GCF of 8080/760, 6720/3443
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8080/760, 6720/3443 i.e 80/2616680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8080/760, 6720/3443.
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 8080/760,6720/3443?
Given fractions are 8080/760,6720/3443
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 8080/760,6720/3443, numerators are 8080,6720
Denominators are 760,3443
The GCF of 8080,6720 is 80 .
LCM of 760,3443 is 2616680.
The greatest common factor of 8080/760,6720/3443 = [GCF of 8080,6720]/[LCM of 760,3443]= 80/2616680
Therefore, the GCF of 8080/760,6720/3443 is 80/2616680.
To find the highest common factor of 8080,6720, we have to find the factors of both numbers and list the highest common factor.
The factors of 8080 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 101, 202, 404, 505, 808, 1010, 1616, 2020, 4040, 8080
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 8080,6720 is 80.
Lets's calculate GCF of 8080,6720
| 2 | 8080, 6720 |
| 2 | 4040, 3360 |
| 2 | 2020, 1680 |
| 2 | 1010, 840 |
| 5 | 505, 420 |
| 101, 84 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 5 = 80
Greatest Common Factor of 8080,6720 By Matching Biggest Common Factor Method
Now, list down the factors of 8080
:1,2,4,5,8,10,16,20,40,80,101,202,404,505,808,1010,1616,2020,4040,8080
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 8080,6720 . The biggest common factor number is the GCF number.
So the greatest common factor 8080,6720 is 80.
Lets's calculate LCM of 760,3443
Given numbers has no common factors except 1. So, there LCM is their product i.e 2616680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 80/2616680
Therefore, the GCF of Fractions 8080/760,6720/3443 is 80/2616680
Least Common Multiple of 760,3443 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 760,3443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,3443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(760,3443) x common factors =1 x 1 = 1
LCM(760,3443) = ( 760 × 3443 ) / 1
LCM(760,3443) = 2616680 / 1
LCM(760,3443) = 2616680
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FAQs on GCF of Fractions of 8080/760, 6720/3443
1. What is the HCF of 8080,6720?
The HCF of 8080,6720 is 80
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 8080/760, 6720/3443?
Answer: GCF of Numerators as per given numbers 8080/760, 6720/3443 is
GCF of Numerators i.e. for 8080,6720 is 80
LCM of denominators i.e. for 760,3443 is 2616680.
Thus, GCF of Fractions is 80/2616680.Finally, GCF of Fractions for 8080/760, 6720/3443 is 80/2616680.