Highest Common Factor of 527, 477, 574, 56 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 527, 477, 574, 56 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 527, 477, 574, 56 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 527, 477, 574, 56 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 527, 477, 574, 56 is 1.

HCF(527, 477, 574, 56) = 1

HCF of 527, 477, 574, 56 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 527, 477, 574, 56 is 1.

Highest Common Factor of 527,477,574,56 using Euclid's algorithm

Highest Common Factor of 527,477,574,56 is 1

Step 1: Since 527 > 477, we apply the division lemma to 527 and 477, to get

527 = 477 x 1 + 50

Step 2: Since the reminder 477 ≠ 0, we apply division lemma to 50 and 477, to get

477 = 50 x 9 + 27

Step 3: We consider the new divisor 50 and the new remainder 27, and apply the division lemma to get

50 = 27 x 1 + 23

We consider the new divisor 27 and the new remainder 23,and apply the division lemma to get

27 = 23 x 1 + 4

We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get

23 = 4 x 5 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 527 and 477 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(27,23) = HCF(50,27) = HCF(477,50) = HCF(527,477) .

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

Step 1: Since 574 > 1, we apply the division lemma to 574 and 1, to get

574 = 1 x 574 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 574 is 1

Notice that 1 = HCF(574,1) .

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

Step 1: Since 56 > 1, we apply the division lemma to 56 and 1, to get

56 = 1 x 56 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 56 is 1

Notice that 1 = HCF(56,1) .

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Frequently Asked Questions on HCF of 527, 477, 574, 56 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 527, 477, 574, 56?

Answer: HCF of 527, 477, 574, 56 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 527, 477, 574, 56 using Euclid's Algorithm?

Answer: For arbitrary numbers 527, 477, 574, 56 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.