GCF of 4647/768, 1378/2458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4647/768, 1378/2458 i.e 1/943872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4647/768, 1378/2458.
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 4647/768,1378/2458?
Given fractions are 4647/768,1378/2458
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 4647/768,1378/2458, numerators are 4647,1378
Denominators are 768,2458
The GCF of 4647,1378 is 1 .
LCM of 768,2458 is 943872.
The greatest common factor of 4647/768,1378/2458 = [GCF of 4647,1378]/[LCM of 768,2458]= 1/943872
Therefore, the GCF of 4647/768,1378/2458 is 1/943872.
To find the highest common factor of 4647,1378, we have to find the factors of both numbers and list the highest common factor.
The factors of 4647 are 1, 3, 1549, 4647
The factors of 1378 are 1, 2, 13, 26, 53, 106, 689, 1378
The HCF of 4647,1378 is 1.
Lets's calculate GCF of 4647,1378
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4647,1378 By Matching Biggest Common Factor Method
Now, list down the factors of 4647
:1,3,1549,4647
Now, list down the factors of 1378
:1,2,13,26,53,106,689,1378
Greatest Common Factor
We found the factors 4647,1378 . The biggest common factor number is the GCF number.
So the greatest common factor 4647,1378 is 1.
Lets's calculate LCM of 768,2458
| 2 | 768, 2458 |
| 384, 1229 |
∴ So the LCM of the given numbers is 2 x 384 x 1229 = 943872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/943872
Therefore, the GCF of Fractions 4647/768,1378/2458 is 1/943872
Least Common Multiple of 768,2458 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 768,2458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,2458) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(768,2458) x common factors =2 x 1 = 2
LCM(768,2458) = ( 768 × 2458 ) / 2
LCM(768,2458) = 1887744 / 2
LCM(768,2458) = 943872
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FAQs on GCF of Fractions of 4647/768, 1378/2458
1. What is the HCF of 4647,1378?
The HCF of 4647,1378 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 4647/768, 1378/2458?
Answer: GCF of Numerators as per given numbers 4647/768, 1378/2458 is
GCF of Numerators i.e. for 4647,1378 is 1
LCM of denominators i.e. for 768,2458 is 943872.
Thus, GCF of Fractions is 1/943872.Finally, GCF of Fractions for 4647/768, 1378/2458 is 1/943872.