GCF of 1321/509, 2268/2640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1321/509, 2268/2640 i.e 1/1343760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1321/509, 2268/2640.
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 1321/509,2268/2640?
Given fractions are 1321/509,2268/2640
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 1321/509,2268/2640, numerators are 1321,2268
Denominators are 509,2640
The GCF of 1321,2268 is 1 .
LCM of 509,2640 is 1343760.
The greatest common factor of 1321/509,2268/2640 = [GCF of 1321,2268]/[LCM of 509,2640]= 1/1343760
Therefore, the GCF of 1321/509,2268/2640 is 1/1343760.
To find the highest common factor of 1321,2268, we have to find the factors of both numbers and list the highest common factor.
The factors of 1321 are 1, 1321
The factors of 2268 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134, 2268
The HCF of 1321,2268 is 1.
Lets's calculate GCF of 1321,2268
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1321,2268 By Matching Biggest Common Factor Method
Now, list down the factors of 1321
:1,1321
Now, list down the factors of 2268
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,252,324,378,567,756,1134,2268
Greatest Common Factor
We found the factors 1321,2268 . The biggest common factor number is the GCF number.
So the greatest common factor 1321,2268 is 1.
Lets's calculate LCM of 509,2640
Given numbers has no common factors except 1. So, there LCM is their product i.e 1343760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1343760
Therefore, the GCF of Fractions 1321/509,2268/2640 is 1/1343760
Least Common Multiple of 509,2640 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 509,2640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,2640) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,2640) x common factors =1 x 1 = 1
LCM(509,2640) = ( 509 × 2640 ) / 1
LCM(509,2640) = 1343760 / 1
LCM(509,2640) = 1343760
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FAQs on GCF of Fractions of 1321/509, 2268/2640
1. What is the HCF of 1321,2268?
The HCF of 1321,2268 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 1321/509, 2268/2640?
Answer: GCF of Numerators as per given numbers 1321/509, 2268/2640 is
GCF of Numerators i.e. for 1321,2268 is 1
LCM of denominators i.e. for 509,2640 is 1343760.
Thus, GCF of Fractions is 1/1343760.Finally, GCF of Fractions for 1321/509, 2268/2640 is 1/1343760.