Highest Common Factor of 708, 973, 453 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 708, 973, 453 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 708, 973, 453 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 708, 973, 453 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 708, 973, 453 is 1.

HCF(708, 973, 453) = 1

HCF of 708, 973, 453 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 708, 973, 453 is 1.

Highest Common Factor of 708,973,453 using Euclid's algorithm

Highest Common Factor of 708,973,453 is 1

Step 1: Since 973 > 708, we apply the division lemma to 973 and 708, to get

973 = 708 x 1 + 265

Step 2: Since the reminder 708 ≠ 0, we apply division lemma to 265 and 708, to get

708 = 265 x 2 + 178

Step 3: We consider the new divisor 265 and the new remainder 178, and apply the division lemma to get

265 = 178 x 1 + 87

We consider the new divisor 178 and the new remainder 87,and apply the division lemma to get

178 = 87 x 2 + 4

We consider the new divisor 87 and the new remainder 4,and apply the division lemma to get

87 = 4 x 21 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 708 and 973 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(87,4) = HCF(178,87) = HCF(265,178) = HCF(708,265) = HCF(973,708) .

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

Step 1: Since 453 > 1, we apply the division lemma to 453 and 1, to get

453 = 1 x 453 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 453 is 1

Notice that 1 = HCF(453,1) .

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Frequently Asked Questions on HCF of 708, 973, 453 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 708, 973, 453?

Answer: HCF of 708, 973, 453 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 708, 973, 453 using Euclid's Algorithm?

Answer: For arbitrary numbers 708, 973, 453 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.