Highest Common Factor of 496, 786, 855, 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 496, 786, 855, 167 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 496, 786, 855, 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 496, 786, 855, 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 496, 786, 855, 167 is 1.

HCF(496, 786, 855, 167) = 1

HCF of 496, 786, 855, 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 496, 786, 855, 167 is 1.

Highest Common Factor of 496,786,855,167 using Euclid's algorithm

Highest Common Factor of 496,786,855,167 is 1

Step 1: Since 786 > 496, we apply the division lemma to 786 and 496, to get

786 = 496 x 1 + 290

Step 2: Since the reminder 496 ≠ 0, we apply division lemma to 290 and 496, to get

496 = 290 x 1 + 206

Step 3: We consider the new divisor 290 and the new remainder 206, and apply the division lemma to get

290 = 206 x 1 + 84

We consider the new divisor 206 and the new remainder 84,and apply the division lemma to get

206 = 84 x 2 + 38

We consider the new divisor 84 and the new remainder 38,and apply the division lemma to get

84 = 38 x 2 + 8

We consider the new divisor 38 and the new remainder 8,and apply the division lemma to get

38 = 8 x 4 + 6

We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get

8 = 6 x 1 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 496 and 786 is 2

Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(38,8) = HCF(84,38) = HCF(206,84) = HCF(290,206) = HCF(496,290) = HCF(786,496) .

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

Step 1: Since 855 > 2, we apply the division lemma to 855 and 2, to get

855 = 2 x 427 + 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 855 is 1

Notice that 1 = HCF(2,1) = HCF(855,2) .

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 496, 786, 855, 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 496, 786, 855, 167?

Answer: HCF of 496, 786, 855, 167 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 496, 786, 855, 167 using Euclid's Algorithm?

Answer: For arbitrary numbers 496, 786, 855, 167 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.