Highest Common Factor of 557, 919, 523 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 557, 919, 523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 557, 919, 523 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 557, 919, 523 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 557, 919, 523 is 1.

HCF(557, 919, 523) = 1

HCF of 557, 919, 523 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 557, 919, 523 is 1.

Highest Common Factor of 557,919,523 using Euclid's algorithm

Highest Common Factor of 557,919,523 is 1

Step 1: Since 919 > 557, we apply the division lemma to 919 and 557, to get

919 = 557 x 1 + 362

Step 2: Since the reminder 557 ≠ 0, we apply division lemma to 362 and 557, to get

557 = 362 x 1 + 195

Step 3: We consider the new divisor 362 and the new remainder 195, and apply the division lemma to get

362 = 195 x 1 + 167

We consider the new divisor 195 and the new remainder 167,and apply the division lemma to get

195 = 167 x 1 + 28

We consider the new divisor 167 and the new remainder 28,and apply the division lemma to get

167 = 28 x 5 + 27

We consider the new divisor 28 and the new remainder 27,and apply the division lemma to get

28 = 27 x 1 + 1

We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get

27 = 1 x 27 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 557 and 919 is 1

Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(167,28) = HCF(195,167) = HCF(362,195) = HCF(557,362) = HCF(919,557) .

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

Step 1: Since 523 > 1, we apply the division lemma to 523 and 1, to get

523 = 1 x 523 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 523 is 1

Notice that 1 = HCF(523,1) .

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Frequently Asked Questions on HCF of 557, 919, 523 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 557, 919, 523?

Answer: HCF of 557, 919, 523 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 557, 919, 523 using Euclid's Algorithm?

Answer: For arbitrary numbers 557, 919, 523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.