Highest Common Factor of 8160, 8636 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 8160, 8636 i.e. 68 the largest integer that leaves a remainder zero for all numbers.
HCF of 8160, 8636 is 68 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 8160, 8636 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 8160, 8636 is 68.
HCF(8160, 8636) = 68
HCF of 8160, 8636 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8160, 8636 is 68.
Highest Common Factor of 8160,8636 is 68
Step 1: Since 8636 > 8160, we apply the division lemma to 8636 and 8160, to get
8636 = 8160 x 1 + 476
Step 2: Since the reminder 8160 ≠ 0, we apply division lemma to 476 and 8160, to get
8160 = 476 x 17 + 68
Step 3: We consider the new divisor 476 and the new remainder 68, and apply the division lemma to get
476 = 68 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 68, the HCF of 8160 and 8636 is 68
Notice that 68 = HCF(476,68) = HCF(8160,476) = HCF(8636,8160) .
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Frequently Asked Questions on HCF of 8160, 8636 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 8160, 8636?
Answer: HCF of 8160, 8636 is 68 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8160, 8636 using Euclid's Algorithm?
Answer: For arbitrary numbers 8160, 8636 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.