Highest Common Factor of 522, 977, 464, 15 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 522, 977, 464, 15 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 522, 977, 464, 15 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 522, 977, 464, 15 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 522, 977, 464, 15 is 1.
HCF(522, 977, 464, 15) = 1
HCF of 522, 977, 464, 15 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 522, 977, 464, 15 is 1.
Highest Common Factor of 522,977,464,15 is 1
Step 1: Since 977 > 522, we apply the division lemma to 977 and 522, to get
977 = 522 x 1 + 455
Step 2: Since the reminder 522 ≠ 0, we apply division lemma to 455 and 522, to get
522 = 455 x 1 + 67
Step 3: We consider the new divisor 455 and the new remainder 67, and apply the division lemma to get
455 = 67 x 6 + 53
We consider the new divisor 67 and the new remainder 53,and apply the division lemma to get
67 = 53 x 1 + 14
We consider the new divisor 53 and the new remainder 14,and apply the division lemma to get
53 = 14 x 3 + 11
We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get
14 = 11 x 1 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 522 and 977 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(53,14) = HCF(67,53) = HCF(455,67) = HCF(522,455) = HCF(977,522) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 464 > 1, we apply the division lemma to 464 and 1, to get
464 = 1 x 464 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 464 is 1
Notice that 1 = HCF(464,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 15 > 1, we apply the division lemma to 15 and 1, to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15 is 1
Notice that 1 = HCF(15,1) .
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Frequently Asked Questions on HCF of 522, 977, 464, 15 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 522, 977, 464, 15?
Answer: HCF of 522, 977, 464, 15 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 522, 977, 464, 15 using Euclid's Algorithm?
Answer: For arbitrary numbers 522, 977, 464, 15 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.