Highest Common Factor of 943, 358, 379, 601 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 943, 358, 379, 601 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 943, 358, 379, 601 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 943, 358, 379, 601 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 943, 358, 379, 601 is 1.

HCF(943, 358, 379, 601) = 1

HCF of 943, 358, 379, 601 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 943, 358, 379, 601 is 1.

Highest Common Factor of 943,358,379,601 using Euclid's algorithm

Highest Common Factor of 943,358,379,601 is 1

Step 1: Since 943 > 358, we apply the division lemma to 943 and 358, to get

943 = 358 x 2 + 227

Step 2: Since the reminder 358 ≠ 0, we apply division lemma to 227 and 358, to get

358 = 227 x 1 + 131

Step 3: We consider the new divisor 227 and the new remainder 131, and apply the division lemma to get

227 = 131 x 1 + 96

We consider the new divisor 131 and the new remainder 96,and apply the division lemma to get

131 = 96 x 1 + 35

We consider the new divisor 96 and the new remainder 35,and apply the division lemma to get

96 = 35 x 2 + 26

We consider the new divisor 35 and the new remainder 26,and apply the division lemma to get

35 = 26 x 1 + 9

We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get

26 = 9 x 2 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 943 and 358 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(35,26) = HCF(96,35) = HCF(131,96) = HCF(227,131) = HCF(358,227) = HCF(943,358) .

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

Step 1: Since 379 > 1, we apply the division lemma to 379 and 1, to get

379 = 1 x 379 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 379 is 1

Notice that 1 = HCF(379,1) .

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

Step 1: Since 601 > 1, we apply the division lemma to 601 and 1, to get

601 = 1 x 601 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 601 is 1

Notice that 1 = HCF(601,1) .

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Frequently Asked Questions on HCF of 943, 358, 379, 601 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 943, 358, 379, 601?

Answer: HCF of 943, 358, 379, 601 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 943, 358, 379, 601 using Euclid's Algorithm?

Answer: For arbitrary numbers 943, 358, 379, 601 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.