Highest Common Factor of 9674, 8069 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 9674, 8069 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9674, 8069 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 9674, 8069 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 9674, 8069 is 1.
HCF(9674, 8069) = 1
HCF of 9674, 8069 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9674, 8069 is 1.
Highest Common Factor of 9674,8069 is 1
Step 1: Since 9674 > 8069, we apply the division lemma to 9674 and 8069, to get
9674 = 8069 x 1 + 1605
Step 2: Since the reminder 8069 ≠ 0, we apply division lemma to 1605 and 8069, to get
8069 = 1605 x 5 + 44
Step 3: We consider the new divisor 1605 and the new remainder 44, and apply the division lemma to get
1605 = 44 x 36 + 21
We consider the new divisor 44 and the new remainder 21,and apply the division lemma to get
44 = 21 x 2 + 2
We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get
21 = 2 x 10 + 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 9674 and 8069 is 1
Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(44,21) = HCF(1605,44) = HCF(8069,1605) = HCF(9674,8069) .
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Frequently Asked Questions on HCF of 9674, 8069 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 9674, 8069?
Answer: HCF of 9674, 8069 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9674, 8069 using Euclid's Algorithm?
Answer: For arbitrary numbers 9674, 8069 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.