Highest Common Factor of 518, 336, 210, 814 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 518, 336, 210, 814 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 518, 336, 210, 814 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 518, 336, 210, 814 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 518, 336, 210, 814 is 2.
HCF(518, 336, 210, 814) = 2
HCF of 518, 336, 210, 814 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 518, 336, 210, 814 is 2.
Highest Common Factor of 518,336,210,814 is 2
Step 1: Since 518 > 336, we apply the division lemma to 518 and 336, to get
518 = 336 x 1 + 182
Step 2: Since the reminder 336 ≠ 0, we apply division lemma to 182 and 336, to get
336 = 182 x 1 + 154
Step 3: We consider the new divisor 182 and the new remainder 154, and apply the division lemma to get
182 = 154 x 1 + 28
We consider the new divisor 154 and the new remainder 28,and apply the division lemma to get
154 = 28 x 5 + 14
We consider the new divisor 28 and the new remainder 14,and apply the division lemma to get
28 = 14 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 518 and 336 is 14
Notice that 14 = HCF(28,14) = HCF(154,28) = HCF(182,154) = HCF(336,182) = HCF(518,336) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 210 > 14, we apply the division lemma to 210 and 14, to get
210 = 14 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 14 and 210 is 14
Notice that 14 = HCF(210,14) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 814 > 14, we apply the division lemma to 814 and 14, to get
814 = 14 x 58 + 2
Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 2 and 14, to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 14 and 814 is 2
Notice that 2 = HCF(14,2) = HCF(814,14) .
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Frequently Asked Questions on HCF of 518, 336, 210, 814 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 518, 336, 210, 814?
Answer: HCF of 518, 336, 210, 814 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 518, 336, 210, 814 using Euclid's Algorithm?
Answer: For arbitrary numbers 518, 336, 210, 814 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.