Highest Common Factor of 854, 559, 814, 572 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 854, 559, 814, 572 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 854, 559, 814, 572 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 854, 559, 814, 572 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 854, 559, 814, 572 is 1.

HCF(854, 559, 814, 572) = 1

HCF of 854, 559, 814, 572 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 854, 559, 814, 572 is 1.

Highest Common Factor of 854,559,814,572 using Euclid's algorithm

Highest Common Factor of 854,559,814,572 is 1

Step 1: Since 854 > 559, we apply the division lemma to 854 and 559, to get

854 = 559 x 1 + 295

Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 295 and 559, to get

559 = 295 x 1 + 264

Step 3: We consider the new divisor 295 and the new remainder 264, and apply the division lemma to get

295 = 264 x 1 + 31

We consider the new divisor 264 and the new remainder 31,and apply the division lemma to get

264 = 31 x 8 + 16

We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get

31 = 16 x 1 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 854 and 559 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(264,31) = HCF(295,264) = HCF(559,295) = HCF(854,559) .

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

Step 1: Since 814 > 1, we apply the division lemma to 814 and 1, to get

814 = 1 x 814 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 814 is 1

Notice that 1 = HCF(814,1) .

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

Step 1: Since 572 > 1, we apply the division lemma to 572 and 1, to get

572 = 1 x 572 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 572 is 1

Notice that 1 = HCF(572,1) .

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Frequently Asked Questions on HCF of 854, 559, 814, 572 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 854, 559, 814, 572?

Answer: HCF of 854, 559, 814, 572 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 854, 559, 814, 572 using Euclid's Algorithm?

Answer: For arbitrary numbers 854, 559, 814, 572 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.