Highest Common Factor of 933, 89324 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 933, 89324 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 933, 89324 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 933, 89324 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 933, 89324 is 1.
HCF(933, 89324) = 1
HCF of 933, 89324 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 933, 89324 is 1.
Highest Common Factor of 933,89324 is 1
Step 1: Since 89324 > 933, we apply the division lemma to 89324 and 933, to get
89324 = 933 x 95 + 689
Step 2: Since the reminder 933 ≠ 0, we apply division lemma to 689 and 933, to get
933 = 689 x 1 + 244
Step 3: We consider the new divisor 689 and the new remainder 244, and apply the division lemma to get
689 = 244 x 2 + 201
We consider the new divisor 244 and the new remainder 201,and apply the division lemma to get
244 = 201 x 1 + 43
We consider the new divisor 201 and the new remainder 43,and apply the division lemma to get
201 = 43 x 4 + 29
We consider the new divisor 43 and the new remainder 29,and apply the division lemma to get
43 = 29 x 1 + 14
We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get
29 = 14 x 2 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 933 and 89324 is 1
Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(43,29) = HCF(201,43) = HCF(244,201) = HCF(689,244) = HCF(933,689) = HCF(89324,933) .
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Frequently Asked Questions on HCF of 933, 89324 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 933, 89324?
Answer: HCF of 933, 89324 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 933, 89324 using Euclid's Algorithm?
Answer: For arbitrary numbers 933, 89324 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.