Highest Common Factor of 3598, 6389 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 3598, 6389 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3598, 6389 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 3598, 6389 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 3598, 6389 is 1.
HCF(3598, 6389) = 1
HCF of 3598, 6389 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3598, 6389 is 1.
Highest Common Factor of 3598,6389 is 1
Step 1: Since 6389 > 3598, we apply the division lemma to 6389 and 3598, to get
6389 = 3598 x 1 + 2791
Step 2: Since the reminder 3598 ≠ 0, we apply division lemma to 2791 and 3598, to get
3598 = 2791 x 1 + 807
Step 3: We consider the new divisor 2791 and the new remainder 807, and apply the division lemma to get
2791 = 807 x 3 + 370
We consider the new divisor 807 and the new remainder 370,and apply the division lemma to get
807 = 370 x 2 + 67
We consider the new divisor 370 and the new remainder 67,and apply the division lemma to get
370 = 67 x 5 + 35
We consider the new divisor 67 and the new remainder 35,and apply the division lemma to get
67 = 35 x 1 + 32
We consider the new divisor 35 and the new remainder 32,and apply the division lemma to get
35 = 32 x 1 + 3
We consider the new divisor 32 and the new remainder 3,and apply the division lemma to get
32 = 3 x 10 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3598 and 6389 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) = HCF(35,32) = HCF(67,35) = HCF(370,67) = HCF(807,370) = HCF(2791,807) = HCF(3598,2791) = HCF(6389,3598) .
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Frequently Asked Questions on HCF of 3598, 6389 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 3598, 6389?
Answer: HCF of 3598, 6389 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3598, 6389 using Euclid's Algorithm?
Answer: For arbitrary numbers 3598, 6389 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
