GCF of 6087/919, 6837/3202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6087/919, 6837/3202 i.e 3/2942638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6087/919, 6837/3202.
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 6087/919,6837/3202?
Given fractions are 6087/919,6837/3202
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 6087/919,6837/3202, numerators are 6087,6837
Denominators are 919,3202
The GCF of 6087,6837 is 3 .
LCM of 919,3202 is 2942638.
The greatest common factor of 6087/919,6837/3202 = [GCF of 6087,6837]/[LCM of 919,3202]= 3/2942638
Therefore, the GCF of 6087/919,6837/3202 is 3/2942638.
To find the highest common factor of 6087,6837, we have to find the factors of both numbers and list the highest common factor.
The factors of 6087 are 1, 3, 2029, 6087
The factors of 6837 are 1, 3, 43, 53, 129, 159, 2279, 6837
The HCF of 6087,6837 is 3.
Lets's calculate GCF of 6087,6837
| 3 | 6087, 6837 |
| 2029, 2279 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6087,6837 By Matching Biggest Common Factor Method
Now, list down the factors of 6087
:1,3,2029,6087
Now, list down the factors of 6837
:1,3,43,53,129,159,2279,6837
Greatest Common Factor
We found the factors 6087,6837 . The biggest common factor number is the GCF number.
So the greatest common factor 6087,6837 is 3.
Lets's calculate LCM of 919,3202
Given numbers has no common factors except 1. So, there LCM is their product i.e 2942638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2942638
Therefore, the GCF of Fractions 6087/919,6837/3202 is 3/2942638
Least Common Multiple of 919,3202 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 919,3202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,3202) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,3202) x common factors =1 x 1 = 1
LCM(919,3202) = ( 919 × 3202 ) / 1
LCM(919,3202) = 2942638 / 1
LCM(919,3202) = 2942638
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FAQs on GCF of Fractions of 6087/919, 6837/3202
1. What is the HCF of 6087,6837?
The HCF of 6087,6837 is 3
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 6087/919, 6837/3202?
Answer: GCF of Numerators as per given numbers 6087/919, 6837/3202 is
GCF of Numerators i.e. for 6087,6837 is 3
LCM of denominators i.e. for 919,3202 is 2942638.
Thus, GCF of Fractions is 3/2942638.Finally, GCF of Fractions for 6087/919, 6837/3202 is 3/2942638.