Highest Common Factor of 459, 522, 550 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 459, 522, 550 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 459, 522, 550 is 1 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 459, 522, 550 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 459, 522, 550 is 1.
HCF(459, 522, 550) = 1
HCF of 459, 522, 550 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 459, 522, 550 is 1.
Highest Common Factor of 459,522,550 is 1
Step 1: Since 522 > 459, we apply the division lemma to 522 and 459, to get
522 = 459 x 1 + 63
Step 2: Since the reminder 459 ≠ 0, we apply division lemma to 63 and 459, to get
459 = 63 x 7 + 18
Step 3: We consider the new divisor 63 and the new remainder 18, and apply the division lemma to get
63 = 18 x 3 + 9
We consider the new divisor 18 and the new remainder 9, and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 459 and 522 is 9
Notice that 9 = HCF(18,9) = HCF(63,18) = HCF(459,63) = HCF(522,459) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 550 > 9, we apply the division lemma to 550 and 9, to get
550 = 9 x 61 + 1
Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 1 and 9, to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 550 is 1
Notice that 1 = HCF(9,1) = HCF(550,9) .
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Frequently Asked Questions on HCF of 459, 522, 550 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 459, 522, 550?
Answer: HCF of 459, 522, 550 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 459, 522, 550 using Euclid's Algorithm?
Answer: For arbitrary numbers 459, 522, 550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.