Highest Common Factor of 961, 33332 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 961, 33332 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 961, 33332 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 961, 33332 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 961, 33332 is 1.
HCF(961, 33332) = 1
HCF of 961, 33332 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 961, 33332 is 1.
Highest Common Factor of 961,33332 is 1
Step 1: Since 33332 > 961, we apply the division lemma to 33332 and 961, to get
33332 = 961 x 34 + 658
Step 2: Since the reminder 961 ≠ 0, we apply division lemma to 658 and 961, to get
961 = 658 x 1 + 303
Step 3: We consider the new divisor 658 and the new remainder 303, and apply the division lemma to get
658 = 303 x 2 + 52
We consider the new divisor 303 and the new remainder 52,and apply the division lemma to get
303 = 52 x 5 + 43
We consider the new divisor 52 and the new remainder 43,and apply the division lemma to get
52 = 43 x 1 + 9
We consider the new divisor 43 and the new remainder 9,and apply the division lemma to get
43 = 9 x 4 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 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 961 and 33332 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(43,9) = HCF(52,43) = HCF(303,52) = HCF(658,303) = HCF(961,658) = HCF(33332,961) .
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Frequently Asked Questions on HCF of 961, 33332 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 961, 33332?
Answer: HCF of 961, 33332 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 961, 33332 using Euclid's Algorithm?
Answer: For arbitrary numbers 961, 33332 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.