Highest Common Factor of 154, 401, 291 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 154, 401, 291 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 154, 401, 291 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 154, 401, 291 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 154, 401, 291 is 1.

HCF(154, 401, 291) = 1

HCF of 154, 401, 291 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 154, 401, 291 is 1.

Highest Common Factor of 154,401,291 using Euclid's algorithm

Highest Common Factor of 154,401,291 is 1

Step 1: Since 401 > 154, we apply the division lemma to 401 and 154, to get

401 = 154 x 2 + 93

Step 2: Since the reminder 154 ≠ 0, we apply division lemma to 93 and 154, to get

154 = 93 x 1 + 61

Step 3: We consider the new divisor 93 and the new remainder 61, and apply the division lemma to get

93 = 61 x 1 + 32

We consider the new divisor 61 and the new remainder 32,and apply the division lemma to get

61 = 32 x 1 + 29

We consider the new divisor 32 and the new remainder 29,and apply the division lemma to get

32 = 29 x 1 + 3

We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get

29 = 3 x 9 + 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 154 and 401 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(32,29) = HCF(61,32) = HCF(93,61) = HCF(154,93) = HCF(401,154) .

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

Step 1: Since 291 > 1, we apply the division lemma to 291 and 1, to get

291 = 1 x 291 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 291 is 1

Notice that 1 = HCF(291,1) .

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Frequently Asked Questions on HCF of 154, 401, 291 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 154, 401, 291?

Answer: HCF of 154, 401, 291 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 154, 401, 291 using Euclid's Algorithm?

Answer: For arbitrary numbers 154, 401, 291 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.