Highest Common Factor of 720, 468 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 720, 468 i.e. 36 the largest integer that leaves a remainder zero for all numbers.
HCF of 720, 468 is 36 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 720, 468 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 720, 468 is 36.
HCF(720, 468) = 36
HCF of 720, 468 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 720, 468 is 36.
Highest Common Factor of 720,468 is 36
Step 1: Since 720 > 468, we apply the division lemma to 720 and 468, to get
720 = 468 x 1 + 252
Step 2: Since the reminder 468 ≠ 0, we apply division lemma to 252 and 468, to get
468 = 252 x 1 + 216
Step 3: We consider the new divisor 252 and the new remainder 216, and apply the division lemma to get
252 = 216 x 1 + 36
We consider the new divisor 216 and the new remainder 36, and apply the division lemma to get
216 = 36 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 36, the HCF of 720 and 468 is 36
Notice that 36 = HCF(216,36) = HCF(252,216) = HCF(468,252) = HCF(720,468) .
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Frequently Asked Questions on HCF of 720, 468 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 720, 468?
Answer: HCF of 720, 468 is 36 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 720, 468 using Euclid's Algorithm?
Answer: For arbitrary numbers 720, 468 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
