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 520, 806, 999, 166 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 520, 806, 999, 166 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 520, 806, 999, 166 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 520, 806, 999, 166 is 1.
HCF(520, 806, 999, 166) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 520, 806, 999, 166 is 1.
Step 1: Since 806 > 520, we apply the division lemma to 806 and 520, to get
806 = 520 x 1 + 286
Step 2: Since the reminder 520 ≠ 0, we apply division lemma to 286 and 520, to get
520 = 286 x 1 + 234
Step 3: We consider the new divisor 286 and the new remainder 234, and apply the division lemma to get
286 = 234 x 1 + 52
We consider the new divisor 234 and the new remainder 52,and apply the division lemma to get
234 = 52 x 4 + 26
We consider the new divisor 52 and the new remainder 26,and apply the division lemma to get
52 = 26 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 520 and 806 is 26
Notice that 26 = HCF(52,26) = HCF(234,52) = HCF(286,234) = HCF(520,286) = HCF(806,520) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 999 > 26, we apply the division lemma to 999 and 26, to get
999 = 26 x 38 + 11
Step 2: Since the reminder 26 ≠ 0, we apply division lemma to 11 and 26, to get
26 = 11 x 2 + 4
Step 3: We consider the new divisor 11 and the new remainder 4, and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 26 and 999 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(26,11) = HCF(999,26) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 166 > 1, we apply the division lemma to 166 and 1, to get
166 = 1 x 166 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 166 is 1
Notice that 1 = HCF(166,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 520, 806, 999, 166?
Answer: HCF of 520, 806, 999, 166 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 520, 806, 999, 166 using Euclid's Algorithm?
Answer: For arbitrary numbers 520, 806, 999, 166 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.