Highest Common Factor of 176, 986, 933 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 176, 986, 933 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 176, 986, 933 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 176, 986, 933 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 176, 986, 933 is 1.

HCF(176, 986, 933) = 1

HCF of 176, 986, 933 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 176, 986, 933 is 1.

Highest Common Factor of 176,986,933 using Euclid's algorithm

Highest Common Factor of 176,986,933 is 1

Step 1: Since 986 > 176, we apply the division lemma to 986 and 176, to get

986 = 176 x 5 + 106

Step 2: Since the reminder 176 ≠ 0, we apply division lemma to 106 and 176, to get

176 = 106 x 1 + 70

Step 3: We consider the new divisor 106 and the new remainder 70, and apply the division lemma to get

106 = 70 x 1 + 36

We consider the new divisor 70 and the new remainder 36,and apply the division lemma to get

70 = 36 x 1 + 34

We consider the new divisor 36 and the new remainder 34,and apply the division lemma to get

36 = 34 x 1 + 2

We consider the new divisor 34 and the new remainder 2,and apply the division lemma to get

34 = 2 x 17 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 176 and 986 is 2

Notice that 2 = HCF(34,2) = HCF(36,34) = HCF(70,36) = HCF(106,70) = HCF(176,106) = HCF(986,176) .

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

Step 1: Since 933 > 2, we apply the division lemma to 933 and 2, to get

933 = 2 x 466 + 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 933 is 1

Notice that 1 = HCF(2,1) = HCF(933,2) .

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Frequently Asked Questions on HCF of 176, 986, 933 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 176, 986, 933?

Answer: HCF of 176, 986, 933 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 176, 986, 933 using Euclid's Algorithm?

Answer: For arbitrary numbers 176, 986, 933 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.