Highest Common Factor of 7213, 6323 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 7213, 6323 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7213, 6323 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 7213, 6323 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 7213, 6323 is 1.
HCF(7213, 6323) = 1
HCF of 7213, 6323 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7213, 6323 is 1.
Highest Common Factor of 7213,6323 is 1
Step 1: Since 7213 > 6323, we apply the division lemma to 7213 and 6323, to get
7213 = 6323 x 1 + 890
Step 2: Since the reminder 6323 ≠ 0, we apply division lemma to 890 and 6323, to get
6323 = 890 x 7 + 93
Step 3: We consider the new divisor 890 and the new remainder 93, and apply the division lemma to get
890 = 93 x 9 + 53
We consider the new divisor 93 and the new remainder 53,and apply the division lemma to get
93 = 53 x 1 + 40
We consider the new divisor 53 and the new remainder 40,and apply the division lemma to get
53 = 40 x 1 + 13
We consider the new divisor 40 and the new remainder 13,and apply the division lemma to get
40 = 13 x 3 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7213 and 6323 is 1
Notice that 1 = HCF(13,1) = HCF(40,13) = HCF(53,40) = HCF(93,53) = HCF(890,93) = HCF(6323,890) = HCF(7213,6323) .
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Frequently Asked Questions on HCF of 7213, 6323 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 7213, 6323?
Answer: HCF of 7213, 6323 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7213, 6323 using Euclid's Algorithm?
Answer: For arbitrary numbers 7213, 6323 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
