GCF of 9178/321, 7308/699
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9178/321, 7308/699 i.e 2/74793 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9178/321, 7308/699.
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 9178/321,7308/699?
Given fractions are 9178/321,7308/699
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 9178/321,7308/699, numerators are 9178,7308
Denominators are 321,699
The GCF of 9178,7308 is 2 .
LCM of 321,699 is 74793.
The greatest common factor of 9178/321,7308/699 = [GCF of 9178,7308]/[LCM of 321,699]= 2/74793
Therefore, the GCF of 9178/321,7308/699 is 2/74793.
To find the highest common factor of 9178,7308, we have to find the factors of both numbers and list the highest common factor.
The factors of 9178 are 1, 2, 13, 26, 353, 706, 4589, 9178
The factors of 7308 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 29, 36, 42, 58, 63, 84, 87, 116, 126, 174, 203, 252, 261, 348, 406, 522, 609, 812, 1044, 1218, 1827, 2436, 3654, 7308
The HCF of 9178,7308 is 2.
Lets's calculate GCF of 9178,7308
| 2 | 9178, 7308 |
| 4589, 3654 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9178,7308 By Matching Biggest Common Factor Method
Now, list down the factors of 9178
:1,2,13,26,353,706,4589,9178
Now, list down the factors of 7308
:1,2,3,4,6,7,9,12,14,18,21,28,29,36,42,58,63,84,87,116,126,174,203,252,261,348,406,522,609,812,1044,1218,1827,2436,3654,7308
Greatest Common Factor
We found the factors 9178,7308 . The biggest common factor number is the GCF number.
So the greatest common factor 9178,7308 is 2.
Lets's calculate LCM of 321,699
| 3 | 321, 699 |
| 107, 233 |
∴ So the LCM of the given numbers is 3 x 107 x 233 = 74793
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74793
Therefore, the GCF of Fractions 9178/321,7308/699 is 2/74793
Least Common Multiple of 321,699 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 321,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,699) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(321,699) x common factors =3 x 1 = 3
LCM(321,699) = ( 321 × 699 ) / 3
LCM(321,699) = 224379 / 3
LCM(321,699) = 74793
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FAQs on GCF of Fractions of 9178/321, 7308/699
1. What is the HCF of 9178,7308?
The HCF of 9178,7308 is 2
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 9178/321, 7308/699?
Answer: GCF of Numerators as per given numbers 9178/321, 7308/699 is
GCF of Numerators i.e. for 9178,7308 is 2
LCM of denominators i.e. for 321,699 is 74793.
Thus, GCF of Fractions is 2/74793.Finally, GCF of Fractions for 9178/321, 7308/699 is 2/74793.