GCF of 9220/937, 7040/575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9220/937, 7040/575 i.e 20/538775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9220/937, 7040/575.
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 9220/937,7040/575?
Given fractions are 9220/937,7040/575
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 9220/937,7040/575, numerators are 9220,7040
Denominators are 937,575
The GCF of 9220,7040 is 20 .
LCM of 937,575 is 538775.
The greatest common factor of 9220/937,7040/575 = [GCF of 9220,7040]/[LCM of 937,575]= 20/538775
Therefore, the GCF of 9220/937,7040/575 is 20/538775.
To find the highest common factor of 9220,7040, 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 7040 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040
The HCF of 9220,7040 is 20.
Lets's calculate GCF of 9220,7040
| 2 | 9220, 7040 |
| 2 | 4610, 3520 |
| 5 | 2305, 1760 |
| 461, 352 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 9220,7040 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 7040
:1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,128,160,176,220,320,352,440,640,704,880,1408,1760,3520,7040
Greatest Common Factor
We found the factors 9220,7040 . The biggest common factor number is the GCF number.
So the greatest common factor 9220,7040 is 20.
Lets's calculate LCM of 937,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 538775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/538775
Therefore, the GCF of Fractions 9220/937,7040/575 is 20/538775
Least Common Multiple of 937,575 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 937,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,575) x common factors =1 x 1 = 1
LCM(937,575) = ( 937 × 575 ) / 1
LCM(937,575) = 538775 / 1
LCM(937,575) = 538775
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9220/937, 7040/575
1. What is the HCF of 9220,7040?
The HCF of 9220,7040 is 20
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 9220/937, 7040/575?
Answer: GCF of Numerators as per given numbers 9220/937, 7040/575 is
GCF of Numerators i.e. for 9220,7040 is 20
LCM of denominators i.e. for 937,575 is 538775.
Thus, GCF of Fractions is 20/538775.Finally, GCF of Fractions for 9220/937, 7040/575 is 20/538775.