GCF of 2999/477, 9578/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2999/477, 9578/900 i.e 1/47700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2999/477, 9578/900.
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 2999/477,9578/900?
Given fractions are 2999/477,9578/900
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 2999/477,9578/900, numerators are 2999,9578
Denominators are 477,900
The GCF of 2999,9578 is 1 .
LCM of 477,900 is 47700.
The greatest common factor of 2999/477,9578/900 = [GCF of 2999,9578]/[LCM of 477,900]= 1/47700
Therefore, the GCF of 2999/477,9578/900 is 1/47700.
To find the highest common factor of 2999,9578, we have to find the factors of both numbers and list the highest common factor.
The factors of 2999 are 1, 2999
The factors of 9578 are 1, 2, 4789, 9578
The HCF of 2999,9578 is 1.
Lets's calculate GCF of 2999,9578
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2999,9578 By Matching Biggest Common Factor Method
Now, list down the factors of 2999
:1,2999
Now, list down the factors of 9578
:1,2,4789,9578
Greatest Common Factor
We found the factors 2999,9578 . The biggest common factor number is the GCF number.
So the greatest common factor 2999,9578 is 1.
Lets's calculate LCM of 477,900
| 3 | 477, 900 |
| 3 | 159, 300 |
| 53, 100 |
∴ So the LCM of the given numbers is 3 x 3 x 53 x 100 = 47700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47700
Therefore, the GCF of Fractions 2999/477,9578/900 is 1/47700
Least Common Multiple of 477,900 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 477,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,900) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(477,900) x common factors =9 x 1 = 9
LCM(477,900) = ( 477 × 900 ) / 9
LCM(477,900) = 429300 / 9
LCM(477,900) = 47700
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FAQs on GCF of Fractions of 2999/477, 9578/900
1. What is the HCF of 2999,9578?
The HCF of 2999,9578 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 2999/477, 9578/900?
Answer: GCF of Numerators as per given numbers 2999/477, 9578/900 is
GCF of Numerators i.e. for 2999,9578 is 1
LCM of denominators i.e. for 477,900 is 47700.
Thus, GCF of Fractions is 1/47700.Finally, GCF of Fractions for 2999/477, 9578/900 is 1/47700.