GCF of 4360/142, 6210/796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4360/142, 6210/796 i.e 10/56516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4360/142, 6210/796.
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 4360/142,6210/796?
Given fractions are 4360/142,6210/796
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 4360/142,6210/796, numerators are 4360,6210
Denominators are 142,796
The GCF of 4360,6210 is 10 .
LCM of 142,796 is 56516.
The greatest common factor of 4360/142,6210/796 = [GCF of 4360,6210]/[LCM of 142,796]= 10/56516
Therefore, the GCF of 4360/142,6210/796 is 10/56516.
To find the highest common factor of 4360,6210, we have to find the factors of both numbers and list the highest common factor.
The factors of 4360 are 1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180, 4360
The factors of 6210 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69, 90, 115, 135, 138, 207, 230, 270, 345, 414, 621, 690, 1035, 1242, 2070, 3105, 6210
The HCF of 4360,6210 is 10.
Lets's calculate GCF of 4360,6210
| 2 | 4360, 6210 |
| 5 | 2180, 3105 |
| 436, 621 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4360,6210 By Matching Biggest Common Factor Method
Now, list down the factors of 4360
:1,2,4,5,8,10,20,40,109,218,436,545,872,1090,2180,4360
Now, list down the factors of 6210
:1,2,3,5,6,9,10,15,18,23,27,30,45,46,54,69,90,115,135,138,207,230,270,345,414,621,690,1035,1242,2070,3105,6210
Greatest Common Factor
We found the factors 4360,6210 . The biggest common factor number is the GCF number.
So the greatest common factor 4360,6210 is 10.
Lets's calculate LCM of 142,796
| 2 | 142, 796 |
| 71, 398 |
∴ So the LCM of the given numbers is 2 x 71 x 398 = 56516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/56516
Therefore, the GCF of Fractions 4360/142,6210/796 is 10/56516
Least Common Multiple of 142,796 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 142,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,796) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,796) x common factors =2 x 1 = 2
LCM(142,796) = ( 142 × 796 ) / 2
LCM(142,796) = 113032 / 2
LCM(142,796) = 56516
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FAQs on GCF of Fractions of 4360/142, 6210/796
1. What is the HCF of 4360,6210?
The HCF of 4360,6210 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 4360/142, 6210/796?
Answer: GCF of Numerators as per given numbers 4360/142, 6210/796 is
GCF of Numerators i.e. for 4360,6210 is 10
LCM of denominators i.e. for 142,796 is 56516.
Thus, GCF of Fractions is 10/56516.Finally, GCF of Fractions for 4360/142, 6210/796 is 10/56516.