Highest Common Factor of 4604, 6393 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 4604, 6393 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4604, 6393 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 4604, 6393 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 4604, 6393 is 1.
HCF(4604, 6393) = 1
HCF of 4604, 6393 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4604, 6393 is 1.
Highest Common Factor of 4604,6393 is 1
Step 1: Since 6393 > 4604, we apply the division lemma to 6393 and 4604, to get
6393 = 4604 x 1 + 1789
Step 2: Since the reminder 4604 ≠ 0, we apply division lemma to 1789 and 4604, to get
4604 = 1789 x 2 + 1026
Step 3: We consider the new divisor 1789 and the new remainder 1026, and apply the division lemma to get
1789 = 1026 x 1 + 763
We consider the new divisor 1026 and the new remainder 763,and apply the division lemma to get
1026 = 763 x 1 + 263
We consider the new divisor 763 and the new remainder 263,and apply the division lemma to get
763 = 263 x 2 + 237
We consider the new divisor 263 and the new remainder 237,and apply the division lemma to get
263 = 237 x 1 + 26
We consider the new divisor 237 and the new remainder 26,and apply the division lemma to get
237 = 26 x 9 + 3
We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get
26 = 3 x 8 + 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 4604 and 6393 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(237,26) = HCF(263,237) = HCF(763,263) = HCF(1026,763) = HCF(1789,1026) = HCF(4604,1789) = HCF(6393,4604) .
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Frequently Asked Questions on HCF of 4604, 6393 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 4604, 6393?
Answer: HCF of 4604, 6393 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4604, 6393 using Euclid's Algorithm?
Answer: For arbitrary numbers 4604, 6393 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.