Highest Common Factor of 9933, 3955 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 9933, 3955 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 9933, 3955 is 7 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 9933, 3955 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 9933, 3955 is 7.
HCF(9933, 3955) = 7
HCF of 9933, 3955 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9933, 3955 is 7.
Highest Common Factor of 9933,3955 is 7
Step 1: Since 9933 > 3955, we apply the division lemma to 9933 and 3955, to get
9933 = 3955 x 2 + 2023
Step 2: Since the reminder 3955 ≠ 0, we apply division lemma to 2023 and 3955, to get
3955 = 2023 x 1 + 1932
Step 3: We consider the new divisor 2023 and the new remainder 1932, and apply the division lemma to get
2023 = 1932 x 1 + 91
We consider the new divisor 1932 and the new remainder 91,and apply the division lemma to get
1932 = 91 x 21 + 21
We consider the new divisor 91 and the new remainder 21,and apply the division lemma to get
91 = 21 x 4 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 9933 and 3955 is 7
Notice that 7 = HCF(21,7) = HCF(91,21) = HCF(1932,91) = HCF(2023,1932) = HCF(3955,2023) = HCF(9933,3955) .
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Frequently Asked Questions on HCF of 9933, 3955 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 9933, 3955?
Answer: HCF of 9933, 3955 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9933, 3955 using Euclid's Algorithm?
Answer: For arbitrary numbers 9933, 3955 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.