GCF of 2562/323, 4467/7150
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2562/323, 4467/7150 i.e 3/2309450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2562/323, 4467/7150.
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 2562/323,4467/7150?
Given fractions are 2562/323,4467/7150
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 2562/323,4467/7150, numerators are 2562,4467
Denominators are 323,7150
The GCF of 2562,4467 is 3 .
LCM of 323,7150 is 2309450.
The greatest common factor of 2562/323,4467/7150 = [GCF of 2562,4467]/[LCM of 323,7150]= 3/2309450
Therefore, the GCF of 2562/323,4467/7150 is 3/2309450.
To find the highest common factor of 2562,4467, we have to find the factors of both numbers and list the highest common factor.
The factors of 2562 are 1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281, 2562
The factors of 4467 are 1, 3, 1489, 4467
The HCF of 2562,4467 is 3.
Lets's calculate GCF of 2562,4467
| 3 | 2562, 4467 |
| 854, 1489 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2562,4467 By Matching Biggest Common Factor Method
Now, list down the factors of 2562
:1,2,3,6,7,14,21,42,61,122,183,366,427,854,1281,2562
Now, list down the factors of 4467
:1,3,1489,4467
Greatest Common Factor
We found the factors 2562,4467 . The biggest common factor number is the GCF number.
So the greatest common factor 2562,4467 is 3.
Lets's calculate LCM of 323,7150
Given numbers has no common factors except 1. So, there LCM is their product i.e 2309450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2309450
Therefore, the GCF of Fractions 2562/323,4467/7150 is 3/2309450
Least Common Multiple of 323,7150 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 323,7150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,7150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,7150) x common factors =1 x 1 = 1
LCM(323,7150) = ( 323 × 7150 ) / 1
LCM(323,7150) = 2309450 / 1
LCM(323,7150) = 2309450
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FAQs on GCF of Fractions of 2562/323, 4467/7150
1. What is the HCF of 2562,4467?
The HCF of 2562,4467 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 2562/323, 4467/7150?
Answer: GCF of Numerators as per given numbers 2562/323, 4467/7150 is
GCF of Numerators i.e. for 2562,4467 is 3
LCM of denominators i.e. for 323,7150 is 2309450.
Thus, GCF of Fractions is 3/2309450.Finally, GCF of Fractions for 2562/323, 4467/7150 is 3/2309450.