GCF of 9123/370, 4438/6934
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9123/370, 4438/6934 i.e 1/1282790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9123/370, 4438/6934.
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 9123/370,4438/6934?
Given fractions are 9123/370,4438/6934
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 9123/370,4438/6934, numerators are 9123,4438
Denominators are 370,6934
The GCF of 9123,4438 is 1 .
LCM of 370,6934 is 1282790.
The greatest common factor of 9123/370,4438/6934 = [GCF of 9123,4438]/[LCM of 370,6934]= 1/1282790
Therefore, the GCF of 9123/370,4438/6934 is 1/1282790.
To find the highest common factor of 9123,4438, we have to find the factors of both numbers and list the highest common factor.
The factors of 9123 are 1, 3, 3041, 9123
The factors of 4438 are 1, 2, 7, 14, 317, 634, 2219, 4438
The HCF of 9123,4438 is 1.
Lets's calculate GCF of 9123,4438
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9123,4438 By Matching Biggest Common Factor Method
Now, list down the factors of 9123
:1,3,3041,9123
Now, list down the factors of 4438
:1,2,7,14,317,634,2219,4438
Greatest Common Factor
We found the factors 9123,4438 . The biggest common factor number is the GCF number.
So the greatest common factor 9123,4438 is 1.
Lets's calculate LCM of 370,6934
| 2 | 370, 6934 |
| 185, 3467 |
∴ So the LCM of the given numbers is 2 x 185 x 3467 = 1282790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1282790
Therefore, the GCF of Fractions 9123/370,4438/6934 is 1/1282790
Least Common Multiple of 370,6934 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 370,6934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,6934) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,6934) x common factors =2 x 1 = 2
LCM(370,6934) = ( 370 × 6934 ) / 2
LCM(370,6934) = 2565580 / 2
LCM(370,6934) = 1282790
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FAQs on GCF of Fractions of 9123/370, 4438/6934
1. What is the HCF of 9123,4438?
The HCF of 9123,4438 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 9123/370, 4438/6934?
Answer: GCF of Numerators as per given numbers 9123/370, 4438/6934 is
GCF of Numerators i.e. for 9123,4438 is 1
LCM of denominators i.e. for 370,6934 is 1282790.
Thus, GCF of Fractions is 1/1282790.Finally, GCF of Fractions for 9123/370, 4438/6934 is 1/1282790.