Highest Common Factor of 1790, 1117, 37506 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 1790, 1117, 37506 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1790, 1117, 37506 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 1790, 1117, 37506 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 1790, 1117, 37506 is 1.

HCF(1790, 1117, 37506) = 1

HCF of 1790, 1117, 37506 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 1790, 1117, 37506 is 1.

Highest Common Factor of 1790,1117,37506 using Euclid's algorithm

Highest Common Factor of 1790,1117,37506 is 1

Step 1: Since 1790 > 1117, we apply the division lemma to 1790 and 1117, to get

1790 = 1117 x 1 + 673

Step 2: Since the reminder 1117 ≠ 0, we apply division lemma to 673 and 1117, to get

1117 = 673 x 1 + 444

Step 3: We consider the new divisor 673 and the new remainder 444, and apply the division lemma to get

673 = 444 x 1 + 229

We consider the new divisor 444 and the new remainder 229,and apply the division lemma to get

444 = 229 x 1 + 215

We consider the new divisor 229 and the new remainder 215,and apply the division lemma to get

229 = 215 x 1 + 14

We consider the new divisor 215 and the new remainder 14,and apply the division lemma to get

215 = 14 x 15 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 1790 and 1117 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(215,14) = HCF(229,215) = HCF(444,229) = HCF(673,444) = HCF(1117,673) = HCF(1790,1117) .

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

Step 1: Since 37506 > 1, we apply the division lemma to 37506 and 1, to get

37506 = 1 x 37506 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 37506 is 1

Notice that 1 = HCF(37506,1) .

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Frequently Asked Questions on HCF of 1790, 1117, 37506 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 1790, 1117, 37506?

Answer: HCF of 1790, 1117, 37506 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1790, 1117, 37506 using Euclid's Algorithm?

Answer: For arbitrary numbers 1790, 1117, 37506 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.