Highest Common Factor of 868, 533, 167 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 868, 533, 167 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 868, 533, 167 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 868, 533, 167 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 868, 533, 167 is 1.

HCF(868, 533, 167) = 1

HCF of 868, 533, 167 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 868, 533, 167 is 1.

Highest Common Factor of 868,533,167 using Euclid's algorithm

Highest Common Factor of 868,533,167 is 1

Step 1: Since 868 > 533, we apply the division lemma to 868 and 533, to get

868 = 533 x 1 + 335

Step 2: Since the reminder 533 ≠ 0, we apply division lemma to 335 and 533, to get

533 = 335 x 1 + 198

Step 3: We consider the new divisor 335 and the new remainder 198, and apply the division lemma to get

335 = 198 x 1 + 137

We consider the new divisor 198 and the new remainder 137,and apply the division lemma to get

198 = 137 x 1 + 61

We consider the new divisor 137 and the new remainder 61,and apply the division lemma to get

137 = 61 x 2 + 15

We consider the new divisor 61 and the new remainder 15,and apply the division lemma to get

61 = 15 x 4 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 868 and 533 is 1

Notice that 1 = HCF(15,1) = HCF(61,15) = HCF(137,61) = HCF(198,137) = HCF(335,198) = HCF(533,335) = HCF(868,533) .

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

Step 1: Since 167 > 1, we apply the division lemma to 167 and 1, to get

167 = 1 x 167 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 167 is 1

Notice that 1 = HCF(167,1) .

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Frequently Asked Questions on HCF of 868, 533, 167 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 868, 533, 167?

Answer: HCF of 868, 533, 167 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 868, 533, 167 using Euclid's Algorithm?

Answer: For arbitrary numbers 868, 533, 167 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.