GCF of 7818/100, 8985/6072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7818/100, 8985/6072 i.e 3/151800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7818/100, 8985/6072.
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 7818/100,8985/6072?
Given fractions are 7818/100,8985/6072
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 7818/100,8985/6072, numerators are 7818,8985
Denominators are 100,6072
The GCF of 7818,8985 is 3 .
LCM of 100,6072 is 151800.
The greatest common factor of 7818/100,8985/6072 = [GCF of 7818,8985]/[LCM of 100,6072]= 3/151800
Therefore, the GCF of 7818/100,8985/6072 is 3/151800.
To find the highest common factor of 7818,8985, we have to find the factors of both numbers and list the highest common factor.
The factors of 7818 are 1, 2, 3, 6, 1303, 2606, 3909, 7818
The factors of 8985 are 1, 3, 5, 15, 599, 1797, 2995, 8985
The HCF of 7818,8985 is 3.
Lets's calculate GCF of 7818,8985
| 3 | 7818, 8985 |
| 2606, 2995 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7818,8985 By Matching Biggest Common Factor Method
Now, list down the factors of 7818
:1,2,3,6,1303,2606,3909,7818
Now, list down the factors of 8985
:1,3,5,15,599,1797,2995,8985
Greatest Common Factor
We found the factors 7818,8985 . The biggest common factor number is the GCF number.
So the greatest common factor 7818,8985 is 3.
Lets's calculate LCM of 100,6072
| 2 | 100, 6072 |
| 2 | 50, 3036 |
| 25, 1518 |
∴ So the LCM of the given numbers is 2 x 2 x 25 x 1518 = 151800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/151800
Therefore, the GCF of Fractions 7818/100,8985/6072 is 3/151800
Least Common Multiple of 100,6072 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 100,6072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,6072) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(100,6072) x common factors =4 x 1 = 4
LCM(100,6072) = ( 100 × 6072 ) / 4
LCM(100,6072) = 607200 / 4
LCM(100,6072) = 151800
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FAQs on GCF of Fractions of 7818/100, 8985/6072
1. What is the HCF of 7818,8985?
The HCF of 7818,8985 is 3
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 7818/100, 8985/6072?
Answer: GCF of Numerators as per given numbers 7818/100, 8985/6072 is
GCF of Numerators i.e. for 7818,8985 is 3
LCM of denominators i.e. for 100,6072 is 151800.
Thus, GCF of Fractions is 3/151800.Finally, GCF of Fractions for 7818/100, 8985/6072 is 3/151800.