GCF of 2140/559, 4208/4432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2140/559, 4208/4432 i.e 4/2477488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2140/559, 4208/4432.
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 2140/559,4208/4432?
Given fractions are 2140/559,4208/4432
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 2140/559,4208/4432, numerators are 2140,4208
Denominators are 559,4432
The GCF of 2140,4208 is 4 .
LCM of 559,4432 is 2477488.
The greatest common factor of 2140/559,4208/4432 = [GCF of 2140,4208]/[LCM of 559,4432]= 4/2477488
Therefore, the GCF of 2140/559,4208/4432 is 4/2477488.
To find the highest common factor of 2140,4208, we have to find the factors of both numbers and list the highest common factor.
The factors of 2140 are 1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140
The factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208
The HCF of 2140,4208 is 4.
Lets's calculate GCF of 2140,4208
| 2 | 2140, 4208 |
| 2 | 1070, 2104 |
| 535, 1052 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2140,4208 By Matching Biggest Common Factor Method
Now, list down the factors of 2140
:1,2,4,5,10,20,107,214,428,535,1070,2140
Now, list down the factors of 4208
:1,2,4,8,16,263,526,1052,2104,4208
Greatest Common Factor
We found the factors 2140,4208 . The biggest common factor number is the GCF number.
So the greatest common factor 2140,4208 is 4.
Lets's calculate LCM of 559,4432
Given numbers has no common factors except 1. So, there LCM is their product i.e 2477488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2477488
Therefore, the GCF of Fractions 2140/559,4208/4432 is 4/2477488
Least Common Multiple of 559,4432 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 559,4432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,4432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,4432) x common factors =1 x 1 = 1
LCM(559,4432) = ( 559 × 4432 ) / 1
LCM(559,4432) = 2477488 / 1
LCM(559,4432) = 2477488
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FAQs on GCF of Fractions of 2140/559, 4208/4432
1. What is the HCF of 2140,4208?
The HCF of 2140,4208 is 4
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 2140/559, 4208/4432?
Answer: GCF of Numerators as per given numbers 2140/559, 4208/4432 is
GCF of Numerators i.e. for 2140,4208 is 4
LCM of denominators i.e. for 559,4432 is 2477488.
Thus, GCF of Fractions is 4/2477488.Finally, GCF of Fractions for 2140/559, 4208/4432 is 4/2477488.