Highest Common Factor of 6604, 7143 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 6604, 7143 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6604, 7143 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 6604, 7143 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 6604, 7143 is 1.
HCF(6604, 7143) = 1
HCF of 6604, 7143 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6604, 7143 is 1.
Highest Common Factor of 6604,7143 is 1
Step 1: Since 7143 > 6604, we apply the division lemma to 7143 and 6604, to get
7143 = 6604 x 1 + 539
Step 2: Since the reminder 6604 ≠ 0, we apply division lemma to 539 and 6604, to get
6604 = 539 x 12 + 136
Step 3: We consider the new divisor 539 and the new remainder 136, and apply the division lemma to get
539 = 136 x 3 + 131
We consider the new divisor 136 and the new remainder 131,and apply the division lemma to get
136 = 131 x 1 + 5
We consider the new divisor 131 and the new remainder 5,and apply the division lemma to get
131 = 5 x 26 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6604 and 7143 is 1
Notice that 1 = HCF(5,1) = HCF(131,5) = HCF(136,131) = HCF(539,136) = HCF(6604,539) = HCF(7143,6604) .
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Frequently Asked Questions on HCF of 6604, 7143 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 6604, 7143?
Answer: HCF of 6604, 7143 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6604, 7143 using Euclid's Algorithm?
Answer: For arbitrary numbers 6604, 7143 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
