GCF of 9220/978, 5477/3951
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9220/978, 5477/3951 i.e 1/1288026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9220/978, 5477/3951.
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 9220/978,5477/3951?
Given fractions are 9220/978,5477/3951
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 9220/978,5477/3951, numerators are 9220,5477
Denominators are 978,3951
The GCF of 9220,5477 is 1 .
LCM of 978,3951 is 1288026.
The greatest common factor of 9220/978,5477/3951 = [GCF of 9220,5477]/[LCM of 978,3951]= 1/1288026
Therefore, the GCF of 9220/978,5477/3951 is 1/1288026.
To find the highest common factor of 9220,5477, we have to find the factors of both numbers and list the highest common factor.
The factors of 9220 are 1, 2, 4, 5, 10, 20, 461, 922, 1844, 2305, 4610, 9220
The factors of 5477 are 1, 5477
The HCF of 9220,5477 is 1.
Lets's calculate GCF of 9220,5477
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9220,5477 By Matching Biggest Common Factor Method
Now, list down the factors of 9220
:1,2,4,5,10,20,461,922,1844,2305,4610,9220
Now, list down the factors of 5477
:1,5477
Greatest Common Factor
We found the factors 9220,5477 . The biggest common factor number is the GCF number.
So the greatest common factor 9220,5477 is 1.
Lets's calculate LCM of 978,3951
| 3 | 978, 3951 |
| 326, 1317 |
∴ So the LCM of the given numbers is 3 x 326 x 1317 = 1288026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1288026
Therefore, the GCF of Fractions 9220/978,5477/3951 is 1/1288026
Least Common Multiple of 978,3951 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 978,3951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,3951) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(978,3951) x common factors =3 x 1 = 3
LCM(978,3951) = ( 978 × 3951 ) / 3
LCM(978,3951) = 3864078 / 3
LCM(978,3951) = 1288026
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FAQs on GCF of Fractions of 9220/978, 5477/3951
1. What is the HCF of 9220,5477?
The HCF of 9220,5477 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 9220/978, 5477/3951?
Answer: GCF of Numerators as per given numbers 9220/978, 5477/3951 is
GCF of Numerators i.e. for 9220,5477 is 1
LCM of denominators i.e. for 978,3951 is 1288026.
Thus, GCF of Fractions is 1/1288026.Finally, GCF of Fractions for 9220/978, 5477/3951 is 1/1288026.