Highest Common Factor of 440, 700, 791 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, 700, 791 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 440, 700, 791 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, 700, 791 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, 700, 791 is 1.

HCF(440, 700, 791) = 1

HCF of 440, 700, 791 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, 700, 791 is 1.

Highest Common Factor of 440,700,791 using Euclid's algorithm

Highest Common Factor of 440,700,791 is 1

Step 1: Since 700 > 440, we apply the division lemma to 700 and 440, to get

700 = 440 x 1 + 260

Step 2: Since the reminder 440 ≠ 0, we apply division lemma to 260 and 440, to get

440 = 260 x 1 + 180

Step 3: We consider the new divisor 260 and the new remainder 180, and apply the division lemma to get

260 = 180 x 1 + 80

We consider the new divisor 180 and the new remainder 80,and apply the division lemma to get

180 = 80 x 2 + 20

We consider the new divisor 80 and the new remainder 20,and apply the division lemma to get

80 = 20 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 20, the HCF of 440 and 700 is 20

Notice that 20 = HCF(80,20) = HCF(180,80) = HCF(260,180) = HCF(440,260) = HCF(700,440) .

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

Step 1: Since 791 > 20, we apply the division lemma to 791 and 20, to get

791 = 20 x 39 + 11

Step 2: Since the reminder 20 ≠ 0, we apply division lemma to 11 and 20, to get

20 = 11 x 1 + 9

Step 3: We consider the new divisor 11 and the new remainder 9, and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 20 and 791 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(20,11) = HCF(791,20) .

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Frequently Asked Questions on HCF of 440, 700, 791 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, 700, 791?

Answer: HCF of 440, 700, 791 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 440, 700, 791 using Euclid's Algorithm?

Answer: For arbitrary numbers 440, 700, 791 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.