Highest Common Factor of 9365, 1475 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 9365, 1475 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 9365, 1475 is 5 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 9365, 1475 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 9365, 1475 is 5.
HCF(9365, 1475) = 5
HCF of 9365, 1475 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9365, 1475 is 5.
Highest Common Factor of 9365,1475 is 5
Step 1: Since 9365 > 1475, we apply the division lemma to 9365 and 1475, to get
9365 = 1475 x 6 + 515
Step 2: Since the reminder 1475 ≠ 0, we apply division lemma to 515 and 1475, to get
1475 = 515 x 2 + 445
Step 3: We consider the new divisor 515 and the new remainder 445, and apply the division lemma to get
515 = 445 x 1 + 70
We consider the new divisor 445 and the new remainder 70,and apply the division lemma to get
445 = 70 x 6 + 25
We consider the new divisor 70 and the new remainder 25,and apply the division lemma to get
70 = 25 x 2 + 20
We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get
25 = 20 x 1 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 9365 and 1475 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(70,25) = HCF(445,70) = HCF(515,445) = HCF(1475,515) = HCF(9365,1475) .
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Frequently Asked Questions on HCF of 9365, 1475 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 9365, 1475?
Answer: HCF of 9365, 1475 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9365, 1475 using Euclid's Algorithm?
Answer: For arbitrary numbers 9365, 1475 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.