Highest Common Factor of 8970, 4022, 39326 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 8970, 4022, 39326 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8970, 4022, 39326 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 8970, 4022, 39326 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 8970, 4022, 39326 is 2.
HCF(8970, 4022, 39326) = 2
HCF of 8970, 4022, 39326 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8970, 4022, 39326 is 2.
Highest Common Factor of 8970,4022,39326 is 2
Step 1: Since 8970 > 4022, we apply the division lemma to 8970 and 4022, to get
8970 = 4022 x 2 + 926
Step 2: Since the reminder 4022 ≠ 0, we apply division lemma to 926 and 4022, to get
4022 = 926 x 4 + 318
Step 3: We consider the new divisor 926 and the new remainder 318, and apply the division lemma to get
926 = 318 x 2 + 290
We consider the new divisor 318 and the new remainder 290,and apply the division lemma to get
318 = 290 x 1 + 28
We consider the new divisor 290 and the new remainder 28,and apply the division lemma to get
290 = 28 x 10 + 10
We consider the new divisor 28 and the new remainder 10,and apply the division lemma to get
28 = 10 x 2 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8970 and 4022 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(28,10) = HCF(290,28) = HCF(318,290) = HCF(926,318) = HCF(4022,926) = HCF(8970,4022) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 39326 > 2, we apply the division lemma to 39326 and 2, to get
39326 = 2 x 19663 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 39326 is 2
Notice that 2 = HCF(39326,2) .
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Frequently Asked Questions on HCF of 8970, 4022, 39326 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 8970, 4022, 39326?
Answer: HCF of 8970, 4022, 39326 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8970, 4022, 39326 using Euclid's Algorithm?
Answer: For arbitrary numbers 8970, 4022, 39326 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.