Highest Common Factor of 1162, 3929 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 1162, 3929 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1162, 3929 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 1162, 3929 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 1162, 3929 is 1.

HCF(1162, 3929) = 1

HCF of 1162, 3929 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 1162, 3929 is 1.

Highest Common Factor of 1162,3929 using Euclid's algorithm

Highest Common Factor of 1162,3929 is 1

Step 1: Since 3929 > 1162, we apply the division lemma to 3929 and 1162, to get

3929 = 1162 x 3 + 443

Step 2: Since the reminder 1162 ≠ 0, we apply division lemma to 443 and 1162, to get

1162 = 443 x 2 + 276

Step 3: We consider the new divisor 443 and the new remainder 276, and apply the division lemma to get

443 = 276 x 1 + 167

We consider the new divisor 276 and the new remainder 167,and apply the division lemma to get

276 = 167 x 1 + 109

We consider the new divisor 167 and the new remainder 109,and apply the division lemma to get

167 = 109 x 1 + 58

We consider the new divisor 109 and the new remainder 58,and apply the division lemma to get

109 = 58 x 1 + 51

We consider the new divisor 58 and the new remainder 51,and apply the division lemma to get

58 = 51 x 1 + 7

We consider the new divisor 51 and the new remainder 7,and apply the division lemma to get

51 = 7 x 7 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 1162 and 3929 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(51,7) = HCF(58,51) = HCF(109,58) = HCF(167,109) = HCF(276,167) = HCF(443,276) = HCF(1162,443) = HCF(3929,1162) .

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Frequently Asked Questions on HCF of 1162, 3929 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 1162, 3929?

Answer: HCF of 1162, 3929 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1162, 3929 using Euclid's Algorithm?

Answer: For arbitrary numbers 1162, 3929 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.