Highest Common Factor of 1134, 3929, 83454 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 1134, 3929, 83454 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1134, 3929, 83454 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 1134, 3929, 83454 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 1134, 3929, 83454 is 1.

HCF(1134, 3929, 83454) = 1

HCF of 1134, 3929, 83454 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 1134, 3929, 83454 is 1.

Highest Common Factor of 1134,3929,83454 using Euclid's algorithm

Highest Common Factor of 1134,3929,83454 is 1

Step 1: Since 3929 > 1134, we apply the division lemma to 3929 and 1134, to get

3929 = 1134 x 3 + 527

Step 2: Since the reminder 1134 ≠ 0, we apply division lemma to 527 and 1134, to get

1134 = 527 x 2 + 80

Step 3: We consider the new divisor 527 and the new remainder 80, and apply the division lemma to get

527 = 80 x 6 + 47

We consider the new divisor 80 and the new remainder 47,and apply the division lemma to get

80 = 47 x 1 + 33

We consider the new divisor 47 and the new remainder 33,and apply the division lemma to get

47 = 33 x 1 + 14

We consider the new divisor 33 and the new remainder 14,and apply the division lemma to get

33 = 14 x 2 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1134 and 3929 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(33,14) = HCF(47,33) = HCF(80,47) = HCF(527,80) = HCF(1134,527) = HCF(3929,1134) .

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

Step 1: Since 83454 > 1, we apply the division lemma to 83454 and 1, to get

83454 = 1 x 83454 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83454 is 1

Notice that 1 = HCF(83454,1) .

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Frequently Asked Questions on HCF of 1134, 3929, 83454 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 1134, 3929, 83454?

Answer: HCF of 1134, 3929, 83454 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1134, 3929, 83454 using Euclid's Algorithm?

Answer: For arbitrary numbers 1134, 3929, 83454 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.