Highest Common Factor of 7067, 6093 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 7067, 6093 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7067, 6093 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 7067, 6093 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 7067, 6093 is 1.
HCF(7067, 6093) = 1
HCF of 7067, 6093 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7067, 6093 is 1.
Highest Common Factor of 7067,6093 is 1
Step 1: Since 7067 > 6093, we apply the division lemma to 7067 and 6093, to get
7067 = 6093 x 1 + 974
Step 2: Since the reminder 6093 ≠ 0, we apply division lemma to 974 and 6093, to get
6093 = 974 x 6 + 249
Step 3: We consider the new divisor 974 and the new remainder 249, and apply the division lemma to get
974 = 249 x 3 + 227
We consider the new divisor 249 and the new remainder 227,and apply the division lemma to get
249 = 227 x 1 + 22
We consider the new divisor 227 and the new remainder 22,and apply the division lemma to get
227 = 22 x 10 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7067 and 6093 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(227,22) = HCF(249,227) = HCF(974,249) = HCF(6093,974) = HCF(7067,6093) .
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Frequently Asked Questions on HCF of 7067, 6093 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 7067, 6093?
Answer: HCF of 7067, 6093 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7067, 6093 using Euclid's Algorithm?
Answer: For arbitrary numbers 7067, 6093 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.