Highest Common Factor of 6388, 9562 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 6388, 9562 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6388, 9562 is 2 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 6388, 9562 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 6388, 9562 is 2.
HCF(6388, 9562) = 2
HCF of 6388, 9562 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6388, 9562 is 2.
Highest Common Factor of 6388,9562 is 2
Step 1: Since 9562 > 6388, we apply the division lemma to 9562 and 6388, to get
9562 = 6388 x 1 + 3174
Step 2: Since the reminder 6388 ≠ 0, we apply division lemma to 3174 and 6388, to get
6388 = 3174 x 2 + 40
Step 3: We consider the new divisor 3174 and the new remainder 40, and apply the division lemma to get
3174 = 40 x 79 + 14
We consider the new divisor 40 and the new remainder 14,and apply the division lemma to get
40 = 14 x 2 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6388 and 9562 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(40,14) = HCF(3174,40) = HCF(6388,3174) = HCF(9562,6388) .
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Frequently Asked Questions on HCF of 6388, 9562 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 6388, 9562?
Answer: HCF of 6388, 9562 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6388, 9562 using Euclid's Algorithm?
Answer: For arbitrary numbers 6388, 9562 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.