GCF of 2468/363, 5402/4846
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2468/363, 5402/4846 i.e 2/1759098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2468/363, 5402/4846.
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 2468/363,5402/4846?
Given fractions are 2468/363,5402/4846
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 2468/363,5402/4846, numerators are 2468,5402
Denominators are 363,4846
The GCF of 2468,5402 is 2 .
LCM of 363,4846 is 1759098.
The greatest common factor of 2468/363,5402/4846 = [GCF of 2468,5402]/[LCM of 363,4846]= 2/1759098
Therefore, the GCF of 2468/363,5402/4846 is 2/1759098.
To find the highest common factor of 2468,5402, we have to find the factors of both numbers and list the highest common factor.
The factors of 2468 are 1, 2, 4, 617, 1234, 2468
The factors of 5402 are 1, 2, 37, 73, 74, 146, 2701, 5402
The HCF of 2468,5402 is 2.
Lets's calculate GCF of 2468,5402
| 2 | 2468, 5402 |
| 1234, 2701 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2468,5402 By Matching Biggest Common Factor Method
Now, list down the factors of 2468
:1,2,4,617,1234,2468
Now, list down the factors of 5402
:1,2,37,73,74,146,2701,5402
Greatest Common Factor
We found the factors 2468,5402 . The biggest common factor number is the GCF number.
So the greatest common factor 2468,5402 is 2.
Lets's calculate LCM of 363,4846
Given numbers has no common factors except 1. So, there LCM is their product i.e 1759098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1759098
Therefore, the GCF of Fractions 2468/363,5402/4846 is 2/1759098
Least Common Multiple of 363,4846 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 363,4846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,4846) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,4846) x common factors =1 x 1 = 1
LCM(363,4846) = ( 363 × 4846 ) / 1
LCM(363,4846) = 1759098 / 1
LCM(363,4846) = 1759098
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FAQs on GCF of Fractions of 2468/363, 5402/4846
1. What is the HCF of 2468,5402?
The HCF of 2468,5402 is 2
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 2468/363, 5402/4846?
Answer: GCF of Numerators as per given numbers 2468/363, 5402/4846 is
GCF of Numerators i.e. for 2468,5402 is 2
LCM of denominators i.e. for 363,4846 is 1759098.
Thus, GCF of Fractions is 2/1759098.Finally, GCF of Fractions for 2468/363, 5402/4846 is 2/1759098.