Highest Common Factor of 8970, 5969 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, 5969 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8970, 5969 is 1 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, 5969 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, 5969 is 1.
HCF(8970, 5969) = 1
HCF of 8970, 5969 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, 5969 is 1.
Highest Common Factor of 8970,5969 is 1
Step 1: Since 8970 > 5969, we apply the division lemma to 8970 and 5969, to get
8970 = 5969 x 1 + 3001
Step 2: Since the reminder 5969 ≠ 0, we apply division lemma to 3001 and 5969, to get
5969 = 3001 x 1 + 2968
Step 3: We consider the new divisor 3001 and the new remainder 2968, and apply the division lemma to get
3001 = 2968 x 1 + 33
We consider the new divisor 2968 and the new remainder 33,and apply the division lemma to get
2968 = 33 x 89 + 31
We consider the new divisor 33 and the new remainder 31,and apply the division lemma to get
33 = 31 x 1 + 2
We consider the new divisor 31 and the new remainder 2,and apply the division lemma to get
31 = 2 x 15 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8970 and 5969 is 1
Notice that 1 = HCF(2,1) = HCF(31,2) = HCF(33,31) = HCF(2968,33) = HCF(3001,2968) = HCF(5969,3001) = HCF(8970,5969) .
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Frequently Asked Questions on HCF of 8970, 5969 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, 5969?
Answer: HCF of 8970, 5969 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8970, 5969 using Euclid's Algorithm?
Answer: For arbitrary numbers 8970, 5969 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.