Highest Common Factor of 153, 918, 23 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, 918, 23 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 153, 918, 23 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, 918, 23 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, 918, 23 is 1.

HCF(153, 918, 23) = 1

HCF of 153, 918, 23 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, 918, 23 is 1.

Highest Common Factor of 153,918,23 using Euclid's algorithm

Highest Common Factor of 153,918,23 is 1

Step 1: Since 918 > 153, we apply the division lemma to 918 and 153, to get

918 = 153 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 153, the HCF of 153 and 918 is 153

Notice that 153 = HCF(918,153) .


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

Step 1: Since 153 > 23, we apply the division lemma to 153 and 23, to get

153 = 23 x 6 + 15

Step 2: Since the reminder 23 ≠ 0, we apply division lemma to 15 and 23, to get

23 = 15 x 1 + 8

Step 3: We consider the new divisor 15 and the new remainder 8, and apply the division lemma to get

15 = 8 x 1 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 153 and 23 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(23,15) = HCF(153,23) .

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Frequently Asked Questions on HCF of 153, 918, 23 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, 918, 23?

Answer: HCF of 153, 918, 23 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 153, 918, 23 using Euclid's Algorithm?

Answer: For arbitrary numbers 153, 918, 23 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.