GCF of 2553/282, 8489/8057
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2553/282, 8489/8057 i.e 1/2272074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2553/282, 8489/8057.
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 2553/282,8489/8057?
Given fractions are 2553/282,8489/8057
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 2553/282,8489/8057, numerators are 2553,8489
Denominators are 282,8057
The GCF of 2553,8489 is 1 .
LCM of 282,8057 is 2272074.
The greatest common factor of 2553/282,8489/8057 = [GCF of 2553,8489]/[LCM of 282,8057]= 1/2272074
Therefore, the GCF of 2553/282,8489/8057 is 1/2272074.
To find the highest common factor of 2553,8489, we have to find the factors of both numbers and list the highest common factor.
The factors of 2553 are 1, 3, 23, 37, 69, 111, 851, 2553
The factors of 8489 are 1, 13, 653, 8489
The HCF of 2553,8489 is 1.
Lets's calculate GCF of 2553,8489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2553,8489 By Matching Biggest Common Factor Method
Now, list down the factors of 2553
:1,3,23,37,69,111,851,2553
Now, list down the factors of 8489
:1,13,653,8489
Greatest Common Factor
We found the factors 2553,8489 . The biggest common factor number is the GCF number.
So the greatest common factor 2553,8489 is 1.
Lets's calculate LCM of 282,8057
Given numbers has no common factors except 1. So, there LCM is their product i.e 2272074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2272074
Therefore, the GCF of Fractions 2553/282,8489/8057 is 1/2272074
Least Common Multiple of 282,8057 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 282,8057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,8057) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(282,8057) x common factors =1 x 1 = 1
LCM(282,8057) = ( 282 × 8057 ) / 1
LCM(282,8057) = 2272074 / 1
LCM(282,8057) = 2272074
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FAQs on GCF of Fractions of 2553/282, 8489/8057
1. What is the HCF of 2553,8489?
The HCF of 2553,8489 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 2553/282, 8489/8057?
Answer: GCF of Numerators as per given numbers 2553/282, 8489/8057 is
GCF of Numerators i.e. for 2553,8489 is 1
LCM of denominators i.e. for 282,8057 is 2272074.
Thus, GCF of Fractions is 1/2272074.Finally, GCF of Fractions for 2553/282, 8489/8057 is 1/2272074.