Highest Common Factor of 891, 314, 836 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 891, 314, 836 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 891, 314, 836 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 891, 314, 836 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 891, 314, 836 is 1.

HCF(891, 314, 836) = 1

HCF of 891, 314, 836 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 891, 314, 836 is 1.

Highest Common Factor of 891,314,836 using Euclid's algorithm

Highest Common Factor of 891,314,836 is 1

Step 1: Since 891 > 314, we apply the division lemma to 891 and 314, to get

891 = 314 x 2 + 263

Step 2: Since the reminder 314 ≠ 0, we apply division lemma to 263 and 314, to get

314 = 263 x 1 + 51

Step 3: We consider the new divisor 263 and the new remainder 51, and apply the division lemma to get

263 = 51 x 5 + 8

We consider the new divisor 51 and the new remainder 8,and apply the division lemma to get

51 = 8 x 6 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 891 and 314 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(51,8) = HCF(263,51) = HCF(314,263) = HCF(891,314) .

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

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

836 = 1 x 836 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 836 is 1

Notice that 1 = HCF(836,1) .

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Frequently Asked Questions on HCF of 891, 314, 836 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 891, 314, 836?

Answer: HCF of 891, 314, 836 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 891, 314, 836 using Euclid's Algorithm?

Answer: For arbitrary numbers 891, 314, 836 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.