GCF of 1213/879, 6720/1723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1213/879, 6720/1723 i.e 1/1514517 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1213/879, 6720/1723.
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 1213/879,6720/1723?
Given fractions are 1213/879,6720/1723
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 1213/879,6720/1723, numerators are 1213,6720
Denominators are 879,1723
The GCF of 1213,6720 is 1 .
LCM of 879,1723 is 1514517.
The greatest common factor of 1213/879,6720/1723 = [GCF of 1213,6720]/[LCM of 879,1723]= 1/1514517
Therefore, the GCF of 1213/879,6720/1723 is 1/1514517.
To find the highest common factor of 1213,6720, we have to find the factors of both numbers and list the highest common factor.
The factors of 1213 are 1, 1213
The factors of 6720 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 64, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 420, 448, 480, 560, 672, 840, 960, 1120, 1344, 1680, 2240, 3360, 6720
The HCF of 1213,6720 is 1.
Lets's calculate GCF of 1213,6720
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1213,6720 By Matching Biggest Common Factor Method
Now, list down the factors of 1213
:1,1213
Now, list down the factors of 6720
:1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,64,70,80,84,96,105,112,120,140,160,168,192,210,224,240,280,320,336,420,448,480,560,672,840,960,1120,1344,1680,2240,3360,6720
Greatest Common Factor
We found the factors 1213,6720 . The biggest common factor number is the GCF number.
So the greatest common factor 1213,6720 is 1.
Lets's calculate LCM of 879,1723
Given numbers has no common factors except 1. So, there LCM is their product i.e 1514517
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1514517
Therefore, the GCF of Fractions 1213/879,6720/1723 is 1/1514517
Least Common Multiple of 879,1723 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 879,1723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,1723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,1723) x common factors =1 x 1 = 1
LCM(879,1723) = ( 879 × 1723 ) / 1
LCM(879,1723) = 1514517 / 1
LCM(879,1723) = 1514517
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FAQs on GCF of Fractions of 1213/879, 6720/1723
1. What is the HCF of 1213,6720?
The HCF of 1213,6720 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 1213/879, 6720/1723?
Answer: GCF of Numerators as per given numbers 1213/879, 6720/1723 is
GCF of Numerators i.e. for 1213,6720 is 1
LCM of denominators i.e. for 879,1723 is 1514517.
Thus, GCF of Fractions is 1/1514517.Finally, GCF of Fractions for 1213/879, 6720/1723 is 1/1514517.