Highest Common Factor of 553, 859, 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 553, 859, 277 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 553, 859, 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 553, 859, 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 553, 859, 277 is 1.

HCF(553, 859, 277) = 1

HCF of 553, 859, 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 553, 859, 277 is 1.

Highest Common Factor of 553,859,277 using Euclid's algorithm

Highest Common Factor of 553,859,277 is 1

Step 1: Since 859 > 553, we apply the division lemma to 859 and 553, to get

859 = 553 x 1 + 306

Step 2: Since the reminder 553 ≠ 0, we apply division lemma to 306 and 553, to get

553 = 306 x 1 + 247

Step 3: We consider the new divisor 306 and the new remainder 247, and apply the division lemma to get

306 = 247 x 1 + 59

We consider the new divisor 247 and the new remainder 59,and apply the division lemma to get

247 = 59 x 4 + 11

We consider the new divisor 59 and the new remainder 11,and apply the division lemma to get

59 = 11 x 5 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 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 553 and 859 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(59,11) = HCF(247,59) = HCF(306,247) = HCF(553,306) = HCF(859,553) .

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

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

277 = 1 x 277 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 277 is 1

Notice that 1 = HCF(277,1) .

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Frequently Asked Questions on HCF of 553, 859, 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 553, 859, 277?

Answer: HCF of 553, 859, 277 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 553, 859, 277 using Euclid's Algorithm?

Answer: For arbitrary numbers 553, 859, 277 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.