GCF of 8914/433, 6846/2709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8914/433, 6846/2709 i.e 2/1172997 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8914/433, 6846/2709.
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 8914/433,6846/2709?
Given fractions are 8914/433,6846/2709
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 8914/433,6846/2709, numerators are 8914,6846
Denominators are 433,2709
The GCF of 8914,6846 is 2 .
LCM of 433,2709 is 1172997.
The greatest common factor of 8914/433,6846/2709 = [GCF of 8914,6846]/[LCM of 433,2709]= 2/1172997
Therefore, the GCF of 8914/433,6846/2709 is 2/1172997.
To find the highest common factor of 8914,6846, we have to find the factors of both numbers and list the highest common factor.
The factors of 8914 are 1, 2, 4457, 8914
The factors of 6846 are 1, 2, 3, 6, 7, 14, 21, 42, 163, 326, 489, 978, 1141, 2282, 3423, 6846
The HCF of 8914,6846 is 2.
Lets's calculate GCF of 8914,6846
| 2 | 8914, 6846 |
| 4457, 3423 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8914,6846 By Matching Biggest Common Factor Method
Now, list down the factors of 8914
:1,2,4457,8914
Now, list down the factors of 6846
:1,2,3,6,7,14,21,42,163,326,489,978,1141,2282,3423,6846
Greatest Common Factor
We found the factors 8914,6846 . The biggest common factor number is the GCF number.
So the greatest common factor 8914,6846 is 2.
Lets's calculate LCM of 433,2709
Given numbers has no common factors except 1. So, there LCM is their product i.e 1172997
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1172997
Therefore, the GCF of Fractions 8914/433,6846/2709 is 2/1172997
Least Common Multiple of 433,2709 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 433,2709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,2709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,2709) x common factors =1 x 1 = 1
LCM(433,2709) = ( 433 × 2709 ) / 1
LCM(433,2709) = 1172997 / 1
LCM(433,2709) = 1172997
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FAQs on GCF of Fractions of 8914/433, 6846/2709
1. What is the HCF of 8914,6846?
The HCF of 8914,6846 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 8914/433, 6846/2709?
Answer: GCF of Numerators as per given numbers 8914/433, 6846/2709 is
GCF of Numerators i.e. for 8914,6846 is 2
LCM of denominators i.e. for 433,2709 is 1172997.
Thus, GCF of Fractions is 2/1172997.Finally, GCF of Fractions for 8914/433, 6846/2709 is 2/1172997.