Highest Common Factor of 891, 769, 83 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, 769, 83 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 891, 769, 83 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, 769, 83 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, 769, 83 is 1.

HCF(891, 769, 83) = 1

HCF of 891, 769, 83 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, 769, 83 is 1.

Highest Common Factor of 891,769,83 using Euclid's algorithm

Highest Common Factor of 891,769,83 is 1

Step 1: Since 891 > 769, we apply the division lemma to 891 and 769, to get

891 = 769 x 1 + 122

Step 2: Since the reminder 769 ≠ 0, we apply division lemma to 122 and 769, to get

769 = 122 x 6 + 37

Step 3: We consider the new divisor 122 and the new remainder 37, and apply the division lemma to get

122 = 37 x 3 + 11

We consider the new divisor 37 and the new remainder 11,and apply the division lemma to get

37 = 11 x 3 + 4

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 891 and 769 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(37,11) = HCF(122,37) = HCF(769,122) = HCF(891,769) .

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

Step 1: Since 83 > 1, we apply the division lemma to 83 and 1, to get

83 = 1 x 83 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83 is 1

Notice that 1 = HCF(83,1) .

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Frequently Asked Questions on HCF of 891, 769, 83 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, 769, 83?

Answer: HCF of 891, 769, 83 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 891, 769, 83 using Euclid's Algorithm?

Answer: For arbitrary numbers 891, 769, 83 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.