Highest Common Factor of 1227, 1556 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 1227, 1556 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1227, 1556 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 1227, 1556 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 1227, 1556 is 1.

HCF(1227, 1556) = 1

HCF of 1227, 1556 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 1227, 1556 is 1.

Highest Common Factor of 1227,1556 using Euclid's algorithm

Highest Common Factor of 1227,1556 is 1

Step 1: Since 1556 > 1227, we apply the division lemma to 1556 and 1227, to get

1556 = 1227 x 1 + 329

Step 2: Since the reminder 1227 ≠ 0, we apply division lemma to 329 and 1227, to get

1227 = 329 x 3 + 240

Step 3: We consider the new divisor 329 and the new remainder 240, and apply the division lemma to get

329 = 240 x 1 + 89

We consider the new divisor 240 and the new remainder 89,and apply the division lemma to get

240 = 89 x 2 + 62

We consider the new divisor 89 and the new remainder 62,and apply the division lemma to get

89 = 62 x 1 + 27

We consider the new divisor 62 and the new remainder 27,and apply the division lemma to get

62 = 27 x 2 + 8

We consider the new divisor 27 and the new remainder 8,and apply the division lemma to get

27 = 8 x 3 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1227 and 1556 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(27,8) = HCF(62,27) = HCF(89,62) = HCF(240,89) = HCF(329,240) = HCF(1227,329) = HCF(1556,1227) .

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Frequently Asked Questions on HCF of 1227, 1556 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 1227, 1556?

Answer: HCF of 1227, 1556 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1227, 1556 using Euclid's Algorithm?

Answer: For arbitrary numbers 1227, 1556 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.