GCF of 7378/669, 4592/7259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7378/669, 4592/7259 i.e 14/4856271 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7378/669, 4592/7259.
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 7378/669,4592/7259?
Given fractions are 7378/669,4592/7259
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 7378/669,4592/7259, numerators are 7378,4592
Denominators are 669,7259
The GCF of 7378,4592 is 14 .
LCM of 669,7259 is 4856271.
The greatest common factor of 7378/669,4592/7259 = [GCF of 7378,4592]/[LCM of 669,7259]= 14/4856271
Therefore, the GCF of 7378/669,4592/7259 is 14/4856271.
To find the highest common factor of 7378,4592, we have to find the factors of both numbers and list the highest common factor.
The factors of 7378 are 1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378
The factors of 4592 are 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592
The HCF of 7378,4592 is 14.
Lets's calculate GCF of 7378,4592
| 2 | 7378, 4592 |
| 7 | 3689, 2296 |
| 527, 328 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 7378,4592 By Matching Biggest Common Factor Method
Now, list down the factors of 7378
:1,2,7,14,17,31,34,62,119,217,238,434,527,1054,3689,7378
Now, list down the factors of 4592
:1,2,4,7,8,14,16,28,41,56,82,112,164,287,328,574,656,1148,2296,4592
Greatest Common Factor
We found the factors 7378,4592 . The biggest common factor number is the GCF number.
So the greatest common factor 7378,4592 is 14.
Lets's calculate LCM of 669,7259
Given numbers has no common factors except 1. So, there LCM is their product i.e 4856271
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/4856271
Therefore, the GCF of Fractions 7378/669,4592/7259 is 14/4856271
Least Common Multiple of 669,7259 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 669,7259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,7259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,7259) x common factors =1 x 1 = 1
LCM(669,7259) = ( 669 × 7259 ) / 1
LCM(669,7259) = 4856271 / 1
LCM(669,7259) = 4856271
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FAQs on GCF of Fractions of 7378/669, 4592/7259
1. What is the HCF of 7378,4592?
The HCF of 7378,4592 is 14
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 7378/669, 4592/7259?
Answer: GCF of Numerators as per given numbers 7378/669, 4592/7259 is
GCF of Numerators i.e. for 7378,4592 is 14
LCM of denominators i.e. for 669,7259 is 4856271.
Thus, GCF of Fractions is 14/4856271.Finally, GCF of Fractions for 7378/669, 4592/7259 is 14/4856271.