303
1. What is the HCF of 827,659?
The HCF of 827,659 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 827/5502, 659/3303?
Answer: GCF of Numerators as per given numbers 827/5502, 659/3303 is
GCF of Numerators i.e. for 827,659 is 1
LCM of denominators i.e. for 5502,3303 is 6057702.
Thus, GCF of Fractions is 1/6057702.Finally, GCF of Fractions for 827/5502, 659/3303 is 1/6057702.