Highest Common Factor of 759, 549, 730 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 759, 549, 730 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 759, 549, 730 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 759, 549, 730 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 759, 549, 730 is 1.

HCF(759, 549, 730) = 1

HCF of 759, 549, 730 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 759, 549, 730 is 1.

Highest Common Factor of 759,549,730 using Euclid's algorithm

Highest Common Factor of 759,549,730 is 1

Step 1: Since 759 > 549, we apply the division lemma to 759 and 549, to get

759 = 549 x 1 + 210

Step 2: Since the reminder 549 ≠ 0, we apply division lemma to 210 and 549, to get

549 = 210 x 2 + 129

Step 3: We consider the new divisor 210 and the new remainder 129, and apply the division lemma to get

210 = 129 x 1 + 81

We consider the new divisor 129 and the new remainder 81,and apply the division lemma to get

129 = 81 x 1 + 48

We consider the new divisor 81 and the new remainder 48,and apply the division lemma to get

81 = 48 x 1 + 33

We consider the new divisor 48 and the new remainder 33,and apply the division lemma to get

48 = 33 x 1 + 15

We consider the new divisor 33 and the new remainder 15,and apply the division lemma to get

33 = 15 x 2 + 3

We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get

15 = 3 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 759 and 549 is 3

Notice that 3 = HCF(15,3) = HCF(33,15) = HCF(48,33) = HCF(81,48) = HCF(129,81) = HCF(210,129) = HCF(549,210) = HCF(759,549) .

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

Step 1: Since 730 > 3, we apply the division lemma to 730 and 3, to get

730 = 3 x 243 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 730 is 1

Notice that 1 = HCF(3,1) = HCF(730,3) .

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Frequently Asked Questions on HCF of 759, 549, 730 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 759, 549, 730?

Answer: HCF of 759, 549, 730 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 759, 549, 730 using Euclid's Algorithm?

Answer: For arbitrary numbers 759, 549, 730 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.