Highest Common Factor of 767, 6596 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, 6596 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 767, 6596 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, 6596 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, 6596 is 1.
HCF(767, 6596) = 1
HCF of 767, 6596 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, 6596 is 1.
Highest Common Factor of 767,6596 is 1
Step 1: Since 6596 > 767, we apply the division lemma to 6596 and 767, to get
6596 = 767 x 8 + 460
Step 2: Since the reminder 767 ≠ 0, we apply division lemma to 460 and 767, to get
767 = 460 x 1 + 307
Step 3: We consider the new divisor 460 and the new remainder 307, and apply the division lemma to get
460 = 307 x 1 + 153
We consider the new divisor 307 and the new remainder 153,and apply the division lemma to get
307 = 153 x 2 + 1
We consider the new divisor 153 and the new remainder 1,and apply the division lemma to get
153 = 1 x 153 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 767 and 6596 is 1
Notice that 1 = HCF(153,1) = HCF(307,153) = HCF(460,307) = HCF(767,460) = HCF(6596,767) .
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Frequently Asked Questions on HCF of 767, 6596 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, 6596?
Answer: HCF of 767, 6596 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 767, 6596 using Euclid's Algorithm?
Answer: For arbitrary numbers 767, 6596 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.