GCF of 6918/469, 6178/5370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6918/469, 6178/5370 i.e 2/2518530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6918/469, 6178/5370.
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 6918/469,6178/5370?
Given fractions are 6918/469,6178/5370
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 6918/469,6178/5370, numerators are 6918,6178
Denominators are 469,5370
The GCF of 6918,6178 is 2 .
LCM of 469,5370 is 2518530.
The greatest common factor of 6918/469,6178/5370 = [GCF of 6918,6178]/[LCM of 469,5370]= 2/2518530
Therefore, the GCF of 6918/469,6178/5370 is 2/2518530.
To find the highest common factor of 6918,6178, we have to find the factors of both numbers and list the highest common factor.
The factors of 6918 are 1, 2, 3, 6, 1153, 2306, 3459, 6918
The factors of 6178 are 1, 2, 3089, 6178
The HCF of 6918,6178 is 2.
Lets's calculate GCF of 6918,6178
| 2 | 6918, 6178 |
| 3459, 3089 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6918,6178 By Matching Biggest Common Factor Method
Now, list down the factors of 6918
:1,2,3,6,1153,2306,3459,6918
Now, list down the factors of 6178
:1,2,3089,6178
Greatest Common Factor
We found the factors 6918,6178 . The biggest common factor number is the GCF number.
So the greatest common factor 6918,6178 is 2.
Lets's calculate LCM of 469,5370
Given numbers has no common factors except 1. So, there LCM is their product i.e 2518530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2518530
Therefore, the GCF of Fractions 6918/469,6178/5370 is 2/2518530
Least Common Multiple of 469,5370 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 469,5370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,5370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,5370) x common factors =1 x 1 = 1
LCM(469,5370) = ( 469 × 5370 ) / 1
LCM(469,5370) = 2518530 / 1
LCM(469,5370) = 2518530
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6918/469, 6178/5370
1. What is the HCF of 6918,6178?
The HCF of 6918,6178 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 6918/469, 6178/5370?
Answer: GCF of Numerators as per given numbers 6918/469, 6178/5370 is
GCF of Numerators i.e. for 6918,6178 is 2
LCM of denominators i.e. for 469,5370 is 2518530.
Thus, GCF of Fractions is 2/2518530.Finally, GCF of Fractions for 6918/469, 6178/5370 is 2/2518530.