GCF of 4814/345, 6814/9537
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4814/345, 6814/9537 i.e 2/1096755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4814/345, 6814/9537.
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 4814/345,6814/9537?
Given fractions are 4814/345,6814/9537
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 4814/345,6814/9537, numerators are 4814,6814
Denominators are 345,9537
The GCF of 4814,6814 is 2 .
LCM of 345,9537 is 1096755.
The greatest common factor of 4814/345,6814/9537 = [GCF of 4814,6814]/[LCM of 345,9537]= 2/1096755
Therefore, the GCF of 4814/345,6814/9537 is 2/1096755.
To find the highest common factor of 4814,6814, we have to find the factors of both numbers and list the highest common factor.
The factors of 4814 are 1, 2, 29, 58, 83, 166, 2407, 4814
The factors of 6814 are 1, 2, 3407, 6814
The HCF of 4814,6814 is 2.
Lets's calculate GCF of 4814,6814
| 2 | 4814, 6814 |
| 2407, 3407 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4814,6814 By Matching Biggest Common Factor Method
Now, list down the factors of 4814
:1,2,29,58,83,166,2407,4814
Now, list down the factors of 6814
:1,2,3407,6814
Greatest Common Factor
We found the factors 4814,6814 . The biggest common factor number is the GCF number.
So the greatest common factor 4814,6814 is 2.
Lets's calculate LCM of 345,9537
| 3 | 345, 9537 |
| 115, 3179 |
∴ So the LCM of the given numbers is 3 x 115 x 3179 = 1096755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1096755
Therefore, the GCF of Fractions 4814/345,6814/9537 is 2/1096755
Least Common Multiple of 345,9537 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 345,9537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,9537) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(345,9537) x common factors =3 x 1 = 3
LCM(345,9537) = ( 345 × 9537 ) / 3
LCM(345,9537) = 3290265 / 3
LCM(345,9537) = 1096755
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FAQs on GCF of Fractions of 4814/345, 6814/9537
1. What is the HCF of 4814,6814?
The HCF of 4814,6814 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 4814/345, 6814/9537?
Answer: GCF of Numerators as per given numbers 4814/345, 6814/9537 is
GCF of Numerators i.e. for 4814,6814 is 2
LCM of denominators i.e. for 345,9537 is 1096755.
Thus, GCF of Fractions is 2/1096755.Finally, GCF of Fractions for 4814/345, 6814/9537 is 2/1096755.