Highest Common Factor of 6359, 7182 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 6359, 7182 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6359, 7182 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 6359, 7182 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 6359, 7182 is 1.
HCF(6359, 7182) = 1
HCF of 6359, 7182 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6359, 7182 is 1.
Highest Common Factor of 6359,7182 is 1
Step 1: Since 7182 > 6359, we apply the division lemma to 7182 and 6359, to get
7182 = 6359 x 1 + 823
Step 2: Since the reminder 6359 ≠ 0, we apply division lemma to 823 and 6359, to get
6359 = 823 x 7 + 598
Step 3: We consider the new divisor 823 and the new remainder 598, and apply the division lemma to get
823 = 598 x 1 + 225
We consider the new divisor 598 and the new remainder 225,and apply the division lemma to get
598 = 225 x 2 + 148
We consider the new divisor 225 and the new remainder 148,and apply the division lemma to get
225 = 148 x 1 + 77
We consider the new divisor 148 and the new remainder 77,and apply the division lemma to get
148 = 77 x 1 + 71
We consider the new divisor 77 and the new remainder 71,and apply the division lemma to get
77 = 71 x 1 + 6
We consider the new divisor 71 and the new remainder 6,and apply the division lemma to get
71 = 6 x 11 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 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 6359 and 7182 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(71,6) = HCF(77,71) = HCF(148,77) = HCF(225,148) = HCF(598,225) = HCF(823,598) = HCF(6359,823) = HCF(7182,6359) .
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Frequently Asked Questions on HCF of 6359, 7182 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 6359, 7182?
Answer: HCF of 6359, 7182 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6359, 7182 using Euclid's Algorithm?
Answer: For arbitrary numbers 6359, 7182 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.