GCF of 7388/185, 8556/7314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7388/185, 8556/7314 i.e 4/1353090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7388/185, 8556/7314.
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 7388/185,8556/7314?
Given fractions are 7388/185,8556/7314
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 7388/185,8556/7314, numerators are 7388,8556
Denominators are 185,7314
The GCF of 7388,8556 is 4 .
LCM of 185,7314 is 1353090.
The greatest common factor of 7388/185,8556/7314 = [GCF of 7388,8556]/[LCM of 185,7314]= 4/1353090
Therefore, the GCF of 7388/185,8556/7314 is 4/1353090.
To find the highest common factor of 7388,8556, we have to find the factors of both numbers and list the highest common factor.
The factors of 7388 are 1, 2, 4, 1847, 3694, 7388
The factors of 8556 are 1, 2, 3, 4, 6, 12, 23, 31, 46, 62, 69, 92, 93, 124, 138, 186, 276, 372, 713, 1426, 2139, 2852, 4278, 8556
The HCF of 7388,8556 is 4.
Lets's calculate GCF of 7388,8556
| 2 | 7388, 8556 |
| 2 | 3694, 4278 |
| 1847, 2139 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7388,8556 By Matching Biggest Common Factor Method
Now, list down the factors of 7388
:1,2,4,1847,3694,7388
Now, list down the factors of 8556
:1,2,3,4,6,12,23,31,46,62,69,92,93,124,138,186,276,372,713,1426,2139,2852,4278,8556
Greatest Common Factor
We found the factors 7388,8556 . The biggest common factor number is the GCF number.
So the greatest common factor 7388,8556 is 4.
Lets's calculate LCM of 185,7314
Given numbers has no common factors except 1. So, there LCM is their product i.e 1353090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1353090
Therefore, the GCF of Fractions 7388/185,8556/7314 is 4/1353090
Least Common Multiple of 185,7314 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 185,7314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,7314) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,7314) x common factors =1 x 1 = 1
LCM(185,7314) = ( 185 × 7314 ) / 1
LCM(185,7314) = 1353090 / 1
LCM(185,7314) = 1353090
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FAQs on GCF of Fractions of 7388/185, 8556/7314
1. What is the HCF of 7388,8556?
The HCF of 7388,8556 is 4
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 7388/185, 8556/7314?
Answer: GCF of Numerators as per given numbers 7388/185, 8556/7314 is
GCF of Numerators i.e. for 7388,8556 is 4
LCM of denominators i.e. for 185,7314 is 1353090.
Thus, GCF of Fractions is 4/1353090.Finally, GCF of Fractions for 7388/185, 8556/7314 is 4/1353090.