Highest Common Factor of 933, 6313 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, 6313 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 933, 6313 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, 6313 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, 6313 is 1.
HCF(933, 6313) = 1
HCF of 933, 6313 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, 6313 is 1.
Highest Common Factor of 933,6313 is 1
Step 1: Since 6313 > 933, we apply the division lemma to 6313 and 933, to get
6313 = 933 x 6 + 715
Step 2: Since the reminder 933 ≠ 0, we apply division lemma to 715 and 933, to get
933 = 715 x 1 + 218
Step 3: We consider the new divisor 715 and the new remainder 218, and apply the division lemma to get
715 = 218 x 3 + 61
We consider the new divisor 218 and the new remainder 61,and apply the division lemma to get
218 = 61 x 3 + 35
We consider the new divisor 61 and the new remainder 35,and apply the division lemma to get
61 = 35 x 1 + 26
We consider the new divisor 35 and the new remainder 26,and apply the division lemma to get
35 = 26 x 1 + 9
We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get
26 = 9 x 2 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 933 and 6313 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(35,26) = HCF(61,35) = HCF(218,61) = HCF(715,218) = HCF(933,715) = HCF(6313,933) .
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Frequently Asked Questions on HCF of 933, 6313 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, 6313?
Answer: HCF of 933, 6313 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 933, 6313 using Euclid's Algorithm?
Answer: For arbitrary numbers 933, 6313 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.