Highest Common Factor of 6678, 9005 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 6678, 9005 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6678, 9005 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 6678, 9005 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 6678, 9005 is 1.
HCF(6678, 9005) = 1
HCF of 6678, 9005 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6678, 9005 is 1.
Highest Common Factor of 6678,9005 is 1
Step 1: Since 9005 > 6678, we apply the division lemma to 9005 and 6678, to get
9005 = 6678 x 1 + 2327
Step 2: Since the reminder 6678 ≠ 0, we apply division lemma to 2327 and 6678, to get
6678 = 2327 x 2 + 2024
Step 3: We consider the new divisor 2327 and the new remainder 2024, and apply the division lemma to get
2327 = 2024 x 1 + 303
We consider the new divisor 2024 and the new remainder 303,and apply the division lemma to get
2024 = 303 x 6 + 206
We consider the new divisor 303 and the new remainder 206,and apply the division lemma to get
303 = 206 x 1 + 97
We consider the new divisor 206 and the new remainder 97,and apply the division lemma to get
206 = 97 x 2 + 12
We consider the new divisor 97 and the new remainder 12,and apply the division lemma to get
97 = 12 x 8 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6678 and 9005 is 1
Notice that 1 = HCF(12,1) = HCF(97,12) = HCF(206,97) = HCF(303,206) = HCF(2024,303) = HCF(2327,2024) = HCF(6678,2327) = HCF(9005,6678) .
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Frequently Asked Questions on HCF of 6678, 9005 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 6678, 9005?
Answer: HCF of 6678, 9005 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6678, 9005 using Euclid's Algorithm?
Answer: For arbitrary numbers 6678, 9005 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.