GCF of 2530/161, 2249/160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2530/161, 2249/160 i.e 1/25760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2530/161, 2249/160.
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 2530/161,2249/160?
Given fractions are 2530/161,2249/160
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 2530/161,2249/160, numerators are 2530,2249
Denominators are 161,160
The GCF of 2530,2249 is 1 .
LCM of 161,160 is 25760.
The greatest common factor of 2530/161,2249/160 = [GCF of 2530,2249]/[LCM of 161,160]= 1/25760
Therefore, the GCF of 2530/161,2249/160 is 1/25760.
To find the highest common factor of 2530,2249, we have to find the factors of both numbers and list the highest common factor.
The factors of 2530 are 1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 1265, 2530
The factors of 2249 are 1, 13, 173, 2249
The HCF of 2530,2249 is 1.
Lets's calculate GCF of 2530,2249
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2530,2249 By Matching Biggest Common Factor Method
Now, list down the factors of 2530
:1,2,5,10,11,22,23,46,55,110,115,230,253,506,1265,2530
Now, list down the factors of 2249
:1,13,173,2249
Greatest Common Factor
We found the factors 2530,2249 . The biggest common factor number is the GCF number.
So the greatest common factor 2530,2249 is 1.
Lets's calculate LCM of 161,160
Given numbers has no common factors except 1. So, there LCM is their product i.e 25760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25760
Therefore, the GCF of Fractions 2530/161,2249/160 is 1/25760
Least Common Multiple of 161,160 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 161,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,160) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,160) x common factors =1 x 1 = 1
LCM(161,160) = ( 161 × 160 ) / 1
LCM(161,160) = 25760 / 1
LCM(161,160) = 25760
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FAQs on GCF of Fractions of 2530/161, 2249/160
1. What is the HCF of 2530,2249?
The HCF of 2530,2249 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 2530/161, 2249/160?
Answer: GCF of Numerators as per given numbers 2530/161, 2249/160 is
GCF of Numerators i.e. for 2530,2249 is 1
LCM of denominators i.e. for 161,160 is 25760.
Thus, GCF of Fractions is 1/25760.Finally, GCF of Fractions for 2530/161, 2249/160 is 1/25760.