Highest Common Factor of 893, 311, 437, 79 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 893, 311, 437, 79 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 893, 311, 437, 79 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 893, 311, 437, 79 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 893, 311, 437, 79 is 1.

HCF(893, 311, 437, 79) = 1

HCF of 893, 311, 437, 79 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 893, 311, 437, 79 is 1.

Highest Common Factor of 893,311,437,79 using Euclid's algorithm

Highest Common Factor of 893,311,437,79 is 1

Step 1: Since 893 > 311, we apply the division lemma to 893 and 311, to get

893 = 311 x 2 + 271

Step 2: Since the reminder 311 ≠ 0, we apply division lemma to 271 and 311, to get

311 = 271 x 1 + 40

Step 3: We consider the new divisor 271 and the new remainder 40, and apply the division lemma to get

271 = 40 x 6 + 31

We consider the new divisor 40 and the new remainder 31,and apply the division lemma to get

40 = 31 x 1 + 9

We consider the new divisor 31 and the new remainder 9,and apply the division lemma to get

31 = 9 x 3 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 893 and 311 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(31,9) = HCF(40,31) = HCF(271,40) = HCF(311,271) = HCF(893,311) .

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

Step 1: Since 437 > 1, we apply the division lemma to 437 and 1, to get

437 = 1 x 437 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 437 is 1

Notice that 1 = HCF(437,1) .

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

Step 1: Since 79 > 1, we apply the division lemma to 79 and 1, to get

79 = 1 x 79 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 79 is 1

Notice that 1 = HCF(79,1) .

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Frequently Asked Questions on HCF of 893, 311, 437, 79 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 893, 311, 437, 79?

Answer: HCF of 893, 311, 437, 79 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 893, 311, 437, 79 using Euclid's Algorithm?

Answer: For arbitrary numbers 893, 311, 437, 79 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.