GCF of 9028/269, 2319/580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9028/269, 2319/580 i.e 1/156020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9028/269, 2319/580.
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 9028/269,2319/580?
Given fractions are 9028/269,2319/580
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 9028/269,2319/580, numerators are 9028,2319
Denominators are 269,580
The GCF of 9028,2319 is 1 .
LCM of 269,580 is 156020.
The greatest common factor of 9028/269,2319/580 = [GCF of 9028,2319]/[LCM of 269,580]= 1/156020
Therefore, the GCF of 9028/269,2319/580 is 1/156020.
To find the highest common factor of 9028,2319, we have to find the factors of both numbers and list the highest common factor.
The factors of 9028 are 1, 2, 4, 37, 61, 74, 122, 148, 244, 2257, 4514, 9028
The factors of 2319 are 1, 3, 773, 2319
The HCF of 9028,2319 is 1.
Lets's calculate GCF of 9028,2319
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9028,2319 By Matching Biggest Common Factor Method
Now, list down the factors of 9028
:1,2,4,37,61,74,122,148,244,2257,4514,9028
Now, list down the factors of 2319
:1,3,773,2319
Greatest Common Factor
We found the factors 9028,2319 . The biggest common factor number is the GCF number.
So the greatest common factor 9028,2319 is 1.
Lets's calculate LCM of 269,580
Given numbers has no common factors except 1. So, there LCM is their product i.e 156020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156020
Therefore, the GCF of Fractions 9028/269,2319/580 is 1/156020
Least Common Multiple of 269,580 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 269,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,580) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,580) x common factors =1 x 1 = 1
LCM(269,580) = ( 269 × 580 ) / 1
LCM(269,580) = 156020 / 1
LCM(269,580) = 156020
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FAQs on GCF of Fractions of 9028/269, 2319/580
1. What is the HCF of 9028,2319?
The HCF of 9028,2319 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 9028/269, 2319/580?
Answer: GCF of Numerators as per given numbers 9028/269, 2319/580 is
GCF of Numerators i.e. for 9028,2319 is 1
LCM of denominators i.e. for 269,580 is 156020.
Thus, GCF of Fractions is 1/156020.Finally, GCF of Fractions for 9028/269, 2319/580 is 1/156020.