GCF of 457/242, 2478/5974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 457/242, 2478/5974 i.e 1/722854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 457/242, 2478/5974.
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 457/242,2478/5974?
Given fractions are 457/242,2478/5974
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 457/242,2478/5974, numerators are 457,2478
Denominators are 242,5974
The GCF of 457,2478 is 1 .
LCM of 242,5974 is 722854.
The greatest common factor of 457/242,2478/5974 = [GCF of 457,2478]/[LCM of 242,5974]= 1/722854
Therefore, the GCF of 457/242,2478/5974 is 1/722854.
To find the highest common factor of 457,2478, we have to find the factors of both numbers and list the highest common factor.
The factors of 457 are 1, 457
The factors of 2478 are 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239, 2478
The HCF of 457,2478 is 1.
Lets's calculate GCF of 457,2478
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 457,2478 By Matching Biggest Common Factor Method
Now, list down the factors of 457
:1,457
Now, list down the factors of 2478
:1,2,3,6,7,14,21,42,59,118,177,354,413,826,1239,2478
Greatest Common Factor
We found the factors 457,2478 . The biggest common factor number is the GCF number.
So the greatest common factor 457,2478 is 1.
Lets's calculate LCM of 242,5974
| 2 | 242, 5974 |
| 121, 2987 |
∴ So the LCM of the given numbers is 2 x 121 x 2987 = 722854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/722854
Therefore, the GCF of Fractions 457/242,2478/5974 is 1/722854
Least Common Multiple of 242,5974 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 242,5974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,5974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,5974) x common factors =2 x 1 = 2
LCM(242,5974) = ( 242 × 5974 ) / 2
LCM(242,5974) = 1445708 / 2
LCM(242,5974) = 722854
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FAQs on GCF of Fractions of 457/242, 2478/5974
1. What is the HCF of 457,2478?
The HCF of 457,2478 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 457/242, 2478/5974?
Answer: GCF of Numerators as per given numbers 457/242, 2478/5974 is
GCF of Numerators i.e. for 457,2478 is 1
LCM of denominators i.e. for 242,5974 is 722854.
Thus, GCF of Fractions is 1/722854.Finally, GCF of Fractions for 457/242, 2478/5974 is 1/722854.