GCF of 4185/370, 5211/2793
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4185/370, 5211/2793 i.e 27/1033410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4185/370, 5211/2793.
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 4185/370,5211/2793?
Given fractions are 4185/370,5211/2793
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 4185/370,5211/2793, numerators are 4185,5211
Denominators are 370,2793
The GCF of 4185,5211 is 27 .
LCM of 370,2793 is 1033410.
The greatest common factor of 4185/370,5211/2793 = [GCF of 4185,5211]/[LCM of 370,2793]= 27/1033410
Therefore, the GCF of 4185/370,5211/2793 is 27/1033410.
To find the highest common factor of 4185,5211, we have to find the factors of both numbers and list the highest common factor.
The factors of 4185 are 1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395, 4185
The factors of 5211 are 1, 3, 9, 27, 193, 579, 1737, 5211
The HCF of 4185,5211 is 27.
Lets's calculate GCF of 4185,5211
| 3 | 4185, 5211 |
| 3 | 1395, 1737 |
| 3 | 465, 579 |
| 155, 193 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 4185,5211 By Matching Biggest Common Factor Method
Now, list down the factors of 4185
:1,3,5,9,15,27,31,45,93,135,155,279,465,837,1395,4185
Now, list down the factors of 5211
:1,3,9,27,193,579,1737,5211
Greatest Common Factor
We found the factors 4185,5211 . The biggest common factor number is the GCF number.
So the greatest common factor 4185,5211 is 27.
Lets's calculate LCM of 370,2793
Given numbers has no common factors except 1. So, there LCM is their product i.e 1033410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/1033410
Therefore, the GCF of Fractions 4185/370,5211/2793 is 27/1033410
Least Common Multiple of 370,2793 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 370,2793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,2793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(370,2793) x common factors =1 x 1 = 1
LCM(370,2793) = ( 370 × 2793 ) / 1
LCM(370,2793) = 1033410 / 1
LCM(370,2793) = 1033410
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FAQs on GCF of Fractions of 4185/370, 5211/2793
1. What is the HCF of 4185,5211?
The HCF of 4185,5211 is 27
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 4185/370, 5211/2793?
Answer: GCF of Numerators as per given numbers 4185/370, 5211/2793 is
GCF of Numerators i.e. for 4185,5211 is 27
LCM of denominators i.e. for 370,2793 is 1033410.
Thus, GCF of Fractions is 27/1033410.Finally, GCF of Fractions for 4185/370, 5211/2793 is 27/1033410.