Highest Common Factor of 182, 522 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 182, 522 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 182, 522 is 2 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 182, 522 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 182, 522 is 2.
HCF(182, 522) = 2
HCF of 182, 522 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 182, 522 is 2.
Highest Common Factor of 182,522 is 2
Step 1: Since 522 > 182, we apply the division lemma to 522 and 182, to get
522 = 182 x 2 + 158
Step 2: Since the reminder 182 ≠ 0, we apply division lemma to 158 and 182, to get
182 = 158 x 1 + 24
Step 3: We consider the new divisor 158 and the new remainder 24, and apply the division lemma to get
158 = 24 x 6 + 14
We consider the new divisor 24 and the new remainder 14,and apply the division lemma to get
24 = 14 x 1 + 10
We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get
14 = 10 x 1 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 182 and 522 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(24,14) = HCF(158,24) = HCF(182,158) = HCF(522,182) .
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Frequently Asked Questions on HCF of 182, 522 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 182, 522?
Answer: HCF of 182, 522 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 182, 522 using Euclid's Algorithm?
Answer: For arbitrary numbers 182, 522 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.