Highest Common Factor of 522, 899, 184 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, 899, 184 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 522, 899, 184 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, 899, 184 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, 899, 184 is 1.
HCF(522, 899, 184) = 1
HCF of 522, 899, 184 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, 899, 184 is 1.
Highest Common Factor of 522,899,184 is 1
Step 1: Since 899 > 522, we apply the division lemma to 899 and 522, to get
899 = 522 x 1 + 377
Step 2: Since the reminder 522 ≠ 0, we apply division lemma to 377 and 522, to get
522 = 377 x 1 + 145
Step 3: We consider the new divisor 377 and the new remainder 145, and apply the division lemma to get
377 = 145 x 2 + 87
We consider the new divisor 145 and the new remainder 87,and apply the division lemma to get
145 = 87 x 1 + 58
We consider the new divisor 87 and the new remainder 58,and apply the division lemma to get
87 = 58 x 1 + 29
We consider the new divisor 58 and the new remainder 29,and apply the division lemma to get
58 = 29 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 522 and 899 is 29
Notice that 29 = HCF(58,29) = HCF(87,58) = HCF(145,87) = HCF(377,145) = HCF(522,377) = HCF(899,522) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 184 > 29, we apply the division lemma to 184 and 29, to get
184 = 29 x 6 + 10
Step 2: Since the reminder 29 ≠ 0, we apply division lemma to 10 and 29, to get
29 = 10 x 2 + 9
Step 3: We consider the new divisor 10 and the new remainder 9, and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1, and apply the division lemma 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 29 and 184 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(29,10) = HCF(184,29) .
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Frequently Asked Questions on HCF of 522, 899, 184 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, 899, 184?
Answer: HCF of 522, 899, 184 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 522, 899, 184 using Euclid's Algorithm?
Answer: For arbitrary numbers 522, 899, 184 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.