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 9218, 132 i.e. 22 the largest integer that leaves a remainder zero for all numbers.
HCF of 9218, 132 is 22 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 9218, 132 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 9218, 132 is 22.
HCF(9218, 132) = 22
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9218, 132 is 22.
Step 1: Since 9218 > 132, we apply the division lemma to 9218 and 132, to get
9218 = 132 x 69 + 110
Step 2: Since the reminder 132 ≠ 0, we apply division lemma to 110 and 132, to get
132 = 110 x 1 + 22
Step 3: We consider the new divisor 110 and the new remainder 22, and apply the division lemma to get
110 = 22 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 9218 and 132 is 22
Notice that 22 = HCF(110,22) = HCF(132,110) = HCF(9218,132) .
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 9218, 132?
Answer: HCF of 9218, 132 is 22 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9218, 132 using Euclid's Algorithm?
Answer: For arbitrary numbers 9218, 132 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.