Highest Common Factor of 526, 870, 218 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 526, 870, 218 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 526, 870, 218 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 526, 870, 218 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 526, 870, 218 is 2.
HCF(526, 870, 218) = 2
HCF of 526, 870, 218 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 526, 870, 218 is 2.
Highest Common Factor of 526,870,218 is 2
Step 1: Since 870 > 526, we apply the division lemma to 870 and 526, to get
870 = 526 x 1 + 344
Step 2: Since the reminder 526 ≠ 0, we apply division lemma to 344 and 526, to get
526 = 344 x 1 + 182
Step 3: We consider the new divisor 344 and the new remainder 182, and apply the division lemma to get
344 = 182 x 1 + 162
We consider the new divisor 182 and the new remainder 162,and apply the division lemma to get
182 = 162 x 1 + 20
We consider the new divisor 162 and the new remainder 20,and apply the division lemma to get
162 = 20 x 8 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 526 and 870 is 2
Notice that 2 = HCF(20,2) = HCF(162,20) = HCF(182,162) = HCF(344,182) = HCF(526,344) = HCF(870,526) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 218 > 2, we apply the division lemma to 218 and 2, to get
218 = 2 x 109 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 218 is 2
Notice that 2 = HCF(218,2) .
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Frequently Asked Questions on HCF of 526, 870, 218 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 526, 870, 218?
Answer: HCF of 526, 870, 218 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 526, 870, 218 using Euclid's Algorithm?
Answer: For arbitrary numbers 526, 870, 218 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.