Highest Common Factor of 818, 506, 684 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 818, 506, 684 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 818, 506, 684 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 818, 506, 684 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 818, 506, 684 is 2.
HCF(818, 506, 684) = 2
HCF of 818, 506, 684 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 818, 506, 684 is 2.
Highest Common Factor of 818,506,684 is 2
Step 1: Since 818 > 506, we apply the division lemma to 818 and 506, to get
818 = 506 x 1 + 312
Step 2: Since the reminder 506 ≠ 0, we apply division lemma to 312 and 506, to get
506 = 312 x 1 + 194
Step 3: We consider the new divisor 312 and the new remainder 194, and apply the division lemma to get
312 = 194 x 1 + 118
We consider the new divisor 194 and the new remainder 118,and apply the division lemma to get
194 = 118 x 1 + 76
We consider the new divisor 118 and the new remainder 76,and apply the division lemma to get
118 = 76 x 1 + 42
We consider the new divisor 76 and the new remainder 42,and apply the division lemma to get
76 = 42 x 1 + 34
We consider the new divisor 42 and the new remainder 34,and apply the division lemma to get
42 = 34 x 1 + 8
We consider the new divisor 34 and the new remainder 8,and apply the division lemma to get
34 = 8 x 4 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 818 and 506 is 2
Notice that 2 = HCF(8,2) = HCF(34,8) = HCF(42,34) = HCF(76,42) = HCF(118,76) = HCF(194,118) = HCF(312,194) = HCF(506,312) = HCF(818,506) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 684 > 2, we apply the division lemma to 684 and 2, to get
684 = 2 x 342 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 684 is 2
Notice that 2 = HCF(684,2) .
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Frequently Asked Questions on HCF of 818, 506, 684 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 818, 506, 684?
Answer: HCF of 818, 506, 684 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 818, 506, 684 using Euclid's Algorithm?
Answer: For arbitrary numbers 818, 506, 684 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.