GCF of 8422/745, 5846/6078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8422/745, 5846/6078 i.e 2/4528110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8422/745, 5846/6078.
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 8422/745,5846/6078?
Given fractions are 8422/745,5846/6078
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 8422/745,5846/6078, numerators are 8422,5846
Denominators are 745,6078
The GCF of 8422,5846 is 2 .
LCM of 745,6078 is 4528110.
The greatest common factor of 8422/745,5846/6078 = [GCF of 8422,5846]/[LCM of 745,6078]= 2/4528110
Therefore, the GCF of 8422/745,5846/6078 is 2/4528110.
To find the highest common factor of 8422,5846, we have to find the factors of both numbers and list the highest common factor.
The factors of 8422 are 1, 2, 4211, 8422
The factors of 5846 are 1, 2, 37, 74, 79, 158, 2923, 5846
The HCF of 8422,5846 is 2.
Lets's calculate GCF of 8422,5846
| 2 | 8422, 5846 |
| 4211, 2923 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8422,5846 By Matching Biggest Common Factor Method
Now, list down the factors of 8422
:1,2,4211,8422
Now, list down the factors of 5846
:1,2,37,74,79,158,2923,5846
Greatest Common Factor
We found the factors 8422,5846 . The biggest common factor number is the GCF number.
So the greatest common factor 8422,5846 is 2.
Lets's calculate LCM of 745,6078
Given numbers has no common factors except 1. So, there LCM is their product i.e 4528110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4528110
Therefore, the GCF of Fractions 8422/745,5846/6078 is 2/4528110
Least Common Multiple of 745,6078 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 745,6078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,6078) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,6078) x common factors =1 x 1 = 1
LCM(745,6078) = ( 745 × 6078 ) / 1
LCM(745,6078) = 4528110 / 1
LCM(745,6078) = 4528110
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FAQs on GCF of Fractions of 8422/745, 5846/6078
1. What is the HCF of 8422,5846?
The HCF of 8422,5846 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 8422/745, 5846/6078?
Answer: GCF of Numerators as per given numbers 8422/745, 5846/6078 is
GCF of Numerators i.e. for 8422,5846 is 2
LCM of denominators i.e. for 745,6078 is 4528110.
Thus, GCF of Fractions is 2/4528110.Finally, GCF of Fractions for 8422/745, 5846/6078 is 2/4528110.