Highest Common Factor of 759, 984, 445, 45 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, 984, 445, 45 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 759, 984, 445, 45 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, 984, 445, 45 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, 984, 445, 45 is 1.

HCF(759, 984, 445, 45) = 1

HCF of 759, 984, 445, 45 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, 984, 445, 45 is 1.

Highest Common Factor of 759,984,445,45 using Euclid's algorithm

Highest Common Factor of 759,984,445,45 is 1

Step 1: Since 984 > 759, we apply the division lemma to 984 and 759, to get

984 = 759 x 1 + 225

Step 2: Since the reminder 759 ≠ 0, we apply division lemma to 225 and 759, to get

759 = 225 x 3 + 84

Step 3: We consider the new divisor 225 and the new remainder 84, and apply the division lemma to get

225 = 84 x 2 + 57

We consider the new divisor 84 and the new remainder 57,and apply the division lemma to get

84 = 57 x 1 + 27

We consider the new divisor 57 and the new remainder 27,and apply the division lemma to get

57 = 27 x 2 + 3

We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get

27 = 3 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 759 and 984 is 3

Notice that 3 = HCF(27,3) = HCF(57,27) = HCF(84,57) = HCF(225,84) = HCF(759,225) = HCF(984,759) .

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

Step 1: Since 445 > 3, we apply the division lemma to 445 and 3, to get

445 = 3 x 148 + 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 445 is 1

Notice that 1 = HCF(3,1) = HCF(445,3) .

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

Step 1: Since 45 > 1, we apply the division lemma to 45 and 1, to get

45 = 1 x 45 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 45 is 1

Notice that 1 = HCF(45,1) .

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Frequently Asked Questions on HCF of 759, 984, 445, 45 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, 984, 445, 45?

Answer: HCF of 759, 984, 445, 45 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 759, 984, 445, 45 using Euclid's Algorithm?

Answer: For arbitrary numbers 759, 984, 445, 45 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.