Highest Common Factor of 745, 461, 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 745, 461, 453 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 745, 461, 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 745, 461, 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 745, 461, 453 is 1.

HCF(745, 461, 453) = 1

HCF of 745, 461, 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 745, 461, 453 is 1.

Highest Common Factor of 745,461,453 using Euclid's algorithm

Highest Common Factor of 745,461,453 is 1

Step 1: Since 745 > 461, we apply the division lemma to 745 and 461, to get

745 = 461 x 1 + 284

Step 2: Since the reminder 461 ≠ 0, we apply division lemma to 284 and 461, to get

461 = 284 x 1 + 177

Step 3: We consider the new divisor 284 and the new remainder 177, and apply the division lemma to get

284 = 177 x 1 + 107

We consider the new divisor 177 and the new remainder 107,and apply the division lemma to get

177 = 107 x 1 + 70

We consider the new divisor 107 and the new remainder 70,and apply the division lemma to get

107 = 70 x 1 + 37

We consider the new divisor 70 and the new remainder 37,and apply the division lemma to get

70 = 37 x 1 + 33

We consider the new divisor 37 and the new remainder 33,and apply the division lemma to get

37 = 33 x 1 + 4

We consider the new divisor 33 and the new remainder 4,and apply the division lemma to get

33 = 4 x 8 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 745 and 461 is 1

Notice that 1 = HCF(4,1) = HCF(33,4) = HCF(37,33) = HCF(70,37) = HCF(107,70) = HCF(177,107) = HCF(284,177) = HCF(461,284) = HCF(745,461) .

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 745, 461, 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 745, 461, 453?

Answer: HCF of 745, 461, 453 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 745, 461, 453 using Euclid's Algorithm?

Answer: For arbitrary numbers 745, 461, 453 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.