GCF of 3685/528, 2200/368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3685/528, 2200/368 i.e 55/12144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3685/528, 2200/368.
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 3685/528,2200/368?
Given fractions are 3685/528,2200/368
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 3685/528,2200/368, numerators are 3685,2200
Denominators are 528,368
The GCF of 3685,2200 is 55 .
LCM of 528,368 is 12144.
The greatest common factor of 3685/528,2200/368 = [GCF of 3685,2200]/[LCM of 528,368]= 55/12144
Therefore, the GCF of 3685/528,2200/368 is 55/12144.
To find the highest common factor of 3685,2200, we have to find the factors of both numbers and list the highest common factor.
The factors of 3685 are 1, 5, 11, 55, 67, 335, 737, 3685
The factors of 2200 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 2200
The HCF of 3685,2200 is 55.
Lets's calculate GCF of 3685,2200
| 5 | 3685, 2200 |
| 11 | 737, 440 |
| 67, 40 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 3685,2200 By Matching Biggest Common Factor Method
Now, list down the factors of 3685
:1,5,11,55,67,335,737,3685
Now, list down the factors of 2200
:1,2,4,5,8,10,11,20,22,25,40,44,50,55,88,100,110,200,220,275,440,550,1100,2200
Greatest Common Factor
We found the factors 3685,2200 . The biggest common factor number is the GCF number.
So the greatest common factor 3685,2200 is 55.
Lets's calculate LCM of 528,368
| 2 | 528, 368 |
| 2 | 264, 184 |
| 2 | 132, 92 |
| 2 | 66, 46 |
| 33, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 33 x 23 = 12144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/12144
Therefore, the GCF of Fractions 3685/528,2200/368 is 55/12144
Least Common Multiple of 528,368 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 528,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,368) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(528,368) x common factors =16 x 1 = 16
LCM(528,368) = ( 528 × 368 ) / 16
LCM(528,368) = 194304 / 16
LCM(528,368) = 12144
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FAQs on GCF of Fractions of 3685/528, 2200/368
1. What is the HCF of 3685,2200?
The HCF of 3685,2200 is 55
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 3685/528, 2200/368?
Answer: GCF of Numerators as per given numbers 3685/528, 2200/368 is
GCF of Numerators i.e. for 3685,2200 is 55
LCM of denominators i.e. for 528,368 is 12144.
Thus, GCF of Fractions is 55/12144.Finally, GCF of Fractions for 3685/528, 2200/368 is 55/12144.