GCF of 2835/354, 2140/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2835/354, 2140/241 i.e 5/85314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2835/354, 2140/241.
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 2835/354,2140/241?
Given fractions are 2835/354,2140/241
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 2835/354,2140/241, numerators are 2835,2140
Denominators are 354,241
The GCF of 2835,2140 is 5 .
LCM of 354,241 is 85314.
The greatest common factor of 2835/354,2140/241 = [GCF of 2835,2140]/[LCM of 354,241]= 5/85314
Therefore, the GCF of 2835/354,2140/241 is 5/85314.
To find the highest common factor of 2835,2140, we have to find the factors of both numbers and list the highest common factor.
The factors of 2835 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945, 2835
The factors of 2140 are 1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140
The HCF of 2835,2140 is 5.
Lets's calculate GCF of 2835,2140
| 5 | 2835, 2140 |
| 567, 428 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2835,2140 By Matching Biggest Common Factor Method
Now, list down the factors of 2835
:1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,315,405,567,945,2835
Now, list down the factors of 2140
:1,2,4,5,10,20,107,214,428,535,1070,2140
Greatest Common Factor
We found the factors 2835,2140 . The biggest common factor number is the GCF number.
So the greatest common factor 2835,2140 is 5.
Lets's calculate LCM of 354,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 85314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/85314
Therefore, the GCF of Fractions 2835/354,2140/241 is 5/85314
Least Common Multiple of 354,241 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 354,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(354,241) x common factors =1 x 1 = 1
LCM(354,241) = ( 354 × 241 ) / 1
LCM(354,241) = 85314 / 1
LCM(354,241) = 85314
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FAQs on GCF of Fractions of 2835/354, 2140/241
1. What is the HCF of 2835,2140?
The HCF of 2835,2140 is 5
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 2835/354, 2140/241?
Answer: GCF of Numerators as per given numbers 2835/354, 2140/241 is
GCF of Numerators i.e. for 2835,2140 is 5
LCM of denominators i.e. for 354,241 is 85314.
Thus, GCF of Fractions is 5/85314.Finally, GCF of Fractions for 2835/354, 2140/241 is 5/85314.