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 9062, 3634 i.e. 46 the largest integer that leaves a remainder zero for all numbers.
HCF of 9062, 3634 is 46 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 9062, 3634 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 9062, 3634 is 46.
HCF(9062, 3634) = 46
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9062, 3634 is 46.
Step 1: Since 9062 > 3634, we apply the division lemma to 9062 and 3634, to get
9062 = 3634 x 2 + 1794
Step 2: Since the reminder 3634 ≠ 0, we apply division lemma to 1794 and 3634, to get
3634 = 1794 x 2 + 46
Step 3: We consider the new divisor 1794 and the new remainder 46, and apply the division lemma to get
1794 = 46 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 46, the HCF of 9062 and 3634 is 46
Notice that 46 = HCF(1794,46) = HCF(3634,1794) = HCF(9062,3634) .
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 9062, 3634?
Answer: HCF of 9062, 3634 is 46 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9062, 3634 using Euclid's Algorithm?
Answer: For arbitrary numbers 9062, 3634 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.