Highest Common Factor of 753, 455, 533 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 753, 455, 533 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 753, 455, 533 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 753, 455, 533 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 753, 455, 533 is 1.

HCF(753, 455, 533) = 1

HCF of 753, 455, 533 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 753, 455, 533 is 1.

Highest Common Factor of 753,455,533 using Euclid's algorithm

Highest Common Factor of 753,455,533 is 1

Step 1: Since 753 > 455, we apply the division lemma to 753 and 455, to get

753 = 455 x 1 + 298

Step 2: Since the reminder 455 ≠ 0, we apply division lemma to 298 and 455, to get

455 = 298 x 1 + 157

Step 3: We consider the new divisor 298 and the new remainder 157, and apply the division lemma to get

298 = 157 x 1 + 141

We consider the new divisor 157 and the new remainder 141,and apply the division lemma to get

157 = 141 x 1 + 16

We consider the new divisor 141 and the new remainder 16,and apply the division lemma to get

141 = 16 x 8 + 13

We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get

16 = 13 x 1 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 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 753 and 455 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(141,16) = HCF(157,141) = HCF(298,157) = HCF(455,298) = HCF(753,455) .

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

Step 1: Since 533 > 1, we apply the division lemma to 533 and 1, to get

533 = 1 x 533 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 533 is 1

Notice that 1 = HCF(533,1) .

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Frequently Asked Questions on HCF of 753, 455, 533 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 753, 455, 533?

Answer: HCF of 753, 455, 533 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 753, 455, 533 using Euclid's Algorithm?

Answer: For arbitrary numbers 753, 455, 533 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.