Highest Common Factor of 555, 772, 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 555, 772, 277 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 555, 772, 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 555, 772, 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 555, 772, 277 is 1.

HCF(555, 772, 277) = 1

HCF of 555, 772, 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 555, 772, 277 is 1.

Highest Common Factor of 555,772,277 using Euclid's algorithm

Highest Common Factor of 555,772,277 is 1

Step 1: Since 772 > 555, we apply the division lemma to 772 and 555, to get

772 = 555 x 1 + 217

Step 2: Since the reminder 555 ≠ 0, we apply division lemma to 217 and 555, to get

555 = 217 x 2 + 121

Step 3: We consider the new divisor 217 and the new remainder 121, and apply the division lemma to get

217 = 121 x 1 + 96

We consider the new divisor 121 and the new remainder 96,and apply the division lemma to get

121 = 96 x 1 + 25

We consider the new divisor 96 and the new remainder 25,and apply the division lemma to get

96 = 25 x 3 + 21

We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get

25 = 21 x 1 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 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 555 and 772 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(96,25) = HCF(121,96) = HCF(217,121) = HCF(555,217) = HCF(772,555) .

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 555, 772, 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 555, 772, 277?

Answer: HCF of 555, 772, 277 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 555, 772, 277 using Euclid's Algorithm?

Answer: For arbitrary numbers 555, 772, 277 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.