Highest Common Factor of 6389, 650 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 6389, 650 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6389, 650 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 6389, 650 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 6389, 650 is 1.
HCF(6389, 650) = 1
HCF of 6389, 650 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6389, 650 is 1.
Highest Common Factor of 6389,650 is 1
Step 1: Since 6389 > 650, we apply the division lemma to 6389 and 650, to get
6389 = 650 x 9 + 539
Step 2: Since the reminder 650 ≠ 0, we apply division lemma to 539 and 650, to get
650 = 539 x 1 + 111
Step 3: We consider the new divisor 539 and the new remainder 111, and apply the division lemma to get
539 = 111 x 4 + 95
We consider the new divisor 111 and the new remainder 95,and apply the division lemma to get
111 = 95 x 1 + 16
We consider the new divisor 95 and the new remainder 16,and apply the division lemma to get
95 = 16 x 5 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6389 and 650 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(95,16) = HCF(111,95) = HCF(539,111) = HCF(650,539) = HCF(6389,650) .
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Frequently Asked Questions on HCF of 6389, 650 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 6389, 650?
Answer: HCF of 6389, 650 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6389, 650 using Euclid's Algorithm?
Answer: For arbitrary numbers 6389, 650 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.