GCF of 2148/604, 8619/7438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2148/604, 8619/7438 i.e 3/2246276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2148/604, 8619/7438.
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 2148/604,8619/7438?
Given fractions are 2148/604,8619/7438
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 2148/604,8619/7438, numerators are 2148,8619
Denominators are 604,7438
The GCF of 2148,8619 is 3 .
LCM of 604,7438 is 2246276.
The greatest common factor of 2148/604,8619/7438 = [GCF of 2148,8619]/[LCM of 604,7438]= 3/2246276
Therefore, the GCF of 2148/604,8619/7438 is 3/2246276.
To find the highest common factor of 2148,8619, we have to find the factors of both numbers and list the highest common factor.
The factors of 2148 are 1, 2, 3, 4, 6, 12, 179, 358, 537, 716, 1074, 2148
The factors of 8619 are 1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873, 8619
The HCF of 2148,8619 is 3.
Lets's calculate GCF of 2148,8619
| 3 | 2148, 8619 |
| 716, 2873 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2148,8619 By Matching Biggest Common Factor Method
Now, list down the factors of 2148
:1,2,3,4,6,12,179,358,537,716,1074,2148
Now, list down the factors of 8619
:1,3,13,17,39,51,169,221,507,663,2873,8619
Greatest Common Factor
We found the factors 2148,8619 . The biggest common factor number is the GCF number.
So the greatest common factor 2148,8619 is 3.
Lets's calculate LCM of 604,7438
| 2 | 604, 7438 |
| 302, 3719 |
∴ So the LCM of the given numbers is 2 x 302 x 3719 = 2246276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2246276
Therefore, the GCF of Fractions 2148/604,8619/7438 is 3/2246276
Least Common Multiple of 604,7438 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 604,7438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,7438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(604,7438) x common factors =2 x 1 = 2
LCM(604,7438) = ( 604 × 7438 ) / 2
LCM(604,7438) = 4492552 / 2
LCM(604,7438) = 2246276
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FAQs on GCF of Fractions of 2148/604, 8619/7438
1. What is the HCF of 2148,8619?
The HCF of 2148,8619 is 3
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 2148/604, 8619/7438?
Answer: GCF of Numerators as per given numbers 2148/604, 8619/7438 is
GCF of Numerators i.e. for 2148,8619 is 3
LCM of denominators i.e. for 604,7438 is 2246276.
Thus, GCF of Fractions is 3/2246276.Finally, GCF of Fractions for 2148/604, 8619/7438 is 3/2246276.