Highest Common Factor of 8662, 3956 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 8662, 3956 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8662, 3956 is 2 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 8662, 3956 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 8662, 3956 is 2.
HCF(8662, 3956) = 2
HCF of 8662, 3956 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8662, 3956 is 2.
Highest Common Factor of 8662,3956 is 2
Step 1: Since 8662 > 3956, we apply the division lemma to 8662 and 3956, to get
8662 = 3956 x 2 + 750
Step 2: Since the reminder 3956 ≠ 0, we apply division lemma to 750 and 3956, to get
3956 = 750 x 5 + 206
Step 3: We consider the new divisor 750 and the new remainder 206, and apply the division lemma to get
750 = 206 x 3 + 132
We consider the new divisor 206 and the new remainder 132,and apply the division lemma to get
206 = 132 x 1 + 74
We consider the new divisor 132 and the new remainder 74,and apply the division lemma to get
132 = 74 x 1 + 58
We consider the new divisor 74 and the new remainder 58,and apply the division lemma to get
74 = 58 x 1 + 16
We consider the new divisor 58 and the new remainder 16,and apply the division lemma to get
58 = 16 x 3 + 10
We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get
16 = 10 x 1 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8662 and 3956 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(58,16) = HCF(74,58) = HCF(132,74) = HCF(206,132) = HCF(750,206) = HCF(3956,750) = HCF(8662,3956) .
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Frequently Asked Questions on HCF of 8662, 3956 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 8662, 3956?
Answer: HCF of 8662, 3956 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8662, 3956 using Euclid's Algorithm?
Answer: For arbitrary numbers 8662, 3956 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
