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 9362, 465 i.e. 31 the largest integer that leaves a remainder zero for all numbers.
HCF of 9362, 465 is 31 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 9362, 465 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 9362, 465 is 31.
HCF(9362, 465) = 31
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9362, 465 is 31.
Step 1: Since 9362 > 465, we apply the division lemma to 9362 and 465, to get
9362 = 465 x 20 + 62
Step 2: Since the reminder 465 ≠ 0, we apply division lemma to 62 and 465, to get
465 = 62 x 7 + 31
Step 3: We consider the new divisor 62 and the new remainder 31, and apply the division lemma to get
62 = 31 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 9362 and 465 is 31
Notice that 31 = HCF(62,31) = HCF(465,62) = HCF(9362,465) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 9362, 465?
Answer: HCF of 9362, 465 is 31 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9362, 465 using Euclid's Algorithm?
Answer: For arbitrary numbers 9362, 465 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.