GCF of 5522/320, 2700/5315
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5522/320, 2700/5315 i.e 2/340160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5522/320, 2700/5315.
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 5522/320,2700/5315?
Given fractions are 5522/320,2700/5315
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 5522/320,2700/5315, numerators are 5522,2700
Denominators are 320,5315
The GCF of 5522,2700 is 2 .
LCM of 320,5315 is 340160.
The greatest common factor of 5522/320,2700/5315 = [GCF of 5522,2700]/[LCM of 320,5315]= 2/340160
Therefore, the GCF of 5522/320,2700/5315 is 2/340160.
To find the highest common factor of 5522,2700, we have to find the factors of both numbers and list the highest common factor.
The factors of 5522 are 1, 2, 11, 22, 251, 502, 2761, 5522
The factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700
The HCF of 5522,2700 is 2.
Lets's calculate GCF of 5522,2700
| 2 | 5522, 2700 |
| 2761, 1350 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5522,2700 By Matching Biggest Common Factor Method
Now, list down the factors of 5522
:1,2,11,22,251,502,2761,5522
Now, list down the factors of 2700
:1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,90,100,108,135,150,180,225,270,300,450,540,675,900,1350,2700
Greatest Common Factor
We found the factors 5522,2700 . The biggest common factor number is the GCF number.
So the greatest common factor 5522,2700 is 2.
Lets's calculate LCM of 320,5315
| 5 | 320, 5315 |
| 64, 1063 |
∴ So the LCM of the given numbers is 5 x 64 x 1063 = 340160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/340160
Therefore, the GCF of Fractions 5522/320,2700/5315 is 2/340160
Least Common Multiple of 320,5315 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 320,5315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,5315) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(320,5315) x common factors =5 x 1 = 5
LCM(320,5315) = ( 320 × 5315 ) / 5
LCM(320,5315) = 1700800 / 5
LCM(320,5315) = 340160
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FAQs on GCF of Fractions of 5522/320, 2700/5315
1. What is the HCF of 5522,2700?
The HCF of 5522,2700 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 5522/320, 2700/5315?
Answer: GCF of Numerators as per given numbers 5522/320, 2700/5315 is
GCF of Numerators i.e. for 5522,2700 is 2
LCM of denominators i.e. for 320,5315 is 340160.
Thus, GCF of Fractions is 2/340160.Finally, GCF of Fractions for 5522/320, 2700/5315 is 2/340160.