GCF of 2501/270, 8504/2084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2501/270, 8504/2084 i.e 1/281340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2501/270, 8504/2084.
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 2501/270,8504/2084?
Given fractions are 2501/270,8504/2084
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 2501/270,8504/2084, numerators are 2501,8504
Denominators are 270,2084
The GCF of 2501,8504 is 1 .
LCM of 270,2084 is 281340.
The greatest common factor of 2501/270,8504/2084 = [GCF of 2501,8504]/[LCM of 270,2084]= 1/281340
Therefore, the GCF of 2501/270,8504/2084 is 1/281340.
To find the highest common factor of 2501,8504, we have to find the factors of both numbers and list the highest common factor.
The factors of 2501 are 1, 41, 61, 2501
The factors of 8504 are 1, 2, 4, 8, 1063, 2126, 4252, 8504
The HCF of 2501,8504 is 1.
Lets's calculate GCF of 2501,8504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2501,8504 By Matching Biggest Common Factor Method
Now, list down the factors of 2501
:1,41,61,2501
Now, list down the factors of 8504
:1,2,4,8,1063,2126,4252,8504
Greatest Common Factor
We found the factors 2501,8504 . The biggest common factor number is the GCF number.
So the greatest common factor 2501,8504 is 1.
Lets's calculate LCM of 270,2084
| 2 | 270, 2084 |
| 135, 1042 |
∴ So the LCM of the given numbers is 2 x 135 x 1042 = 281340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281340
Therefore, the GCF of Fractions 2501/270,8504/2084 is 1/281340
Least Common Multiple of 270,2084 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 270,2084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,2084) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(270,2084) x common factors =2 x 1 = 2
LCM(270,2084) = ( 270 × 2084 ) / 2
LCM(270,2084) = 562680 / 2
LCM(270,2084) = 281340
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2501/270, 8504/2084
1. What is the HCF of 2501,8504?
The HCF of 2501,8504 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 2501/270, 8504/2084?
Answer: GCF of Numerators as per given numbers 2501/270, 8504/2084 is
GCF of Numerators i.e. for 2501,8504 is 1
LCM of denominators i.e. for 270,2084 is 281340.
Thus, GCF of Fractions is 1/281340.Finally, GCF of Fractions for 2501/270, 8504/2084 is 1/281340.