GCF of 6814/724, 4020/4718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6814/724, 4020/4718 i.e 2/1707916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6814/724, 4020/4718.
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 6814/724,4020/4718?
Given fractions are 6814/724,4020/4718
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 6814/724,4020/4718, numerators are 6814,4020
Denominators are 724,4718
The GCF of 6814,4020 is 2 .
LCM of 724,4718 is 1707916.
The greatest common factor of 6814/724,4020/4718 = [GCF of 6814,4020]/[LCM of 724,4718]= 2/1707916
Therefore, the GCF of 6814/724,4020/4718 is 2/1707916.
To find the highest common factor of 6814,4020, we have to find the factors of both numbers and list the highest common factor.
The factors of 6814 are 1, 2, 3407, 6814
The factors of 4020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010, 4020
The HCF of 6814,4020 is 2.
Lets's calculate GCF of 6814,4020
| 2 | 6814, 4020 |
| 3407, 2010 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6814,4020 By Matching Biggest Common Factor Method
Now, list down the factors of 6814
:1,2,3407,6814
Now, list down the factors of 4020
:1,2,3,4,5,6,10,12,15,20,30,60,67,134,201,268,335,402,670,804,1005,1340,2010,4020
Greatest Common Factor
We found the factors 6814,4020 . The biggest common factor number is the GCF number.
So the greatest common factor 6814,4020 is 2.
Lets's calculate LCM of 724,4718
| 2 | 724, 4718 |
| 362, 2359 |
∴ So the LCM of the given numbers is 2 x 362 x 2359 = 1707916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1707916
Therefore, the GCF of Fractions 6814/724,4020/4718 is 2/1707916
Least Common Multiple of 724,4718 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 724,4718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,4718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,4718) x common factors =2 x 1 = 2
LCM(724,4718) = ( 724 × 4718 ) / 2
LCM(724,4718) = 3415832 / 2
LCM(724,4718) = 1707916
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FAQs on GCF of Fractions of 6814/724, 4020/4718
1. What is the HCF of 6814,4020?
The HCF of 6814,4020 is 2
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 6814/724, 4020/4718?
Answer: GCF of Numerators as per given numbers 6814/724, 4020/4718 is
GCF of Numerators i.e. for 6814,4020 is 2
LCM of denominators i.e. for 724,4718 is 1707916.
Thus, GCF of Fractions is 2/1707916.Finally, GCF of Fractions for 6814/724, 4020/4718 is 2/1707916.