GCF of 3267/886, 2583/178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3267/886, 2583/178 i.e 9/78854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3267/886, 2583/178.
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 3267/886,2583/178?
Given fractions are 3267/886,2583/178
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 3267/886,2583/178, numerators are 3267,2583
Denominators are 886,178
The GCF of 3267,2583 is 9 .
LCM of 886,178 is 78854.
The greatest common factor of 3267/886,2583/178 = [GCF of 3267,2583]/[LCM of 886,178]= 9/78854
Therefore, the GCF of 3267/886,2583/178 is 9/78854.
To find the highest common factor of 3267,2583, we have to find the factors of both numbers and list the highest common factor.
The factors of 3267 are 1, 3, 9, 11, 27, 33, 99, 121, 297, 363, 1089, 3267
The factors of 2583 are 1, 3, 7, 9, 21, 41, 63, 123, 287, 369, 861, 2583
The HCF of 3267,2583 is 9.
Lets's calculate GCF of 3267,2583
| 3 | 3267, 2583 |
| 3 | 1089, 861 |
| 363, 287 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3267,2583 By Matching Biggest Common Factor Method
Now, list down the factors of 3267
:1,3,9,11,27,33,99,121,297,363,1089,3267
Now, list down the factors of 2583
:1,3,7,9,21,41,63,123,287,369,861,2583
Greatest Common Factor
We found the factors 3267,2583 . The biggest common factor number is the GCF number.
So the greatest common factor 3267,2583 is 9.
Lets's calculate LCM of 886,178
| 2 | 886, 178 |
| 443, 89 |
∴ So the LCM of the given numbers is 2 x 443 x 89 = 78854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/78854
Therefore, the GCF of Fractions 3267/886,2583/178 is 9/78854
Least Common Multiple of 886,178 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 886,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,178) x common factors =2 x 1 = 2
LCM(886,178) = ( 886 × 178 ) / 2
LCM(886,178) = 157708 / 2
LCM(886,178) = 78854
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FAQs on GCF of Fractions of 3267/886, 2583/178
1. What is the HCF of 3267,2583?
The HCF of 3267,2583 is 9
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 3267/886, 2583/178?
Answer: GCF of Numerators as per given numbers 3267/886, 2583/178 is
GCF of Numerators i.e. for 3267,2583 is 9
LCM of denominators i.e. for 886,178 is 78854.
Thus, GCF of Fractions is 9/78854.Finally, GCF of Fractions for 3267/886, 2583/178 is 9/78854.