Highest Common Factor of 555, 4181, 2453 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 555, 4181, 2453 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 555, 4181, 2453 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 555, 4181, 2453 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 555, 4181, 2453 is 1.
HCF(555, 4181, 2453) = 1
HCF of 555, 4181, 2453 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 555, 4181, 2453 is 1.
Highest Common Factor of 555,4181,2453 is 1
Step 1: Since 4181 > 555, we apply the division lemma to 4181 and 555, to get
4181 = 555 x 7 + 296
Step 2: Since the reminder 555 ≠ 0, we apply division lemma to 296 and 555, to get
555 = 296 x 1 + 259
Step 3: We consider the new divisor 296 and the new remainder 259, and apply the division lemma to get
296 = 259 x 1 + 37
We consider the new divisor 259 and the new remainder 37, and apply the division lemma to get
259 = 37 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 555 and 4181 is 37
Notice that 37 = HCF(259,37) = HCF(296,259) = HCF(555,296) = HCF(4181,555) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2453 > 37, we apply the division lemma to 2453 and 37, to get
2453 = 37 x 66 + 11
Step 2: Since the reminder 37 ≠ 0, we apply division lemma to 11 and 37, to get
37 = 11 x 3 + 4
Step 3: We consider the new divisor 11 and the new remainder 4, and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 37 and 2453 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(37,11) = HCF(2453,37) .
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Frequently Asked Questions on HCF of 555, 4181, 2453 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 555, 4181, 2453?
Answer: HCF of 555, 4181, 2453 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 555, 4181, 2453 using Euclid's Algorithm?
Answer: For arbitrary numbers 555, 4181, 2453 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.