Highest Common Factor of 8026, 8496, 84644 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 8026, 8496, 84644 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8026, 8496, 84644 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 8026, 8496, 84644 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 8026, 8496, 84644 is 2.
HCF(8026, 8496, 84644) = 2
HCF of 8026, 8496, 84644 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8026, 8496, 84644 is 2.
Highest Common Factor of 8026,8496,84644 is 2
Step 1: Since 8496 > 8026, we apply the division lemma to 8496 and 8026, to get
8496 = 8026 x 1 + 470
Step 2: Since the reminder 8026 ≠ 0, we apply division lemma to 470 and 8026, to get
8026 = 470 x 17 + 36
Step 3: We consider the new divisor 470 and the new remainder 36, and apply the division lemma to get
470 = 36 x 13 + 2
We consider the new divisor 36 and the new remainder 2, and apply the division lemma to get
36 = 2 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8026 and 8496 is 2
Notice that 2 = HCF(36,2) = HCF(470,36) = HCF(8026,470) = HCF(8496,8026) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 84644 > 2, we apply the division lemma to 84644 and 2, to get
84644 = 2 x 42322 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 84644 is 2
Notice that 2 = HCF(84644,2) .
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Frequently Asked Questions on HCF of 8026, 8496, 84644 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 8026, 8496, 84644?
Answer: HCF of 8026, 8496, 84644 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8026, 8496, 84644 using Euclid's Algorithm?
Answer: For arbitrary numbers 8026, 8496, 84644 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.