Highest Common Factor of 9014, 8049 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 9014, 8049 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9014, 8049 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 9014, 8049 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 9014, 8049 is 1.
HCF(9014, 8049) = 1
HCF of 9014, 8049 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9014, 8049 is 1.
Highest Common Factor of 9014,8049 is 1
Step 1: Since 9014 > 8049, we apply the division lemma to 9014 and 8049, to get
9014 = 8049 x 1 + 965
Step 2: Since the reminder 8049 ≠ 0, we apply division lemma to 965 and 8049, to get
8049 = 965 x 8 + 329
Step 3: We consider the new divisor 965 and the new remainder 329, and apply the division lemma to get
965 = 329 x 2 + 307
We consider the new divisor 329 and the new remainder 307,and apply the division lemma to get
329 = 307 x 1 + 22
We consider the new divisor 307 and the new remainder 22,and apply the division lemma to get
307 = 22 x 13 + 21
We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get
22 = 21 x 1 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9014 and 8049 is 1
Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(307,22) = HCF(329,307) = HCF(965,329) = HCF(8049,965) = HCF(9014,8049) .
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Frequently Asked Questions on HCF of 9014, 8049 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 9014, 8049?
Answer: HCF of 9014, 8049 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9014, 8049 using Euclid's Algorithm?
Answer: For arbitrary numbers 9014, 8049 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.