Highest Common Factor of 712, 6333 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 712, 6333 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 712, 6333 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 712, 6333 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 712, 6333 is 1.
HCF(712, 6333) = 1
HCF of 712, 6333 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 712, 6333 is 1.
Highest Common Factor of 712,6333 is 1
Step 1: Since 6333 > 712, we apply the division lemma to 6333 and 712, to get
6333 = 712 x 8 + 637
Step 2: Since the reminder 712 ≠ 0, we apply division lemma to 637 and 712, to get
712 = 637 x 1 + 75
Step 3: We consider the new divisor 637 and the new remainder 75, and apply the division lemma to get
637 = 75 x 8 + 37
We consider the new divisor 75 and the new remainder 37,and apply the division lemma to get
75 = 37 x 2 + 1
We consider the new divisor 37 and the new remainder 1,and apply the division lemma to get
37 = 1 x 37 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 712 and 6333 is 1
Notice that 1 = HCF(37,1) = HCF(75,37) = HCF(637,75) = HCF(712,637) = HCF(6333,712) .
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Frequently Asked Questions on HCF of 712, 6333 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 712, 6333?
Answer: HCF of 712, 6333 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 712, 6333 using Euclid's Algorithm?
Answer: For arbitrary numbers 712, 6333 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.