Highest Common Factor of 534, 407, 132 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 534, 407, 132 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 534, 407, 132 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 534, 407, 132 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 534, 407, 132 is 1.

HCF(534, 407, 132) = 1

HCF of 534, 407, 132 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 534, 407, 132 is 1.

Highest Common Factor of 534,407,132 using Euclid's algorithm

Highest Common Factor of 534,407,132 is 1

Step 1: Since 534 > 407, we apply the division lemma to 534 and 407, to get

534 = 407 x 1 + 127

Step 2: Since the reminder 407 ≠ 0, we apply division lemma to 127 and 407, to get

407 = 127 x 3 + 26

Step 3: We consider the new divisor 127 and the new remainder 26, and apply the division lemma to get

127 = 26 x 4 + 23

We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get

26 = 23 x 1 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 534 and 407 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(127,26) = HCF(407,127) = HCF(534,407) .

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

Step 1: Since 132 > 1, we apply the division lemma to 132 and 1, to get

132 = 1 x 132 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 132 is 1

Notice that 1 = HCF(132,1) .

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Frequently Asked Questions on HCF of 534, 407, 132 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 534, 407, 132?

Answer: HCF of 534, 407, 132 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 534, 407, 132 using Euclid's Algorithm?

Answer: For arbitrary numbers 534, 407, 132 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.