Highest Common Factor of 767, 983 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, 983 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 767, 983 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, 983 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, 983 is 1.
HCF(767, 983) = 1
HCF of 767, 983 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, 983 is 1.
Highest Common Factor of 767,983 is 1
Step 1: Since 983 > 767, we apply the division lemma to 983 and 767, to get
983 = 767 x 1 + 216
Step 2: Since the reminder 767 ≠ 0, we apply division lemma to 216 and 767, to get
767 = 216 x 3 + 119
Step 3: We consider the new divisor 216 and the new remainder 119, and apply the division lemma to get
216 = 119 x 1 + 97
We consider the new divisor 119 and the new remainder 97,and apply the division lemma to get
119 = 97 x 1 + 22
We consider the new divisor 97 and the new remainder 22,and apply the division lemma to get
97 = 22 x 4 + 9
We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get
22 = 9 x 2 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 767 and 983 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(97,22) = HCF(119,97) = HCF(216,119) = HCF(767,216) = HCF(983,767) .
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Frequently Asked Questions on HCF of 767, 983 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, 983?
Answer: HCF of 767, 983 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 767, 983 using Euclid's Algorithm?
Answer: For arbitrary numbers 767, 983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.