GCF of 7367/328, 9142/998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7367/328, 9142/998 i.e 1/163672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7367/328, 9142/998.
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 7367/328,9142/998?
Given fractions are 7367/328,9142/998
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 7367/328,9142/998, numerators are 7367,9142
Denominators are 328,998
The GCF of 7367,9142 is 1 .
LCM of 328,998 is 163672.
The greatest common factor of 7367/328,9142/998 = [GCF of 7367,9142]/[LCM of 328,998]= 1/163672
Therefore, the GCF of 7367/328,9142/998 is 1/163672.
To find the highest common factor of 7367,9142, we have to find the factors of both numbers and list the highest common factor.
The factors of 7367 are 1, 53, 139, 7367
The factors of 9142 are 1, 2, 7, 14, 653, 1306, 4571, 9142
The HCF of 7367,9142 is 1.
Lets's calculate GCF of 7367,9142
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7367,9142 By Matching Biggest Common Factor Method
Now, list down the factors of 7367
:1,53,139,7367
Now, list down the factors of 9142
:1,2,7,14,653,1306,4571,9142
Greatest Common Factor
We found the factors 7367,9142 . The biggest common factor number is the GCF number.
So the greatest common factor 7367,9142 is 1.
Lets's calculate LCM of 328,998
| 2 | 328, 998 |
| 164, 499 |
∴ So the LCM of the given numbers is 2 x 164 x 499 = 163672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163672
Therefore, the GCF of Fractions 7367/328,9142/998 is 1/163672
Least Common Multiple of 328,998 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 328,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,998) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(328,998) x common factors =2 x 1 = 2
LCM(328,998) = ( 328 × 998 ) / 2
LCM(328,998) = 327344 / 2
LCM(328,998) = 163672
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FAQs on GCF of Fractions of 7367/328, 9142/998
1. What is the HCF of 7367,9142?
The HCF of 7367,9142 is 1
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 7367/328, 9142/998?
Answer: GCF of Numerators as per given numbers 7367/328, 9142/998 is
GCF of Numerators i.e. for 7367,9142 is 1
LCM of denominators i.e. for 328,998 is 163672.
Thus, GCF of Fractions is 1/163672.Finally, GCF of Fractions for 7367/328, 9142/998 is 1/163672.