Highest Common Factor of 153, 524, 824, 180 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 153, 524, 824, 180 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 153, 524, 824, 180 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 153, 524, 824, 180 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 153, 524, 824, 180 is 1.

HCF(153, 524, 824, 180) = 1

HCF of 153, 524, 824, 180 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 153, 524, 824, 180 is 1.

Highest Common Factor of 153,524,824,180 using Euclid's algorithm

Highest Common Factor of 153,524,824,180 is 1

Step 1: Since 524 > 153, we apply the division lemma to 524 and 153, to get

524 = 153 x 3 + 65

Step 2: Since the reminder 153 ≠ 0, we apply division lemma to 65 and 153, to get

153 = 65 x 2 + 23

Step 3: We consider the new divisor 65 and the new remainder 23, and apply the division lemma to get

65 = 23 x 2 + 19

We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get

23 = 19 x 1 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 153 and 524 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(65,23) = HCF(153,65) = HCF(524,153) .

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

Step 1: Since 824 > 1, we apply the division lemma to 824 and 1, to get

824 = 1 x 824 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 824 is 1

Notice that 1 = HCF(824,1) .

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

Step 1: Since 180 > 1, we apply the division lemma to 180 and 1, to get

180 = 1 x 180 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 180 is 1

Notice that 1 = HCF(180,1) .

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Frequently Asked Questions on HCF of 153, 524, 824, 180 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 153, 524, 824, 180?

Answer: HCF of 153, 524, 824, 180 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 153, 524, 824, 180 using Euclid's Algorithm?

Answer: For arbitrary numbers 153, 524, 824, 180 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.