GCF of 7800/568, 3410/5517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7800/568, 3410/5517 i.e 10/3133656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7800/568, 3410/5517.
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 7800/568,3410/5517?
Given fractions are 7800/568,3410/5517
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 7800/568,3410/5517, numerators are 7800,3410
Denominators are 568,5517
The GCF of 7800,3410 is 10 .
LCM of 568,5517 is 3133656.
The greatest common factor of 7800/568,3410/5517 = [GCF of 7800,3410]/[LCM of 568,5517]= 10/3133656
Therefore, the GCF of 7800/568,3410/5517 is 10/3133656.
To find the highest common factor of 7800,3410, we have to find the factors of both numbers and list the highest common factor.
The factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800
The factors of 3410 are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410
The HCF of 7800,3410 is 10.
Lets's calculate GCF of 7800,3410
| 2 | 7800, 3410 |
| 5 | 3900, 1705 |
| 780, 341 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7800,3410 By Matching Biggest Common Factor Method
Now, list down the factors of 7800
:1,2,3,4,5,6,8,10,12,13,15,20,24,25,26,30,39,40,50,52,60,65,75,78,100,104,120,130,150,156,195,200,260,300,312,325,390,520,600,650,780,975,1300,1560,1950,2600,3900,7800
Now, list down the factors of 3410
:1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410
Greatest Common Factor
We found the factors 7800,3410 . The biggest common factor number is the GCF number.
So the greatest common factor 7800,3410 is 10.
Lets's calculate LCM of 568,5517
Given numbers has no common factors except 1. So, there LCM is their product i.e 3133656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3133656
Therefore, the GCF of Fractions 7800/568,3410/5517 is 10/3133656
Least Common Multiple of 568,5517 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 568,5517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,5517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(568,5517) x common factors =1 x 1 = 1
LCM(568,5517) = ( 568 × 5517 ) / 1
LCM(568,5517) = 3133656 / 1
LCM(568,5517) = 3133656
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7800/568, 3410/5517
1. What is the HCF of 7800,3410?
The HCF of 7800,3410 is 10
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 7800/568, 3410/5517?
Answer: GCF of Numerators as per given numbers 7800/568, 3410/5517 is
GCF of Numerators i.e. for 7800,3410 is 10
LCM of denominators i.e. for 568,5517 is 3133656.
Thus, GCF of Fractions is 10/3133656.Finally, GCF of Fractions for 7800/568, 3410/5517 is 10/3133656.