Highest Common Factor of 810, 377, 737 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 810, 377, 737 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 810, 377, 737 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 810, 377, 737 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 810, 377, 737 is 1.

HCF(810, 377, 737) = 1

HCF of 810, 377, 737 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 810, 377, 737 is 1.

Highest Common Factor of 810,377,737 using Euclid's algorithm

Highest Common Factor of 810,377,737 is 1

Step 1: Since 810 > 377, we apply the division lemma to 810 and 377, to get

810 = 377 x 2 + 56

Step 2: Since the reminder 377 ≠ 0, we apply division lemma to 56 and 377, to get

377 = 56 x 6 + 41

Step 3: We consider the new divisor 56 and the new remainder 41, and apply the division lemma to get

56 = 41 x 1 + 15

We consider the new divisor 41 and the new remainder 15,and apply the division lemma to get

41 = 15 x 2 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 810 and 377 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(41,15) = HCF(56,41) = HCF(377,56) = HCF(810,377) .

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

Step 1: Since 737 > 1, we apply the division lemma to 737 and 1, to get

737 = 1 x 737 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 737 is 1

Notice that 1 = HCF(737,1) .

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Frequently Asked Questions on HCF of 810, 377, 737 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 810, 377, 737?

Answer: HCF of 810, 377, 737 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 810, 377, 737 using Euclid's Algorithm?

Answer: For arbitrary numbers 810, 377, 737 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.