GCF of 2087/251, 7355/6618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2087/251, 7355/6618 i.e 1/1661118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2087/251, 7355/6618.
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 2087/251,7355/6618?
Given fractions are 2087/251,7355/6618
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 2087/251,7355/6618, numerators are 2087,7355
Denominators are 251,6618
The GCF of 2087,7355 is 1 .
LCM of 251,6618 is 1661118.
The greatest common factor of 2087/251,7355/6618 = [GCF of 2087,7355]/[LCM of 251,6618]= 1/1661118
Therefore, the GCF of 2087/251,7355/6618 is 1/1661118.
To find the highest common factor of 2087,7355, we have to find the factors of both numbers and list the highest common factor.
The factors of 2087 are 1, 2087
The factors of 7355 are 1, 5, 1471, 7355
The HCF of 2087,7355 is 1.
Lets's calculate GCF of 2087,7355
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2087,7355 By Matching Biggest Common Factor Method
Now, list down the factors of 2087
:1,2087
Now, list down the factors of 7355
:1,5,1471,7355
Greatest Common Factor
We found the factors 2087,7355 . The biggest common factor number is the GCF number.
So the greatest common factor 2087,7355 is 1.
Lets's calculate LCM of 251,6618
Given numbers has no common factors except 1. So, there LCM is their product i.e 1661118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1661118
Therefore, the GCF of Fractions 2087/251,7355/6618 is 1/1661118
Least Common Multiple of 251,6618 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 251,6618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,6618) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,6618) x common factors =1 x 1 = 1
LCM(251,6618) = ( 251 × 6618 ) / 1
LCM(251,6618) = 1661118 / 1
LCM(251,6618) = 1661118
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FAQs on GCF of Fractions of 2087/251, 7355/6618
1. What is the HCF of 2087,7355?
The HCF of 2087,7355 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 2087/251, 7355/6618?
Answer: GCF of Numerators as per given numbers 2087/251, 7355/6618 is
GCF of Numerators i.e. for 2087,7355 is 1
LCM of denominators i.e. for 251,6618 is 1661118.
Thus, GCF of Fractions is 1/1661118.Finally, GCF of Fractions for 2087/251, 7355/6618 is 1/1661118.