Highest Common Factor of 8640, 1182 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 8640, 1182 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 8640, 1182 is 6 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 8640, 1182 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 8640, 1182 is 6.
HCF(8640, 1182) = 6
HCF of 8640, 1182 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8640, 1182 is 6.
Highest Common Factor of 8640,1182 is 6
Step 1: Since 8640 > 1182, we apply the division lemma to 8640 and 1182, to get
8640 = 1182 x 7 + 366
Step 2: Since the reminder 1182 ≠ 0, we apply division lemma to 366 and 1182, to get
1182 = 366 x 3 + 84
Step 3: We consider the new divisor 366 and the new remainder 84, and apply the division lemma to get
366 = 84 x 4 + 30
We consider the new divisor 84 and the new remainder 30,and apply the division lemma to get
84 = 30 x 2 + 24
We consider the new divisor 30 and the new remainder 24,and apply the division lemma to get
30 = 24 x 1 + 6
We consider the new divisor 24 and the new remainder 6,and apply the division lemma to get
24 = 6 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 8640 and 1182 is 6
Notice that 6 = HCF(24,6) = HCF(30,24) = HCF(84,30) = HCF(366,84) = HCF(1182,366) = HCF(8640,1182) .
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Frequently Asked Questions on HCF of 8640, 1182 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 8640, 1182?
Answer: HCF of 8640, 1182 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8640, 1182 using Euclid's Algorithm?
Answer: For arbitrary numbers 8640, 1182 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.