GCF of 8220/435, 2830/2546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8220/435, 2830/2546 i.e 10/1107510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8220/435, 2830/2546.
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 8220/435,2830/2546?
Given fractions are 8220/435,2830/2546
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 8220/435,2830/2546, numerators are 8220,2830
Denominators are 435,2546
The GCF of 8220,2830 is 10 .
LCM of 435,2546 is 1107510.
The greatest common factor of 8220/435,2830/2546 = [GCF of 8220,2830]/[LCM of 435,2546]= 10/1107510
Therefore, the GCF of 8220/435,2830/2546 is 10/1107510.
To find the highest common factor of 8220,2830, we have to find the factors of both numbers and list the highest common factor.
The factors of 8220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220
The factors of 2830 are 1, 2, 5, 10, 283, 566, 1415, 2830
The HCF of 8220,2830 is 10.
Lets's calculate GCF of 8220,2830
| 2 | 8220, 2830 |
| 5 | 4110, 1415 |
| 822, 283 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8220,2830 By Matching Biggest Common Factor Method
Now, list down the factors of 8220
:1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220
Now, list down the factors of 2830
:1,2,5,10,283,566,1415,2830
Greatest Common Factor
We found the factors 8220,2830 . The biggest common factor number is the GCF number.
So the greatest common factor 8220,2830 is 10.
Lets's calculate LCM of 435,2546
Given numbers has no common factors except 1. So, there LCM is their product i.e 1107510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1107510
Therefore, the GCF of Fractions 8220/435,2830/2546 is 10/1107510
Least Common Multiple of 435,2546 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 435,2546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,2546) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(435,2546) x common factors =1 x 1 = 1
LCM(435,2546) = ( 435 × 2546 ) / 1
LCM(435,2546) = 1107510 / 1
LCM(435,2546) = 1107510
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FAQs on GCF of Fractions of 8220/435, 2830/2546
1. What is the HCF of 8220,2830?
The HCF of 8220,2830 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 8220/435, 2830/2546?
Answer: GCF of Numerators as per given numbers 8220/435, 2830/2546 is
GCF of Numerators i.e. for 8220,2830 is 10
LCM of denominators i.e. for 435,2546 is 1107510.
Thus, GCF of Fractions is 10/1107510.Finally, GCF of Fractions for 8220/435, 2830/2546 is 10/1107510.