Highest Common Factor of 920, 552, 601 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 920, 552, 601 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 920, 552, 601 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 920, 552, 601 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 920, 552, 601 is 1.

HCF(920, 552, 601) = 1

HCF of 920, 552, 601 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 920, 552, 601 is 1.

Highest Common Factor of 920,552,601 using Euclid's algorithm

Highest Common Factor of 920,552,601 is 1

Step 1: Since 920 > 552, we apply the division lemma to 920 and 552, to get

920 = 552 x 1 + 368

Step 2: Since the reminder 552 ≠ 0, we apply division lemma to 368 and 552, to get

552 = 368 x 1 + 184

Step 3: We consider the new divisor 368 and the new remainder 184, and apply the division lemma to get

368 = 184 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 184, the HCF of 920 and 552 is 184

Notice that 184 = HCF(368,184) = HCF(552,368) = HCF(920,552) .

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

Step 1: Since 601 > 184, we apply the division lemma to 601 and 184, to get

601 = 184 x 3 + 49

Step 2: Since the reminder 184 ≠ 0, we apply division lemma to 49 and 184, to get

184 = 49 x 3 + 37

Step 3: We consider the new divisor 49 and the new remainder 37, and apply the division lemma to get

49 = 37 x 1 + 12

We consider the new divisor 37 and the new remainder 12,and apply the division lemma to get

37 = 12 x 3 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 184 and 601 is 1

Notice that 1 = HCF(12,1) = HCF(37,12) = HCF(49,37) = HCF(184,49) = HCF(601,184) .

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Frequently Asked Questions on HCF of 920, 552, 601 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 920, 552, 601?

Answer: HCF of 920, 552, 601 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 920, 552, 601 using Euclid's Algorithm?

Answer: For arbitrary numbers 920, 552, 601 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.