Highest Common Factor of 583, 737, 48 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 583, 737, 48 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 583, 737, 48 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 583, 737, 48 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 583, 737, 48 is 1.

HCF(583, 737, 48) = 1

HCF of 583, 737, 48 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 583, 737, 48 is 1.

Highest Common Factor of 583,737,48 using Euclid's algorithm

Highest Common Factor of 583,737,48 is 1

Step 1: Since 737 > 583, we apply the division lemma to 737 and 583, to get

737 = 583 x 1 + 154

Step 2: Since the reminder 583 ≠ 0, we apply division lemma to 154 and 583, to get

583 = 154 x 3 + 121

Step 3: We consider the new divisor 154 and the new remainder 121, and apply the division lemma to get

154 = 121 x 1 + 33

We consider the new divisor 121 and the new remainder 33,and apply the division lemma to get

121 = 33 x 3 + 22

We consider the new divisor 33 and the new remainder 22,and apply the division lemma to get

33 = 22 x 1 + 11

We consider the new divisor 22 and the new remainder 11,and apply the division lemma to get

22 = 11 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 583 and 737 is 11

Notice that 11 = HCF(22,11) = HCF(33,22) = HCF(121,33) = HCF(154,121) = HCF(583,154) = HCF(737,583) .

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

Step 1: Since 48 > 11, we apply the division lemma to 48 and 11, to get

48 = 11 x 4 + 4

Step 2: Since the reminder 11 ≠ 0, we apply division lemma to 4 and 11, to get

11 = 4 x 2 + 3

Step 3: We consider the new divisor 4 and the new remainder 3, and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1, and apply the division lemma 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 11 and 48 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(48,11) .

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Frequently Asked Questions on HCF of 583, 737, 48 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 583, 737, 48?

Answer: HCF of 583, 737, 48 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 583, 737, 48 using Euclid's Algorithm?

Answer: For arbitrary numbers 583, 737, 48 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.