Highest Common Factor of 276, 430, 369 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 276, 430, 369 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 276, 430, 369 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 276, 430, 369 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 276, 430, 369 is 1.

HCF(276, 430, 369) = 1

HCF of 276, 430, 369 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 276, 430, 369 is 1.

Highest Common Factor of 276,430,369 using Euclid's algorithm

Highest Common Factor of 276,430,369 is 1

Step 1: Since 430 > 276, we apply the division lemma to 430 and 276, to get

430 = 276 x 1 + 154

Step 2: Since the reminder 276 ≠ 0, we apply division lemma to 154 and 276, to get

276 = 154 x 1 + 122

Step 3: We consider the new divisor 154 and the new remainder 122, and apply the division lemma to get

154 = 122 x 1 + 32

We consider the new divisor 122 and the new remainder 32,and apply the division lemma to get

122 = 32 x 3 + 26

We consider the new divisor 32 and the new remainder 26,and apply the division lemma to get

32 = 26 x 1 + 6

We consider the new divisor 26 and the new remainder 6,and apply the division lemma to get

26 = 6 x 4 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 276 and 430 is 2

Notice that 2 = HCF(6,2) = HCF(26,6) = HCF(32,26) = HCF(122,32) = HCF(154,122) = HCF(276,154) = HCF(430,276) .

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

Step 1: Since 369 > 2, we apply the division lemma to 369 and 2, to get

369 = 2 x 184 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 369 is 1

Notice that 1 = HCF(2,1) = HCF(369,2) .

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Frequently Asked Questions on HCF of 276, 430, 369 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 276, 430, 369?

Answer: HCF of 276, 430, 369 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 276, 430, 369 using Euclid's Algorithm?

Answer: For arbitrary numbers 276, 430, 369 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.