Highest Common Factor of 9097, 6008 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 9097, 6008 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9097, 6008 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 9097, 6008 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 9097, 6008 is 1.
HCF(9097, 6008) = 1
HCF of 9097, 6008 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9097, 6008 is 1.
Highest Common Factor of 9097,6008 is 1
Step 1: Since 9097 > 6008, we apply the division lemma to 9097 and 6008, to get
9097 = 6008 x 1 + 3089
Step 2: Since the reminder 6008 ≠ 0, we apply division lemma to 3089 and 6008, to get
6008 = 3089 x 1 + 2919
Step 3: We consider the new divisor 3089 and the new remainder 2919, and apply the division lemma to get
3089 = 2919 x 1 + 170
We consider the new divisor 2919 and the new remainder 170,and apply the division lemma to get
2919 = 170 x 17 + 29
We consider the new divisor 170 and the new remainder 29,and apply the division lemma to get
170 = 29 x 5 + 25
We consider the new divisor 29 and the new remainder 25,and apply the division lemma to get
29 = 25 x 1 + 4
We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get
25 = 4 x 6 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9097 and 6008 is 1
Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(29,25) = HCF(170,29) = HCF(2919,170) = HCF(3089,2919) = HCF(6008,3089) = HCF(9097,6008) .
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Frequently Asked Questions on HCF of 9097, 6008 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 9097, 6008?
Answer: HCF of 9097, 6008 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9097, 6008 using Euclid's Algorithm?
Answer: For arbitrary numbers 9097, 6008 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.