Highest Common Factor of 9007, 2309 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 9007, 2309 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9007, 2309 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 9007, 2309 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 9007, 2309 is 1.
HCF(9007, 2309) = 1
HCF of 9007, 2309 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9007, 2309 is 1.
Highest Common Factor of 9007,2309 is 1
Step 1: Since 9007 > 2309, we apply the division lemma to 9007 and 2309, to get
9007 = 2309 x 3 + 2080
Step 2: Since the reminder 2309 ≠ 0, we apply division lemma to 2080 and 2309, to get
2309 = 2080 x 1 + 229
Step 3: We consider the new divisor 2080 and the new remainder 229, and apply the division lemma to get
2080 = 229 x 9 + 19
We consider the new divisor 229 and the new remainder 19,and apply the division lemma to get
229 = 19 x 12 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9007 and 2309 is 1
Notice that 1 = HCF(19,1) = HCF(229,19) = HCF(2080,229) = HCF(2309,2080) = HCF(9007,2309) .
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Frequently Asked Questions on HCF of 9007, 2309 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 9007, 2309?
Answer: HCF of 9007, 2309 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9007, 2309 using Euclid's Algorithm?
Answer: For arbitrary numbers 9007, 2309 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.