Highest Common Factor of 9933, 5264 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, 5264 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 9933, 5264 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, 5264 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, 5264 is 7.
HCF(9933, 5264) = 7
HCF of 9933, 5264 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, 5264 is 7.
Highest Common Factor of 9933,5264 is 7
Step 1: Since 9933 > 5264, we apply the division lemma to 9933 and 5264, to get
9933 = 5264 x 1 + 4669
Step 2: Since the reminder 5264 ≠ 0, we apply division lemma to 4669 and 5264, to get
5264 = 4669 x 1 + 595
Step 3: We consider the new divisor 4669 and the new remainder 595, and apply the division lemma to get
4669 = 595 x 7 + 504
We consider the new divisor 595 and the new remainder 504,and apply the division lemma to get
595 = 504 x 1 + 91
We consider the new divisor 504 and the new remainder 91,and apply the division lemma to get
504 = 91 x 5 + 49
We consider the new divisor 91 and the new remainder 49,and apply the division lemma to get
91 = 49 x 1 + 42
We consider the new divisor 49 and the new remainder 42,and apply the division lemma to get
49 = 42 x 1 + 7
We consider the new divisor 42 and the new remainder 7,and apply the division lemma to get
42 = 7 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 9933 and 5264 is 7
Notice that 7 = HCF(42,7) = HCF(49,42) = HCF(91,49) = HCF(504,91) = HCF(595,504) = HCF(4669,595) = HCF(5264,4669) = HCF(9933,5264) .
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Frequently Asked Questions on HCF of 9933, 5264 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, 5264?
Answer: HCF of 9933, 5264 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9933, 5264 using Euclid's Algorithm?
Answer: For arbitrary numbers 9933, 5264 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.