Highest Common Factor of 767, 8263 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 767, 8263 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 767, 8263 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 767, 8263 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 767, 8263 is 1.
HCF(767, 8263) = 1
HCF of 767, 8263 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 767, 8263 is 1.
Highest Common Factor of 767,8263 is 1
Step 1: Since 8263 > 767, we apply the division lemma to 8263 and 767, to get
8263 = 767 x 10 + 593
Step 2: Since the reminder 767 ≠ 0, we apply division lemma to 593 and 767, to get
767 = 593 x 1 + 174
Step 3: We consider the new divisor 593 and the new remainder 174, and apply the division lemma to get
593 = 174 x 3 + 71
We consider the new divisor 174 and the new remainder 71,and apply the division lemma to get
174 = 71 x 2 + 32
We consider the new divisor 71 and the new remainder 32,and apply the division lemma to get
71 = 32 x 2 + 7
We consider the new divisor 32 and the new remainder 7,and apply the division lemma to get
32 = 7 x 4 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 767 and 8263 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(32,7) = HCF(71,32) = HCF(174,71) = HCF(593,174) = HCF(767,593) = HCF(8263,767) .
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Frequently Asked Questions on HCF of 767, 8263 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 767, 8263?
Answer: HCF of 767, 8263 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 767, 8263 using Euclid's Algorithm?
Answer: For arbitrary numbers 767, 8263 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.