Highest Common Factor of 1995, 3403 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 1995, 3403 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1995, 3403 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 1995, 3403 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 1995, 3403 is 1.
HCF(1995, 3403) = 1
HCF of 1995, 3403 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1995, 3403 is 1.
Highest Common Factor of 1995,3403 is 1
Step 1: Since 3403 > 1995, we apply the division lemma to 3403 and 1995, to get
3403 = 1995 x 1 + 1408
Step 2: Since the reminder 1995 ≠ 0, we apply division lemma to 1408 and 1995, to get
1995 = 1408 x 1 + 587
Step 3: We consider the new divisor 1408 and the new remainder 587, and apply the division lemma to get
1408 = 587 x 2 + 234
We consider the new divisor 587 and the new remainder 234,and apply the division lemma to get
587 = 234 x 2 + 119
We consider the new divisor 234 and the new remainder 119,and apply the division lemma to get
234 = 119 x 1 + 115
We consider the new divisor 119 and the new remainder 115,and apply the division lemma to get
119 = 115 x 1 + 4
We consider the new divisor 115 and the new remainder 4,and apply the division lemma to get
115 = 4 x 28 + 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 1995 and 3403 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(115,4) = HCF(119,115) = HCF(234,119) = HCF(587,234) = HCF(1408,587) = HCF(1995,1408) = HCF(3403,1995) .
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Frequently Asked Questions on HCF of 1995, 3403 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 1995, 3403?
Answer: HCF of 1995, 3403 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1995, 3403 using Euclid's Algorithm?
Answer: For arbitrary numbers 1995, 3403 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
