GCF of 6223/360, 3199/2820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6223/360, 3199/2820 i.e 7/16920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6223/360, 3199/2820.
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 6223/360,3199/2820?
Given fractions are 6223/360,3199/2820
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 6223/360,3199/2820, numerators are 6223,3199
Denominators are 360,2820
The GCF of 6223,3199 is 7 .
LCM of 360,2820 is 16920.
The greatest common factor of 6223/360,3199/2820 = [GCF of 6223,3199]/[LCM of 360,2820]= 7/16920
Therefore, the GCF of 6223/360,3199/2820 is 7/16920.
To find the highest common factor of 6223,3199, we have to find the factors of both numbers and list the highest common factor.
The factors of 6223 are 1, 7, 49, 127, 889, 6223
The factors of 3199 are 1, 7, 457, 3199
The HCF of 6223,3199 is 7.
Lets's calculate GCF of 6223,3199
| 7 | 6223, 3199 |
| 889, 457 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6223,3199 By Matching Biggest Common Factor Method
Now, list down the factors of 6223
:1,7,49,127,889,6223
Now, list down the factors of 3199
:1,7,457,3199
Greatest Common Factor
We found the factors 6223,3199 . The biggest common factor number is the GCF number.
So the greatest common factor 6223,3199 is 7.
Lets's calculate LCM of 360,2820
| 2 | 360, 2820 |
| 2 | 180, 1410 |
| 3 | 90, 705 |
| 5 | 30, 235 |
| 6, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 6 x 47 = 16920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/16920
Therefore, the GCF of Fractions 6223/360,3199/2820 is 7/16920
Least Common Multiple of 360,2820 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 360,2820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,2820) = 60
common factors(in case of two or more numbers have common factors) = 1
GCF(360,2820) x common factors =60 x 1 = 60
LCM(360,2820) = ( 360 × 2820 ) / 60
LCM(360,2820) = 1015200 / 60
LCM(360,2820) = 16920
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FAQs on GCF of Fractions of 6223/360, 3199/2820
1. What is the HCF of 6223,3199?
The HCF of 6223,3199 is 7
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 6223/360, 3199/2820?
Answer: GCF of Numerators as per given numbers 6223/360, 3199/2820 is
GCF of Numerators i.e. for 6223,3199 is 7
LCM of denominators i.e. for 360,2820 is 16920.
Thus, GCF of Fractions is 7/16920.Finally, GCF of Fractions for 6223/360, 3199/2820 is 7/16920.