Highest Common Factor of 836, 611, 129 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 836, 611, 129 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 836, 611, 129 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 836, 611, 129 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 836, 611, 129 is 1.

HCF(836, 611, 129) = 1

HCF of 836, 611, 129 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 836, 611, 129 is 1.

Highest Common Factor of 836,611,129 using Euclid's algorithm

Highest Common Factor of 836,611,129 is 1

Step 1: Since 836 > 611, we apply the division lemma to 836 and 611, to get

836 = 611 x 1 + 225

Step 2: Since the reminder 611 ≠ 0, we apply division lemma to 225 and 611, to get

611 = 225 x 2 + 161

Step 3: We consider the new divisor 225 and the new remainder 161, and apply the division lemma to get

225 = 161 x 1 + 64

We consider the new divisor 161 and the new remainder 64,and apply the division lemma to get

161 = 64 x 2 + 33

We consider the new divisor 64 and the new remainder 33,and apply the division lemma to get

64 = 33 x 1 + 31

We consider the new divisor 33 and the new remainder 31,and apply the division lemma to get

33 = 31 x 1 + 2

We consider the new divisor 31 and the new remainder 2,and apply the division lemma to get

31 = 2 x 15 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 836 and 611 is 1

Notice that 1 = HCF(2,1) = HCF(31,2) = HCF(33,31) = HCF(64,33) = HCF(161,64) = HCF(225,161) = HCF(611,225) = HCF(836,611) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 129 > 1, we apply the division lemma to 129 and 1, to get

129 = 1 x 129 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 129 is 1

Notice that 1 = HCF(129,1) .

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Frequently Asked Questions on HCF of 836, 611, 129 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 836, 611, 129?

Answer: HCF of 836, 611, 129 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 836, 611, 129 using Euclid's Algorithm?

Answer: For arbitrary numbers 836, 611, 129 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.