Highest Common Factor of 544, 853, 221 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 544, 853, 221 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 544, 853, 221 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 544, 853, 221 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 544, 853, 221 is 1.

HCF(544, 853, 221) = 1

HCF of 544, 853, 221 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 544, 853, 221 is 1.

Highest Common Factor of 544,853,221 using Euclid's algorithm

Highest Common Factor of 544,853,221 is 1

Step 1: Since 853 > 544, we apply the division lemma to 853 and 544, to get

853 = 544 x 1 + 309

Step 2: Since the reminder 544 ≠ 0, we apply division lemma to 309 and 544, to get

544 = 309 x 1 + 235

Step 3: We consider the new divisor 309 and the new remainder 235, and apply the division lemma to get

309 = 235 x 1 + 74

We consider the new divisor 235 and the new remainder 74,and apply the division lemma to get

235 = 74 x 3 + 13

We consider the new divisor 74 and the new remainder 13,and apply the division lemma to get

74 = 13 x 5 + 9

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 544 and 853 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(74,13) = HCF(235,74) = HCF(309,235) = HCF(544,309) = HCF(853,544) .

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

Step 1: Since 221 > 1, we apply the division lemma to 221 and 1, to get

221 = 1 x 221 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 221 is 1

Notice that 1 = HCF(221,1) .

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Frequently Asked Questions on HCF of 544, 853, 221 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 544, 853, 221?

Answer: HCF of 544, 853, 221 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 544, 853, 221 using Euclid's Algorithm?

Answer: For arbitrary numbers 544, 853, 221 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.