Highest Common Factor of 969, 796, 885 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 969, 796, 885 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 969, 796, 885 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 969, 796, 885 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 969, 796, 885 is 1.

HCF(969, 796, 885) = 1

HCF of 969, 796, 885 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 969, 796, 885 is 1.

Highest Common Factor of 969,796,885 using Euclid's algorithm

Highest Common Factor of 969,796,885 is 1

Step 1: Since 969 > 796, we apply the division lemma to 969 and 796, to get

969 = 796 x 1 + 173

Step 2: Since the reminder 796 ≠ 0, we apply division lemma to 173 and 796, to get

796 = 173 x 4 + 104

Step 3: We consider the new divisor 173 and the new remainder 104, and apply the division lemma to get

173 = 104 x 1 + 69

We consider the new divisor 104 and the new remainder 69,and apply the division lemma to get

104 = 69 x 1 + 35

We consider the new divisor 69 and the new remainder 35,and apply the division lemma to get

69 = 35 x 1 + 34

We consider the new divisor 35 and the new remainder 34,and apply the division lemma to get

35 = 34 x 1 + 1

We consider the new divisor 34 and the new remainder 1,and apply the division lemma to get

34 = 1 x 34 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 969 and 796 is 1

Notice that 1 = HCF(34,1) = HCF(35,34) = HCF(69,35) = HCF(104,69) = HCF(173,104) = HCF(796,173) = HCF(969,796) .

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

Step 1: Since 885 > 1, we apply the division lemma to 885 and 1, to get

885 = 1 x 885 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 885 is 1

Notice that 1 = HCF(885,1) .

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Frequently Asked Questions on HCF of 969, 796, 885 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 969, 796, 885?

Answer: HCF of 969, 796, 885 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 969, 796, 885 using Euclid's Algorithm?

Answer: For arbitrary numbers 969, 796, 885 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.