GCF of 8812/418, 9067/7000
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8812/418, 9067/7000 i.e 1/1463000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8812/418, 9067/7000.
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 8812/418,9067/7000?
Given fractions are 8812/418,9067/7000
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 8812/418,9067/7000, numerators are 8812,9067
Denominators are 418,7000
The GCF of 8812,9067 is 1 .
LCM of 418,7000 is 1463000.
The greatest common factor of 8812/418,9067/7000 = [GCF of 8812,9067]/[LCM of 418,7000]= 1/1463000
Therefore, the GCF of 8812/418,9067/7000 is 1/1463000.
To find the highest common factor of 8812,9067, we have to find the factors of both numbers and list the highest common factor.
The factors of 8812 are 1, 2, 4, 2203, 4406, 8812
The factors of 9067 are 1, 9067
The HCF of 8812,9067 is 1.
Lets's calculate GCF of 8812,9067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8812,9067 By Matching Biggest Common Factor Method
Now, list down the factors of 8812
:1,2,4,2203,4406,8812
Now, list down the factors of 9067
:1,9067
Greatest Common Factor
We found the factors 8812,9067 . The biggest common factor number is the GCF number.
So the greatest common factor 8812,9067 is 1.
Lets's calculate LCM of 418,7000
| 2 | 418, 7000 |
| 209, 3500 |
∴ So the LCM of the given numbers is 2 x 209 x 3500 = 1463000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1463000
Therefore, the GCF of Fractions 8812/418,9067/7000 is 1/1463000
Least Common Multiple of 418,7000 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 418,7000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,7000) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,7000) x common factors =2 x 1 = 2
LCM(418,7000) = ( 418 × 7000 ) / 2
LCM(418,7000) = 2926000 / 2
LCM(418,7000) = 1463000
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FAQs on GCF of Fractions of 8812/418, 9067/7000
1. What is the HCF of 8812,9067?
The HCF of 8812,9067 is 1
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 8812/418, 9067/7000?
Answer: GCF of Numerators as per given numbers 8812/418, 9067/7000 is
GCF of Numerators i.e. for 8812,9067 is 1
LCM of denominators i.e. for 418,7000 is 1463000.
Thus, GCF of Fractions is 1/1463000.Finally, GCF of Fractions for 8812/418, 9067/7000 is 1/1463000.