GCF of 1511/269, 2140/896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1511/269, 2140/896 i.e 1/241024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1511/269, 2140/896.
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 1511/269,2140/896?
Given fractions are 1511/269,2140/896
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 1511/269,2140/896, numerators are 1511,2140
Denominators are 269,896
The GCF of 1511,2140 is 1 .
LCM of 269,896 is 241024.
The greatest common factor of 1511/269,2140/896 = [GCF of 1511,2140]/[LCM of 269,896]= 1/241024
Therefore, the GCF of 1511/269,2140/896 is 1/241024.
To find the highest common factor of 1511,2140, we have to find the factors of both numbers and list the highest common factor.
The factors of 1511 are 1, 1511
The factors of 2140 are 1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140
The HCF of 1511,2140 is 1.
Lets's calculate GCF of 1511,2140
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1511,2140 By Matching Biggest Common Factor Method
Now, list down the factors of 1511
:1,1511
Now, list down the factors of 2140
:1,2,4,5,10,20,107,214,428,535,1070,2140
Greatest Common Factor
We found the factors 1511,2140 . The biggest common factor number is the GCF number.
So the greatest common factor 1511,2140 is 1.
Lets's calculate LCM of 269,896
Given numbers has no common factors except 1. So, there LCM is their product i.e 241024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/241024
Therefore, the GCF of Fractions 1511/269,2140/896 is 1/241024
Least Common Multiple of 269,896 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 269,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,896) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,896) x common factors =1 x 1 = 1
LCM(269,896) = ( 269 × 896 ) / 1
LCM(269,896) = 241024 / 1
LCM(269,896) = 241024
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1511/269, 2140/896
1. What is the HCF of 1511,2140?
The HCF of 1511,2140 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 1511/269, 2140/896?
Answer: GCF of Numerators as per given numbers 1511/269, 2140/896 is
GCF of Numerators i.e. for 1511,2140 is 1
LCM of denominators i.e. for 269,896 is 241024.
Thus, GCF of Fractions is 1/241024.Finally, GCF of Fractions for 1511/269, 2140/896 is 1/241024.