Highest Common Factor of 3652, 1999 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 3652, 1999 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3652, 1999 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 3652, 1999 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 3652, 1999 is 1.
HCF(3652, 1999) = 1
HCF of 3652, 1999 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3652, 1999 is 1.
Highest Common Factor of 3652,1999 is 1
Step 1: Since 3652 > 1999, we apply the division lemma to 3652 and 1999, to get
3652 = 1999 x 1 + 1653
Step 2: Since the reminder 1999 ≠ 0, we apply division lemma to 1653 and 1999, to get
1999 = 1653 x 1 + 346
Step 3: We consider the new divisor 1653 and the new remainder 346, and apply the division lemma to get
1653 = 346 x 4 + 269
We consider the new divisor 346 and the new remainder 269,and apply the division lemma to get
346 = 269 x 1 + 77
We consider the new divisor 269 and the new remainder 77,and apply the division lemma to get
269 = 77 x 3 + 38
We consider the new divisor 77 and the new remainder 38,and apply the division lemma to get
77 = 38 x 2 + 1
We consider the new divisor 38 and the new remainder 1,and apply the division lemma to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3652 and 1999 is 1
Notice that 1 = HCF(38,1) = HCF(77,38) = HCF(269,77) = HCF(346,269) = HCF(1653,346) = HCF(1999,1653) = HCF(3652,1999) .
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Frequently Asked Questions on HCF of 3652, 1999 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 3652, 1999?
Answer: HCF of 3652, 1999 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3652, 1999 using Euclid's Algorithm?
Answer: For arbitrary numbers 3652, 1999 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.