GCF of 2964/173, 5124/2214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2964/173, 5124/2214 i.e 12/383022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2964/173, 5124/2214.
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 2964/173,5124/2214?
Given fractions are 2964/173,5124/2214
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 2964/173,5124/2214, numerators are 2964,5124
Denominators are 173,2214
The GCF of 2964,5124 is 12 .
LCM of 173,2214 is 383022.
The greatest common factor of 2964/173,5124/2214 = [GCF of 2964,5124]/[LCM of 173,2214]= 12/383022
Therefore, the GCF of 2964/173,5124/2214 is 12/383022.
To find the highest common factor of 2964,5124, we have to find the factors of both numbers and list the highest common factor.
The factors of 2964 are 1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 494, 741, 988, 1482, 2964
The factors of 5124 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124
The HCF of 2964,5124 is 12.
Lets's calculate GCF of 2964,5124
| 2 | 2964, 5124 |
| 2 | 1482, 2562 |
| 3 | 741, 1281 |
| 247, 427 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2964,5124 By Matching Biggest Common Factor Method
Now, list down the factors of 2964
:1,2,3,4,6,12,13,19,26,38,39,52,57,76,78,114,156,228,247,494,741,988,1482,2964
Now, list down the factors of 5124
:1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124
Greatest Common Factor
We found the factors 2964,5124 . The biggest common factor number is the GCF number.
So the greatest common factor 2964,5124 is 12.
Lets's calculate LCM of 173,2214
Given numbers has no common factors except 1. So, there LCM is their product i.e 383022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/383022
Therefore, the GCF of Fractions 2964/173,5124/2214 is 12/383022
Least Common Multiple of 173,2214 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 173,2214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,2214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,2214) x common factors =1 x 1 = 1
LCM(173,2214) = ( 173 × 2214 ) / 1
LCM(173,2214) = 383022 / 1
LCM(173,2214) = 383022
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FAQs on GCF of Fractions of 2964/173, 5124/2214
1. What is the HCF of 2964,5124?
The HCF of 2964,5124 is 12
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 2964/173, 5124/2214?
Answer: GCF of Numerators as per given numbers 2964/173, 5124/2214 is
GCF of Numerators i.e. for 2964,5124 is 12
LCM of denominators i.e. for 173,2214 is 383022.
Thus, GCF of Fractions is 12/383022.Finally, GCF of Fractions for 2964/173, 5124/2214 is 12/383022.