Highest Common Factor of 359, 2421, 4003 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 359, 2421, 4003 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 359, 2421, 4003 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 359, 2421, 4003 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 359, 2421, 4003 is 1.
HCF(359, 2421, 4003) = 1
HCF of 359, 2421, 4003 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 359, 2421, 4003 is 1.
Highest Common Factor of 359,2421,4003 is 1
Step 1: Since 2421 > 359, we apply the division lemma to 2421 and 359, to get
2421 = 359 x 6 + 267
Step 2: Since the reminder 359 ≠ 0, we apply division lemma to 267 and 359, to get
359 = 267 x 1 + 92
Step 3: We consider the new divisor 267 and the new remainder 92, and apply the division lemma to get
267 = 92 x 2 + 83
We consider the new divisor 92 and the new remainder 83,and apply the division lemma to get
92 = 83 x 1 + 9
We consider the new divisor 83 and the new remainder 9,and apply the division lemma to get
83 = 9 x 9 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 359 and 2421 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(83,9) = HCF(92,83) = HCF(267,92) = HCF(359,267) = HCF(2421,359) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4003 > 1, we apply the division lemma to 4003 and 1, to get
4003 = 1 x 4003 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4003 is 1
Notice that 1 = HCF(4003,1) .
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Frequently Asked Questions on HCF of 359, 2421, 4003 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 359, 2421, 4003?
Answer: HCF of 359, 2421, 4003 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 359, 2421, 4003 using Euclid's Algorithm?
Answer: For arbitrary numbers 359, 2421, 4003 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.