GCF of 5538/132, 2961/3263
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5538/132, 2961/3263 i.e 3/430716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5538/132, 2961/3263.
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 5538/132,2961/3263?
Given fractions are 5538/132,2961/3263
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 5538/132,2961/3263, numerators are 5538,2961
Denominators are 132,3263
The GCF of 5538,2961 is 3 .
LCM of 132,3263 is 430716.
The greatest common factor of 5538/132,2961/3263 = [GCF of 5538,2961]/[LCM of 132,3263]= 3/430716
Therefore, the GCF of 5538/132,2961/3263 is 3/430716.
To find the highest common factor of 5538,2961, we have to find the factors of both numbers and list the highest common factor.
The factors of 5538 are 1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538
The factors of 2961 are 1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987, 2961
The HCF of 5538,2961 is 3.
Lets's calculate GCF of 5538,2961
| 3 | 5538, 2961 |
| 1846, 987 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5538,2961 By Matching Biggest Common Factor Method
Now, list down the factors of 5538
:1,2,3,6,13,26,39,71,78,142,213,426,923,1846,2769,5538
Now, list down the factors of 2961
:1,3,7,9,21,47,63,141,329,423,987,2961
Greatest Common Factor
We found the factors 5538,2961 . The biggest common factor number is the GCF number.
So the greatest common factor 5538,2961 is 3.
Lets's calculate LCM of 132,3263
Given numbers has no common factors except 1. So, there LCM is their product i.e 430716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/430716
Therefore, the GCF of Fractions 5538/132,2961/3263 is 3/430716
Least Common Multiple of 132,3263 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 132,3263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,3263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(132,3263) x common factors =1 x 1 = 1
LCM(132,3263) = ( 132 × 3263 ) / 1
LCM(132,3263) = 430716 / 1
LCM(132,3263) = 430716
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FAQs on GCF of Fractions of 5538/132, 2961/3263
1. What is the HCF of 5538,2961?
The HCF of 5538,2961 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 5538/132, 2961/3263?
Answer: GCF of Numerators as per given numbers 5538/132, 2961/3263 is
GCF of Numerators i.e. for 5538,2961 is 3
LCM of denominators i.e. for 132,3263 is 430716.
Thus, GCF of Fractions is 3/430716.Finally, GCF of Fractions for 5538/132, 2961/3263 is 3/430716.