Highest Common Factor of 8497, 967 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 8497, 967 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8497, 967 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 8497, 967 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 8497, 967 is 1.
HCF(8497, 967) = 1
HCF of 8497, 967 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8497, 967 is 1.
Highest Common Factor of 8497,967 is 1
Step 1: Since 8497 > 967, we apply the division lemma to 8497 and 967, to get
8497 = 967 x 8 + 761
Step 2: Since the reminder 967 ≠ 0, we apply division lemma to 761 and 967, to get
967 = 761 x 1 + 206
Step 3: We consider the new divisor 761 and the new remainder 206, and apply the division lemma to get
761 = 206 x 3 + 143
We consider the new divisor 206 and the new remainder 143,and apply the division lemma to get
206 = 143 x 1 + 63
We consider the new divisor 143 and the new remainder 63,and apply the division lemma to get
143 = 63 x 2 + 17
We consider the new divisor 63 and the new remainder 17,and apply the division lemma to get
63 = 17 x 3 + 12
We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get
17 = 12 x 1 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 8497 and 967 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(63,17) = HCF(143,63) = HCF(206,143) = HCF(761,206) = HCF(967,761) = HCF(8497,967) .
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Frequently Asked Questions on HCF of 8497, 967 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 8497, 967?
Answer: HCF of 8497, 967 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8497, 967 using Euclid's Algorithm?
Answer: For arbitrary numbers 8497, 967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.