Highest Common Factor of 462, 264 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 462, 264 i.e. 66 the largest integer that leaves a remainder zero for all numbers.
HCF of 462, 264 is 66 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 462, 264 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 462, 264 is 66.
HCF(462, 264) = 66
HCF of 462, 264 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 462, 264 is 66.
Highest Common Factor of 462,264 is 66
Step 1: Since 462 > 264, we apply the division lemma to 462 and 264, to get
462 = 264 x 1 + 198
Step 2: Since the reminder 264 ≠ 0, we apply division lemma to 198 and 264, to get
264 = 198 x 1 + 66
Step 3: We consider the new divisor 198 and the new remainder 66, and apply the division lemma to get
198 = 66 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 66, the HCF of 462 and 264 is 66
Notice that 66 = HCF(198,66) = HCF(264,198) = HCF(462,264) .
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Frequently Asked Questions on HCF of 462, 264 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 462, 264?
Answer: HCF of 462, 264 is 66 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 462, 264 using Euclid's Algorithm?
Answer: For arbitrary numbers 462, 264 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.