Highest Common Factor of 699, 452, 297 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 699, 452, 297 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 699, 452, 297 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 699, 452, 297 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 699, 452, 297 is 1.

HCF(699, 452, 297) = 1

HCF of 699, 452, 297 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 699, 452, 297 is 1.

Highest Common Factor of 699,452,297 using Euclid's algorithm

Highest Common Factor of 699,452,297 is 1

Step 1: Since 699 > 452, we apply the division lemma to 699 and 452, to get

699 = 452 x 1 + 247

Step 2: Since the reminder 452 ≠ 0, we apply division lemma to 247 and 452, to get

452 = 247 x 1 + 205

Step 3: We consider the new divisor 247 and the new remainder 205, and apply the division lemma to get

247 = 205 x 1 + 42

We consider the new divisor 205 and the new remainder 42,and apply the division lemma to get

205 = 42 x 4 + 37

We consider the new divisor 42 and the new remainder 37,and apply the division lemma to get

42 = 37 x 1 + 5

We consider the new divisor 37 and the new remainder 5,and apply the division lemma to get

37 = 5 x 7 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 699 and 452 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(37,5) = HCF(42,37) = HCF(205,42) = HCF(247,205) = HCF(452,247) = HCF(699,452) .

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

Step 1: Since 297 > 1, we apply the division lemma to 297 and 1, to get

297 = 1 x 297 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 297 is 1

Notice that 1 = HCF(297,1) .

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Frequently Asked Questions on HCF of 699, 452, 297 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 699, 452, 297?

Answer: HCF of 699, 452, 297 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 699, 452, 297 using Euclid's Algorithm?

Answer: For arbitrary numbers 699, 452, 297 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.