GCF of 7408/467, 5742/378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7408/467, 5742/378 i.e 2/176526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7408/467, 5742/378.
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 7408/467,5742/378?
Given fractions are 7408/467,5742/378
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 7408/467,5742/378, numerators are 7408,5742
Denominators are 467,378
The GCF of 7408,5742 is 2 .
LCM of 467,378 is 176526.
The greatest common factor of 7408/467,5742/378 = [GCF of 7408,5742]/[LCM of 467,378]= 2/176526
Therefore, the GCF of 7408/467,5742/378 is 2/176526.
To find the highest common factor of 7408,5742, we have to find the factors of both numbers and list the highest common factor.
The factors of 7408 are 1, 2, 4, 8, 16, 463, 926, 1852, 3704, 7408
The factors of 5742 are 1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 174, 198, 261, 319, 522, 638, 957, 1914, 2871, 5742
The HCF of 7408,5742 is 2.
Lets's calculate GCF of 7408,5742
| 2 | 7408, 5742 |
| 3704, 2871 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7408,5742 By Matching Biggest Common Factor Method
Now, list down the factors of 7408
:1,2,4,8,16,463,926,1852,3704,7408
Now, list down the factors of 5742
:1,2,3,6,9,11,18,22,29,33,58,66,87,99,174,198,261,319,522,638,957,1914,2871,5742
Greatest Common Factor
We found the factors 7408,5742 . The biggest common factor number is the GCF number.
So the greatest common factor 7408,5742 is 2.
Lets's calculate LCM of 467,378
Given numbers has no common factors except 1. So, there LCM is their product i.e 176526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/176526
Therefore, the GCF of Fractions 7408/467,5742/378 is 2/176526
Least Common Multiple of 467,378 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 467,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,378) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,378) x common factors =1 x 1 = 1
LCM(467,378) = ( 467 × 378 ) / 1
LCM(467,378) = 176526 / 1
LCM(467,378) = 176526
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FAQs on GCF of Fractions of 7408/467, 5742/378
1. What is the HCF of 7408,5742?
The HCF of 7408,5742 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 7408/467, 5742/378?
Answer: GCF of Numerators as per given numbers 7408/467, 5742/378 is
GCF of Numerators i.e. for 7408,5742 is 2
LCM of denominators i.e. for 467,378 is 176526.
Thus, GCF of Fractions is 2/176526.Finally, GCF of Fractions for 7408/467, 5742/378 is 2/176526.