Highest Common Factor of 9665, 7219 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 9665, 7219 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9665, 7219 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 9665, 7219 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 9665, 7219 is 1.
HCF(9665, 7219) = 1
HCF of 9665, 7219 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9665, 7219 is 1.
Highest Common Factor of 9665,7219 is 1
Step 1: Since 9665 > 7219, we apply the division lemma to 9665 and 7219, to get
9665 = 7219 x 1 + 2446
Step 2: Since the reminder 7219 ≠ 0, we apply division lemma to 2446 and 7219, to get
7219 = 2446 x 2 + 2327
Step 3: We consider the new divisor 2446 and the new remainder 2327, and apply the division lemma to get
2446 = 2327 x 1 + 119
We consider the new divisor 2327 and the new remainder 119,and apply the division lemma to get
2327 = 119 x 19 + 66
We consider the new divisor 119 and the new remainder 66,and apply the division lemma to get
119 = 66 x 1 + 53
We consider the new divisor 66 and the new remainder 53,and apply the division lemma to get
66 = 53 x 1 + 13
We consider the new divisor 53 and the new remainder 13,and apply the division lemma to get
53 = 13 x 4 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9665 and 7219 is 1
Notice that 1 = HCF(13,1) = HCF(53,13) = HCF(66,53) = HCF(119,66) = HCF(2327,119) = HCF(2446,2327) = HCF(7219,2446) = HCF(9665,7219) .
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Frequently Asked Questions on HCF of 9665, 7219 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 9665, 7219?
Answer: HCF of 9665, 7219 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9665, 7219 using Euclid's Algorithm?
Answer: For arbitrary numbers 9665, 7219 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.