Highest Common Factor of 877, 814, 356, 806 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 877, 814, 356, 806 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 877, 814, 356, 806 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 877, 814, 356, 806 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 877, 814, 356, 806 is 1.

HCF(877, 814, 356, 806) = 1

HCF of 877, 814, 356, 806 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 877, 814, 356, 806 is 1.

Highest Common Factor of 877,814,356,806 using Euclid's algorithm

Highest Common Factor of 877,814,356,806 is 1

Step 1: Since 877 > 814, we apply the division lemma to 877 and 814, to get

877 = 814 x 1 + 63

Step 2: Since the reminder 814 ≠ 0, we apply division lemma to 63 and 814, to get

814 = 63 x 12 + 58

Step 3: We consider the new divisor 63 and the new remainder 58, and apply the division lemma to get

63 = 58 x 1 + 5

We consider the new divisor 58 and the new remainder 5,and apply the division lemma to get

58 = 5 x 11 + 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 877 and 814 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(58,5) = HCF(63,58) = HCF(814,63) = HCF(877,814) .

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

Step 1: Since 356 > 1, we apply the division lemma to 356 and 1, to get

356 = 1 x 356 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 356 is 1

Notice that 1 = HCF(356,1) .

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

Step 1: Since 806 > 1, we apply the division lemma to 806 and 1, to get

806 = 1 x 806 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 806 is 1

Notice that 1 = HCF(806,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 877, 814, 356, 806 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 877, 814, 356, 806?

Answer: HCF of 877, 814, 356, 806 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 877, 814, 356, 806 using Euclid's Algorithm?

Answer: For arbitrary numbers 877, 814, 356, 806 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.