GCF of 9402/337, 5780/8548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9402/337, 5780/8548 i.e 2/2880676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9402/337, 5780/8548.
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 9402/337,5780/8548?
Given fractions are 9402/337,5780/8548
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 9402/337,5780/8548, numerators are 9402,5780
Denominators are 337,8548
The GCF of 9402,5780 is 2 .
LCM of 337,8548 is 2880676.
The greatest common factor of 9402/337,5780/8548 = [GCF of 9402,5780]/[LCM of 337,8548]= 2/2880676
Therefore, the GCF of 9402/337,5780/8548 is 2/2880676.
To find the highest common factor of 9402,5780, we have to find the factors of both numbers and list the highest common factor.
The factors of 9402 are 1, 2, 3, 6, 1567, 3134, 4701, 9402
The factors of 5780 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780
The HCF of 9402,5780 is 2.
Lets's calculate GCF of 9402,5780
| 2 | 9402, 5780 |
| 4701, 2890 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9402,5780 By Matching Biggest Common Factor Method
Now, list down the factors of 9402
:1,2,3,6,1567,3134,4701,9402
Now, list down the factors of 5780
:1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780
Greatest Common Factor
We found the factors 9402,5780 . The biggest common factor number is the GCF number.
So the greatest common factor 9402,5780 is 2.
Lets's calculate LCM of 337,8548
Given numbers has no common factors except 1. So, there LCM is their product i.e 2880676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2880676
Therefore, the GCF of Fractions 9402/337,5780/8548 is 2/2880676
Least Common Multiple of 337,8548 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 337,8548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,8548) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,8548) x common factors =1 x 1 = 1
LCM(337,8548) = ( 337 × 8548 ) / 1
LCM(337,8548) = 2880676 / 1
LCM(337,8548) = 2880676
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FAQs on GCF of Fractions of 9402/337, 5780/8548
1. What is the HCF of 9402,5780?
The HCF of 9402,5780 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 9402/337, 5780/8548?
Answer: GCF of Numerators as per given numbers 9402/337, 5780/8548 is
GCF of Numerators i.e. for 9402,5780 is 2
LCM of denominators i.e. for 337,8548 is 2880676.
Thus, GCF of Fractions is 2/2880676.Finally, GCF of Fractions for 9402/337, 5780/8548 is 2/2880676.