Highest Common Factor of 767, 68694 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, 68694 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 767, 68694 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, 68694 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, 68694 is 1.
HCF(767, 68694) = 1
HCF of 767, 68694 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, 68694 is 1.
Highest Common Factor of 767,68694 is 1
Step 1: Since 68694 > 767, we apply the division lemma to 68694 and 767, to get
68694 = 767 x 89 + 431
Step 2: Since the reminder 767 ≠ 0, we apply division lemma to 431 and 767, to get
767 = 431 x 1 + 336
Step 3: We consider the new divisor 431 and the new remainder 336, and apply the division lemma to get
431 = 336 x 1 + 95
We consider the new divisor 336 and the new remainder 95,and apply the division lemma to get
336 = 95 x 3 + 51
We consider the new divisor 95 and the new remainder 51,and apply the division lemma to get
95 = 51 x 1 + 44
We consider the new divisor 51 and the new remainder 44,and apply the division lemma to get
51 = 44 x 1 + 7
We consider the new divisor 44 and the new remainder 7,and apply the division lemma to get
44 = 7 x 6 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 767 and 68694 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(44,7) = HCF(51,44) = HCF(95,51) = HCF(336,95) = HCF(431,336) = HCF(767,431) = HCF(68694,767) .
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Frequently Asked Questions on HCF of 767, 68694 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, 68694?
Answer: HCF of 767, 68694 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 767, 68694 using Euclid's Algorithm?
Answer: For arbitrary numbers 767, 68694 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
