Highest Common Factor of 456, 805, 837 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 456, 805, 837 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 456, 805, 837 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 456, 805, 837 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 456, 805, 837 is 1.

HCF(456, 805, 837) = 1

HCF of 456, 805, 837 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 456, 805, 837 is 1.

Highest Common Factor of 456,805,837 using Euclid's algorithm

Highest Common Factor of 456,805,837 is 1

Step 1: Since 805 > 456, we apply the division lemma to 805 and 456, to get

805 = 456 x 1 + 349

Step 2: Since the reminder 456 ≠ 0, we apply division lemma to 349 and 456, to get

456 = 349 x 1 + 107

Step 3: We consider the new divisor 349 and the new remainder 107, and apply the division lemma to get

349 = 107 x 3 + 28

We consider the new divisor 107 and the new remainder 28,and apply the division lemma to get

107 = 28 x 3 + 23

We consider the new divisor 28 and the new remainder 23,and apply the division lemma to get

28 = 23 x 1 + 5

We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get

23 = 5 x 4 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 456 and 805 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(28,23) = HCF(107,28) = HCF(349,107) = HCF(456,349) = HCF(805,456) .

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

Step 1: Since 837 > 1, we apply the division lemma to 837 and 1, to get

837 = 1 x 837 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 837 is 1

Notice that 1 = HCF(837,1) .

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Frequently Asked Questions on HCF of 456, 805, 837 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 456, 805, 837?

Answer: HCF of 456, 805, 837 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 456, 805, 837 using Euclid's Algorithm?

Answer: For arbitrary numbers 456, 805, 837 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.