Highest Common Factor of 167, 714, 651 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 167, 714, 651 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 167, 714, 651 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 167, 714, 651 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 167, 714, 651 is 1.

HCF(167, 714, 651) = 1

HCF of 167, 714, 651 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 167, 714, 651 is 1.

Highest Common Factor of 167,714,651 using Euclid's algorithm

Highest Common Factor of 167,714,651 is 1

Step 1: Since 714 > 167, we apply the division lemma to 714 and 167, to get

714 = 167 x 4 + 46

Step 2: Since the reminder 167 ≠ 0, we apply division lemma to 46 and 167, to get

167 = 46 x 3 + 29

Step 3: We consider the new divisor 46 and the new remainder 29, and apply the division lemma to get

46 = 29 x 1 + 17

We consider the new divisor 29 and the new remainder 17,and apply the division lemma to get

29 = 17 x 1 + 12

We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get

17 = 12 x 1 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 167 and 714 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(29,17) = HCF(46,29) = HCF(167,46) = HCF(714,167) .

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

Step 1: Since 651 > 1, we apply the division lemma to 651 and 1, to get

651 = 1 x 651 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 651 is 1

Notice that 1 = HCF(651,1) .

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Frequently Asked Questions on HCF of 167, 714, 651 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 167, 714, 651?

Answer: HCF of 167, 714, 651 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 167, 714, 651 using Euclid's Algorithm?

Answer: For arbitrary numbers 167, 714, 651 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.