Highest Common Factor of 694, 363, 63 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, 363, 63 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 694, 363, 63 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, 363, 63 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, 363, 63 is 1.

HCF(694, 363, 63) = 1

HCF of 694, 363, 63 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, 363, 63 is 1.

Highest Common Factor of 694,363,63 using Euclid's algorithm

Highest Common Factor of 694,363,63 is 1

Step 1: Since 694 > 363, we apply the division lemma to 694 and 363, to get

694 = 363 x 1 + 331

Step 2: Since the reminder 363 ≠ 0, we apply division lemma to 331 and 363, to get

363 = 331 x 1 + 32

Step 3: We consider the new divisor 331 and the new remainder 32, and apply the division lemma to get

331 = 32 x 10 + 11

We consider the new divisor 32 and the new remainder 11,and apply the division lemma to get

32 = 11 x 2 + 10

We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get

11 = 10 x 1 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 694 and 363 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(32,11) = HCF(331,32) = HCF(363,331) = HCF(694,363) .

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

Step 1: Since 63 > 1, we apply the division lemma to 63 and 1, to get

63 = 1 x 63 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63 is 1

Notice that 1 = HCF(63,1) .

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, 363, 63 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, 363, 63?

Answer: HCF of 694, 363, 63 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 694, 363, 63 using Euclid's Algorithm?

Answer: For arbitrary numbers 694, 363, 63 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.