GCF of 2904/402, 2394/7442
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2904/402, 2394/7442 i.e 6/1495842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2904/402, 2394/7442.
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 2904/402,2394/7442?
Given fractions are 2904/402,2394/7442
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 2904/402,2394/7442, numerators are 2904,2394
Denominators are 402,7442
The GCF of 2904,2394 is 6 .
LCM of 402,7442 is 1495842.
The greatest common factor of 2904/402,2394/7442 = [GCF of 2904,2394]/[LCM of 402,7442]= 6/1495842
Therefore, the GCF of 2904/402,2394/7442 is 6/1495842.
To find the highest common factor of 2904,2394, we have to find the factors of both numbers and list the highest common factor.
The factors of 2904 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452, 2904
The factors of 2394 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197, 2394
The HCF of 2904,2394 is 6.
Lets's calculate GCF of 2904,2394
| 2 | 2904, 2394 |
| 3 | 1452, 1197 |
| 484, 399 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2904,2394 By Matching Biggest Common Factor Method
Now, list down the factors of 2904
:1,2,3,4,6,8,11,12,22,24,33,44,66,88,121,132,242,264,363,484,726,968,1452,2904
Now, list down the factors of 2394
:1,2,3,6,7,9,14,18,19,21,38,42,57,63,114,126,133,171,266,342,399,798,1197,2394
Greatest Common Factor
We found the factors 2904,2394 . The biggest common factor number is the GCF number.
So the greatest common factor 2904,2394 is 6.
Lets's calculate LCM of 402,7442
| 2 | 402, 7442 |
| 201, 3721 |
∴ So the LCM of the given numbers is 2 x 201 x 3721 = 1495842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1495842
Therefore, the GCF of Fractions 2904/402,2394/7442 is 6/1495842
Least Common Multiple of 402,7442 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 402,7442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,7442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(402,7442) x common factors =2 x 1 = 2
LCM(402,7442) = ( 402 × 7442 ) / 2
LCM(402,7442) = 2991684 / 2
LCM(402,7442) = 1495842
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FAQs on GCF of Fractions of 2904/402, 2394/7442
1. What is the HCF of 2904,2394?
The HCF of 2904,2394 is 6
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 2904/402, 2394/7442?
Answer: GCF of Numerators as per given numbers 2904/402, 2394/7442 is
GCF of Numerators i.e. for 2904,2394 is 6
LCM of denominators i.e. for 402,7442 is 1495842.
Thus, GCF of Fractions is 6/1495842.Finally, GCF of Fractions for 2904/402, 2394/7442 is 6/1495842.