GCF of 2029/646, 7378/1184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2029/646, 7378/1184 i.e 1/382432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2029/646, 7378/1184.
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 2029/646,7378/1184?
Given fractions are 2029/646,7378/1184
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 2029/646,7378/1184, numerators are 2029,7378
Denominators are 646,1184
The GCF of 2029,7378 is 1 .
LCM of 646,1184 is 382432.
The greatest common factor of 2029/646,7378/1184 = [GCF of 2029,7378]/[LCM of 646,1184]= 1/382432
Therefore, the GCF of 2029/646,7378/1184 is 1/382432.
To find the highest common factor of 2029,7378, we have to find the factors of both numbers and list the highest common factor.
The factors of 2029 are 1, 2029
The factors of 7378 are 1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378
The HCF of 2029,7378 is 1.
Lets's calculate GCF of 2029,7378
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2029,7378 By Matching Biggest Common Factor Method
Now, list down the factors of 2029
:1,2029
Now, list down the factors of 7378
:1,2,7,14,17,31,34,62,119,217,238,434,527,1054,3689,7378
Greatest Common Factor
We found the factors 2029,7378 . The biggest common factor number is the GCF number.
So the greatest common factor 2029,7378 is 1.
Lets's calculate LCM of 646,1184
| 2 | 646, 1184 |
| 323, 592 |
∴ So the LCM of the given numbers is 2 x 323 x 592 = 382432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/382432
Therefore, the GCF of Fractions 2029/646,7378/1184 is 1/382432
Least Common Multiple of 646,1184 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 646,1184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,1184) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,1184) x common factors =2 x 1 = 2
LCM(646,1184) = ( 646 × 1184 ) / 2
LCM(646,1184) = 764864 / 2
LCM(646,1184) = 382432
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FAQs on GCF of Fractions of 2029/646, 7378/1184
1. What is the HCF of 2029,7378?
The HCF of 2029,7378 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 2029/646, 7378/1184?
Answer: GCF of Numerators as per given numbers 2029/646, 7378/1184 is
GCF of Numerators i.e. for 2029,7378 is 1
LCM of denominators i.e. for 646,1184 is 382432.
Thus, GCF of Fractions is 1/382432.Finally, GCF of Fractions for 2029/646, 7378/1184 is 1/382432.