Highest Common Factor of 594, 110, 277 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 594, 110, 277 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 594, 110, 277 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 594, 110, 277 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 594, 110, 277 is 1.

HCF(594, 110, 277) = 1

HCF of 594, 110, 277 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 594, 110, 277 is 1.

Highest Common Factor of 594,110,277 using Euclid's algorithm

Highest Common Factor of 594,110,277 is 1

Step 1: Since 594 > 110, we apply the division lemma to 594 and 110, to get

594 = 110 x 5 + 44

Step 2: Since the reminder 110 ≠ 0, we apply division lemma to 44 and 110, to get

110 = 44 x 2 + 22

Step 3: We consider the new divisor 44 and the new remainder 22, and apply the division lemma to get

44 = 22 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 594 and 110 is 22

Notice that 22 = HCF(44,22) = HCF(110,44) = HCF(594,110) .

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

Step 1: Since 277 > 22, we apply the division lemma to 277 and 22, to get

277 = 22 x 12 + 13

Step 2: Since the reminder 22 ≠ 0, we apply division lemma to 13 and 22, to get

22 = 13 x 1 + 9

Step 3: We consider the new divisor 13 and the new remainder 9, and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 22 and 277 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(277,22) .

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Frequently Asked Questions on HCF of 594, 110, 277 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 594, 110, 277?

Answer: HCF of 594, 110, 277 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 594, 110, 277 using Euclid's Algorithm?

Answer: For arbitrary numbers 594, 110, 277 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.