Highest Common Factor of 709, 440, 449, 62 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 709, 440, 449, 62 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 709, 440, 449, 62 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 709, 440, 449, 62 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 709, 440, 449, 62 is 1.

HCF(709, 440, 449, 62) = 1

HCF of 709, 440, 449, 62 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 709, 440, 449, 62 is 1.

Highest Common Factor of 709,440,449,62 using Euclid's algorithm

Highest Common Factor of 709,440,449,62 is 1

Step 1: Since 709 > 440, we apply the division lemma to 709 and 440, to get

709 = 440 x 1 + 269

Step 2: Since the reminder 440 ≠ 0, we apply division lemma to 269 and 440, to get

440 = 269 x 1 + 171

Step 3: We consider the new divisor 269 and the new remainder 171, and apply the division lemma to get

269 = 171 x 1 + 98

We consider the new divisor 171 and the new remainder 98,and apply the division lemma to get

171 = 98 x 1 + 73

We consider the new divisor 98 and the new remainder 73,and apply the division lemma to get

98 = 73 x 1 + 25

We consider the new divisor 73 and the new remainder 25,and apply the division lemma to get

73 = 25 x 2 + 23

We consider the new divisor 25 and the new remainder 23,and apply the division lemma to get

25 = 23 x 1 + 2

We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get

23 = 2 x 11 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 709 and 440 is 1

Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(25,23) = HCF(73,25) = HCF(98,73) = HCF(171,98) = HCF(269,171) = HCF(440,269) = HCF(709,440) .

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

Step 1: Since 449 > 1, we apply the division lemma to 449 and 1, to get

449 = 1 x 449 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 449 is 1

Notice that 1 = HCF(449,1) .

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

Step 1: Since 62 > 1, we apply the division lemma to 62 and 1, to get

62 = 1 x 62 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 62 is 1

Notice that 1 = HCF(62,1) .

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Frequently Asked Questions on HCF of 709, 440, 449, 62 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 709, 440, 449, 62?

Answer: HCF of 709, 440, 449, 62 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 709, 440, 449, 62 using Euclid's Algorithm?

Answer: For arbitrary numbers 709, 440, 449, 62 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.