GCF of 4542/378, 5282/9417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4542/378, 5282/9417 i.e 2/1186542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4542/378, 5282/9417.
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 4542/378,5282/9417?
Given fractions are 4542/378,5282/9417
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 4542/378,5282/9417, numerators are 4542,5282
Denominators are 378,9417
The GCF of 4542,5282 is 2 .
LCM of 378,9417 is 1186542.
The greatest common factor of 4542/378,5282/9417 = [GCF of 4542,5282]/[LCM of 378,9417]= 2/1186542
Therefore, the GCF of 4542/378,5282/9417 is 2/1186542.
To find the highest common factor of 4542,5282, we have to find the factors of both numbers and list the highest common factor.
The factors of 4542 are 1, 2, 3, 6, 757, 1514, 2271, 4542
The factors of 5282 are 1, 2, 19, 38, 139, 278, 2641, 5282
The HCF of 4542,5282 is 2.
Lets's calculate GCF of 4542,5282
| 2 | 4542, 5282 |
| 2271, 2641 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4542,5282 By Matching Biggest Common Factor Method
Now, list down the factors of 4542
:1,2,3,6,757,1514,2271,4542
Now, list down the factors of 5282
:1,2,19,38,139,278,2641,5282
Greatest Common Factor
We found the factors 4542,5282 . The biggest common factor number is the GCF number.
So the greatest common factor 4542,5282 is 2.
Lets's calculate LCM of 378,9417
| 3 | 378, 9417 |
| 126, 3139 |
∴ So the LCM of the given numbers is 3 x 126 x 3139 = 1186542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1186542
Therefore, the GCF of Fractions 4542/378,5282/9417 is 2/1186542
Least Common Multiple of 378,9417 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 378,9417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,9417) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(378,9417) x common factors =3 x 1 = 3
LCM(378,9417) = ( 378 × 9417 ) / 3
LCM(378,9417) = 3559626 / 3
LCM(378,9417) = 1186542
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FAQs on GCF of Fractions of 4542/378, 5282/9417
1. What is the HCF of 4542,5282?
The HCF of 4542,5282 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 4542/378, 5282/9417?
Answer: GCF of Numerators as per given numbers 4542/378, 5282/9417 is
GCF of Numerators i.e. for 4542,5282 is 2
LCM of denominators i.e. for 378,9417 is 1186542.
Thus, GCF of Fractions is 2/1186542.Finally, GCF of Fractions for 4542/378, 5282/9417 is 2/1186542.