Highest Common Factor of 529, 984, 694 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 529, 984, 694 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 529, 984, 694 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 529, 984, 694 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 529, 984, 694 is 1.

HCF(529, 984, 694) = 1

HCF of 529, 984, 694 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 529, 984, 694 is 1.

Highest Common Factor of 529,984,694 using Euclid's algorithm

Highest Common Factor of 529,984,694 is 1

Step 1: Since 984 > 529, we apply the division lemma to 984 and 529, to get

984 = 529 x 1 + 455

Step 2: Since the reminder 529 ≠ 0, we apply division lemma to 455 and 529, to get

529 = 455 x 1 + 74

Step 3: We consider the new divisor 455 and the new remainder 74, and apply the division lemma to get

455 = 74 x 6 + 11

We consider the new divisor 74 and the new remainder 11,and apply the division lemma to get

74 = 11 x 6 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 529 and 984 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(74,11) = HCF(455,74) = HCF(529,455) = HCF(984,529) .

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

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

694 = 1 x 694 + 0

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

Notice that 1 = HCF(694,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 529, 984, 694 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 529, 984, 694?

Answer: HCF of 529, 984, 694 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 529, 984, 694 using Euclid's Algorithm?

Answer: For arbitrary numbers 529, 984, 694 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.