Highest Common Factor of 3196, 3659 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 3196, 3659 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3196, 3659 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 3196, 3659 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 3196, 3659 is 1.
HCF(3196, 3659) = 1
HCF of 3196, 3659 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3196, 3659 is 1.
Highest Common Factor of 3196,3659 is 1
Step 1: Since 3659 > 3196, we apply the division lemma to 3659 and 3196, to get
3659 = 3196 x 1 + 463
Step 2: Since the reminder 3196 ≠ 0, we apply division lemma to 463 and 3196, to get
3196 = 463 x 6 + 418
Step 3: We consider the new divisor 463 and the new remainder 418, and apply the division lemma to get
463 = 418 x 1 + 45
We consider the new divisor 418 and the new remainder 45,and apply the division lemma to get
418 = 45 x 9 + 13
We consider the new divisor 45 and the new remainder 13,and apply the division lemma to get
45 = 13 x 3 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3196 and 3659 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(45,13) = HCF(418,45) = HCF(463,418) = HCF(3196,463) = HCF(3659,3196) .
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Frequently Asked Questions on HCF of 3196, 3659 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 3196, 3659?
Answer: HCF of 3196, 3659 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3196, 3659 using Euclid's Algorithm?
Answer: For arbitrary numbers 3196, 3659 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.