Highest Common Factor of 8766, 3237 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 8766, 3237 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8766, 3237 is 3 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 8766, 3237 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 8766, 3237 is 3.
HCF(8766, 3237) = 3
HCF of 8766, 3237 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8766, 3237 is 3.
Highest Common Factor of 8766,3237 is 3
Step 1: Since 8766 > 3237, we apply the division lemma to 8766 and 3237, to get
8766 = 3237 x 2 + 2292
Step 2: Since the reminder 3237 ≠ 0, we apply division lemma to 2292 and 3237, to get
3237 = 2292 x 1 + 945
Step 3: We consider the new divisor 2292 and the new remainder 945, and apply the division lemma to get
2292 = 945 x 2 + 402
We consider the new divisor 945 and the new remainder 402,and apply the division lemma to get
945 = 402 x 2 + 141
We consider the new divisor 402 and the new remainder 141,and apply the division lemma to get
402 = 141 x 2 + 120
We consider the new divisor 141 and the new remainder 120,and apply the division lemma to get
141 = 120 x 1 + 21
We consider the new divisor 120 and the new remainder 21,and apply the division lemma to get
120 = 21 x 5 + 15
We consider the new divisor 21 and the new remainder 15,and apply the division lemma to get
21 = 15 x 1 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8766 and 3237 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(21,15) = HCF(120,21) = HCF(141,120) = HCF(402,141) = HCF(945,402) = HCF(2292,945) = HCF(3237,2292) = HCF(8766,3237) .
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Frequently Asked Questions on HCF of 8766, 3237 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 8766, 3237?
Answer: HCF of 8766, 3237 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8766, 3237 using Euclid's Algorithm?
Answer: For arbitrary numbers 8766, 3237 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.