Highest Common Factor of 623, 982 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 623, 982 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 623, 982 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 623, 982 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 623, 982 is 1.
HCF(623, 982) = 1
HCF of 623, 982 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 623, 982 is 1.
Highest Common Factor of 623,982 is 1
Step 1: Since 982 > 623, we apply the division lemma to 982 and 623, to get
982 = 623 x 1 + 359
Step 2: Since the reminder 623 ≠ 0, we apply division lemma to 359 and 623, to get
623 = 359 x 1 + 264
Step 3: We consider the new divisor 359 and the new remainder 264, and apply the division lemma to get
359 = 264 x 1 + 95
We consider the new divisor 264 and the new remainder 95,and apply the division lemma to get
264 = 95 x 2 + 74
We consider the new divisor 95 and the new remainder 74,and apply the division lemma to get
95 = 74 x 1 + 21
We consider the new divisor 74 and the new remainder 21,and apply the division lemma to get
74 = 21 x 3 + 11
We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get
21 = 11 x 1 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 623 and 982 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(74,21) = HCF(95,74) = HCF(264,95) = HCF(359,264) = HCF(623,359) = HCF(982,623) .
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Frequently Asked Questions on HCF of 623, 982 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 623, 982?
Answer: HCF of 623, 982 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 623, 982 using Euclid's Algorithm?
Answer: For arbitrary numbers 623, 982 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.