Highest Common Factor of 694, 899, 843 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 694, 899, 843 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 694, 899, 843 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 694, 899, 843 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 694, 899, 843 is 1.

HCF(694, 899, 843) = 1

HCF of 694, 899, 843 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 694, 899, 843 is 1.

Highest Common Factor of 694,899,843 using Euclid's algorithm

Highest Common Factor of 694,899,843 is 1

Step 1: Since 899 > 694, we apply the division lemma to 899 and 694, to get

899 = 694 x 1 + 205

Step 2: Since the reminder 694 ≠ 0, we apply division lemma to 205 and 694, to get

694 = 205 x 3 + 79

Step 3: We consider the new divisor 205 and the new remainder 79, and apply the division lemma to get

205 = 79 x 2 + 47

We consider the new divisor 79 and the new remainder 47,and apply the division lemma to get

79 = 47 x 1 + 32

We consider the new divisor 47 and the new remainder 32,and apply the division lemma to get

47 = 32 x 1 + 15

We consider the new divisor 32 and the new remainder 15,and apply the division lemma to get

32 = 15 x 2 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 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 694 and 899 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(32,15) = HCF(47,32) = HCF(79,47) = HCF(205,79) = HCF(694,205) = HCF(899,694) .

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

Step 1: Since 843 > 1, we apply the division lemma to 843 and 1, to get

843 = 1 x 843 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 843 is 1

Notice that 1 = HCF(843,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 694, 899, 843 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 694, 899, 843?

Answer: HCF of 694, 899, 843 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 694, 899, 843 using Euclid's Algorithm?

Answer: For arbitrary numbers 694, 899, 843 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.