Highest Common Factor of 562, 713, 239, 73 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 562, 713, 239, 73 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 562, 713, 239, 73 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 562, 713, 239, 73 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 562, 713, 239, 73 is 1.

HCF(562, 713, 239, 73) = 1

HCF of 562, 713, 239, 73 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 562, 713, 239, 73 is 1.

Highest Common Factor of 562,713,239,73 using Euclid's algorithm

Highest Common Factor of 562,713,239,73 is 1

Step 1: Since 713 > 562, we apply the division lemma to 713 and 562, to get

713 = 562 x 1 + 151

Step 2: Since the reminder 562 ≠ 0, we apply division lemma to 151 and 562, to get

562 = 151 x 3 + 109

Step 3: We consider the new divisor 151 and the new remainder 109, and apply the division lemma to get

151 = 109 x 1 + 42

We consider the new divisor 109 and the new remainder 42,and apply the division lemma to get

109 = 42 x 2 + 25

We consider the new divisor 42 and the new remainder 25,and apply the division lemma to get

42 = 25 x 1 + 17

We consider the new divisor 25 and the new remainder 17,and apply the division lemma to get

25 = 17 x 1 + 8

We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get

17 = 8 x 2 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 562 and 713 is 1

Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(25,17) = HCF(42,25) = HCF(109,42) = HCF(151,109) = HCF(562,151) = HCF(713,562) .

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

Step 1: Since 239 > 1, we apply the division lemma to 239 and 1, to get

239 = 1 x 239 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 239 is 1

Notice that 1 = HCF(239,1) .

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

Step 1: Since 73 > 1, we apply the division lemma to 73 and 1, to get

73 = 1 x 73 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 73 is 1

Notice that 1 = HCF(73,1) .

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Frequently Asked Questions on HCF of 562, 713, 239, 73 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 562, 713, 239, 73?

Answer: HCF of 562, 713, 239, 73 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 562, 713, 239, 73 using Euclid's Algorithm?

Answer: For arbitrary numbers 562, 713, 239, 73 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.