GCF of 2578/454, 9042/761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2578/454, 9042/761 i.e 2/345494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2578/454, 9042/761.
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 2578/454,9042/761?
Given fractions are 2578/454,9042/761
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 2578/454,9042/761, numerators are 2578,9042
Denominators are 454,761
The GCF of 2578,9042 is 2 .
LCM of 454,761 is 345494.
The greatest common factor of 2578/454,9042/761 = [GCF of 2578,9042]/[LCM of 454,761]= 2/345494
Therefore, the GCF of 2578/454,9042/761 is 2/345494.
To find the highest common factor of 2578,9042, we have to find the factors of both numbers and list the highest common factor.
The factors of 2578 are 1, 2, 1289, 2578
The factors of 9042 are 1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521, 9042
The HCF of 2578,9042 is 2.
Lets's calculate GCF of 2578,9042
| 2 | 2578, 9042 |
| 1289, 4521 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2578,9042 By Matching Biggest Common Factor Method
Now, list down the factors of 2578
:1,2,1289,2578
Now, list down the factors of 9042
:1,2,3,6,11,22,33,66,137,274,411,822,1507,3014,4521,9042
Greatest Common Factor
We found the factors 2578,9042 . The biggest common factor number is the GCF number.
So the greatest common factor 2578,9042 is 2.
Lets's calculate LCM of 454,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 345494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/345494
Therefore, the GCF of Fractions 2578/454,9042/761 is 2/345494
Least Common Multiple of 454,761 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 454,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,761) x common factors =1 x 1 = 1
LCM(454,761) = ( 454 × 761 ) / 1
LCM(454,761) = 345494 / 1
LCM(454,761) = 345494
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FAQs on GCF of Fractions of 2578/454, 9042/761
1. What is the HCF of 2578,9042?
The HCF of 2578,9042 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 2578/454, 9042/761?
Answer: GCF of Numerators as per given numbers 2578/454, 9042/761 is
GCF of Numerators i.e. for 2578,9042 is 2
LCM of denominators i.e. for 454,761 is 345494.
Thus, GCF of Fractions is 2/345494.Finally, GCF of Fractions for 2578/454, 9042/761 is 2/345494.