Highest Common Factor of 753, 551, 567 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, 551, 567 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 753, 551, 567 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, 551, 567 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, 551, 567 is 1.

HCF(753, 551, 567) = 1

HCF of 753, 551, 567 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, 551, 567 is 1.

Highest Common Factor of 753,551,567 using Euclid's algorithm

Highest Common Factor of 753,551,567 is 1

Step 1: Since 753 > 551, we apply the division lemma to 753 and 551, to get

753 = 551 x 1 + 202

Step 2: Since the reminder 551 ≠ 0, we apply division lemma to 202 and 551, to get

551 = 202 x 2 + 147

Step 3: We consider the new divisor 202 and the new remainder 147, and apply the division lemma to get

202 = 147 x 1 + 55

We consider the new divisor 147 and the new remainder 55,and apply the division lemma to get

147 = 55 x 2 + 37

We consider the new divisor 55 and the new remainder 37,and apply the division lemma to get

55 = 37 x 1 + 18

We consider the new divisor 37 and the new remainder 18,and apply the division lemma to get

37 = 18 x 2 + 1

We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get

18 = 1 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 753 and 551 is 1

Notice that 1 = HCF(18,1) = HCF(37,18) = HCF(55,37) = HCF(147,55) = HCF(202,147) = HCF(551,202) = HCF(753,551) .

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

Step 1: Since 567 > 1, we apply the division lemma to 567 and 1, to get

567 = 1 x 567 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 567 is 1

Notice that 1 = HCF(567,1) .

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Frequently Asked Questions on HCF of 753, 551, 567 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, 551, 567?

Answer: HCF of 753, 551, 567 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 753, 551, 567 using Euclid's Algorithm?

Answer: For arbitrary numbers 753, 551, 567 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.