Highest Common Factor of 6675, 4604 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 6675, 4604 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6675, 4604 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 6675, 4604 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 6675, 4604 is 1.
HCF(6675, 4604) = 1
HCF of 6675, 4604 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6675, 4604 is 1.
Highest Common Factor of 6675,4604 is 1
Step 1: Since 6675 > 4604, we apply the division lemma to 6675 and 4604, to get
6675 = 4604 x 1 + 2071
Step 2: Since the reminder 4604 ≠ 0, we apply division lemma to 2071 and 4604, to get
4604 = 2071 x 2 + 462
Step 3: We consider the new divisor 2071 and the new remainder 462, and apply the division lemma to get
2071 = 462 x 4 + 223
We consider the new divisor 462 and the new remainder 223,and apply the division lemma to get
462 = 223 x 2 + 16
We consider the new divisor 223 and the new remainder 16,and apply the division lemma to get
223 = 16 x 13 + 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 6675 and 4604 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(223,16) = HCF(462,223) = HCF(2071,462) = HCF(4604,2071) = HCF(6675,4604) .
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Frequently Asked Questions on HCF of 6675, 4604 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 6675, 4604?
Answer: HCF of 6675, 4604 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6675, 4604 using Euclid's Algorithm?
Answer: For arbitrary numbers 6675, 4604 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.