Highest Common Factor of 1987, 7229 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 1987, 7229 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1987, 7229 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 1987, 7229 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 1987, 7229 is 1.

HCF(1987, 7229) = 1

HCF of 1987, 7229 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 1987, 7229 is 1.

Highest Common Factor of 1987,7229 using Euclid's algorithm

Highest Common Factor of 1987,7229 is 1

Step 1: Since 7229 > 1987, we apply the division lemma to 7229 and 1987, to get

7229 = 1987 x 3 + 1268

Step 2: Since the reminder 1987 ≠ 0, we apply division lemma to 1268 and 1987, to get

1987 = 1268 x 1 + 719

Step 3: We consider the new divisor 1268 and the new remainder 719, and apply the division lemma to get

1268 = 719 x 1 + 549

We consider the new divisor 719 and the new remainder 549,and apply the division lemma to get

719 = 549 x 1 + 170

We consider the new divisor 549 and the new remainder 170,and apply the division lemma to get

549 = 170 x 3 + 39

We consider the new divisor 170 and the new remainder 39,and apply the division lemma to get

170 = 39 x 4 + 14

We consider the new divisor 39 and the new remainder 14,and apply the division lemma to get

39 = 14 x 2 + 11

We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get

14 = 11 x 1 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 1987 and 7229 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(39,14) = HCF(170,39) = HCF(549,170) = HCF(719,549) = HCF(1268,719) = HCF(1987,1268) = HCF(7229,1987) .

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Frequently Asked Questions on HCF of 1987, 7229 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 1987, 7229?

Answer: HCF of 1987, 7229 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1987, 7229 using Euclid's Algorithm?

Answer: For arbitrary numbers 1987, 7229 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.