GCF of 8995/294, 4789/4417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8995/294, 4789/4417 i.e 1/185514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8995/294, 4789/4417.
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 8995/294,4789/4417?
Given fractions are 8995/294,4789/4417
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 8995/294,4789/4417, numerators are 8995,4789
Denominators are 294,4417
The GCF of 8995,4789 is 1 .
LCM of 294,4417 is 185514.
The greatest common factor of 8995/294,4789/4417 = [GCF of 8995,4789]/[LCM of 294,4417]= 1/185514
Therefore, the GCF of 8995/294,4789/4417 is 1/185514.
To find the highest common factor of 8995,4789, we have to find the factors of both numbers and list the highest common factor.
The factors of 8995 are 1, 5, 7, 35, 257, 1285, 1799, 8995
The factors of 4789 are 1, 4789
The HCF of 8995,4789 is 1.
Lets's calculate GCF of 8995,4789
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8995,4789 By Matching Biggest Common Factor Method
Now, list down the factors of 8995
:1,5,7,35,257,1285,1799,8995
Now, list down the factors of 4789
:1,4789
Greatest Common Factor
We found the factors 8995,4789 . The biggest common factor number is the GCF number.
So the greatest common factor 8995,4789 is 1.
Lets's calculate LCM of 294,4417
| 7 | 294, 4417 |
| 42, 631 |
∴ So the LCM of the given numbers is 7 x 42 x 631 = 185514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185514
Therefore, the GCF of Fractions 8995/294,4789/4417 is 1/185514
Least Common Multiple of 294,4417 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 294,4417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,4417) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(294,4417) x common factors =7 x 1 = 7
LCM(294,4417) = ( 294 × 4417 ) / 7
LCM(294,4417) = 1298598 / 7
LCM(294,4417) = 185514
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FAQs on GCF of Fractions of 8995/294, 4789/4417
1. What is the HCF of 8995,4789?
The HCF of 8995,4789 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 8995/294, 4789/4417?
Answer: GCF of Numerators as per given numbers 8995/294, 4789/4417 is
GCF of Numerators i.e. for 8995,4789 is 1
LCM of denominators i.e. for 294,4417 is 185514.
Thus, GCF of Fractions is 1/185514.Finally, GCF of Fractions for 8995/294, 4789/4417 is 1/185514.