Highest Common Factor of 440, 721, 509, 266 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 440, 721, 509, 266 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 440, 721, 509, 266 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 440, 721, 509, 266 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 440, 721, 509, 266 is 1.

HCF(440, 721, 509, 266) = 1

HCF of 440, 721, 509, 266 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 440, 721, 509, 266 is 1.

Highest Common Factor of 440,721,509,266 using Euclid's algorithm

Highest Common Factor of 440,721,509,266 is 1

Step 1: Since 721 > 440, we apply the division lemma to 721 and 440, to get

721 = 440 x 1 + 281

Step 2: Since the reminder 440 ≠ 0, we apply division lemma to 281 and 440, to get

440 = 281 x 1 + 159

Step 3: We consider the new divisor 281 and the new remainder 159, and apply the division lemma to get

281 = 159 x 1 + 122

We consider the new divisor 159 and the new remainder 122,and apply the division lemma to get

159 = 122 x 1 + 37

We consider the new divisor 122 and the new remainder 37,and apply the division lemma to get

122 = 37 x 3 + 11

We consider the new divisor 37 and the new remainder 11,and apply the division lemma to get

37 = 11 x 3 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 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 440 and 721 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(37,11) = HCF(122,37) = HCF(159,122) = HCF(281,159) = HCF(440,281) = HCF(721,440) .

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

Step 1: Since 509 > 1, we apply the division lemma to 509 and 1, to get

509 = 1 x 509 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 509 is 1

Notice that 1 = HCF(509,1) .

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

Step 1: Since 266 > 1, we apply the division lemma to 266 and 1, to get

266 = 1 x 266 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 266 is 1

Notice that 1 = HCF(266,1) .

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Frequently Asked Questions on HCF of 440, 721, 509, 266 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 440, 721, 509, 266?

Answer: HCF of 440, 721, 509, 266 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 440, 721, 509, 266 using Euclid's Algorithm?

Answer: For arbitrary numbers 440, 721, 509, 266 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.