Highest Common Factor of 666, 836, 329 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 666, 836, 329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 666, 836, 329 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 666, 836, 329 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 666, 836, 329 is 1.
HCF(666, 836, 329) = 1
HCF of 666, 836, 329 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 666, 836, 329 is 1.
Highest Common Factor of 666,836,329 is 1
Step 1: Since 836 > 666, we apply the division lemma to 836 and 666, to get
836 = 666 x 1 + 170
Step 2: Since the reminder 666 ≠ 0, we apply division lemma to 170 and 666, to get
666 = 170 x 3 + 156
Step 3: We consider the new divisor 170 and the new remainder 156, and apply the division lemma to get
170 = 156 x 1 + 14
We consider the new divisor 156 and the new remainder 14,and apply the division lemma to get
156 = 14 x 11 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma 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 666 and 836 is 2
Notice that 2 = HCF(14,2) = HCF(156,14) = HCF(170,156) = HCF(666,170) = HCF(836,666) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 329 > 2, we apply the division lemma to 329 and 2, to get
329 = 2 x 164 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 329 is 1
Notice that 1 = HCF(2,1) = HCF(329,2) .
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Frequently Asked Questions on HCF of 666, 836, 329 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 666, 836, 329?
Answer: HCF of 666, 836, 329 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 666, 836, 329 using Euclid's Algorithm?
Answer: For arbitrary numbers 666, 836, 329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.