Highest Common Factor of 440, 738, 607 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, 738, 607 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 440, 738, 607 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, 738, 607 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, 738, 607 is 1.

HCF(440, 738, 607) = 1

HCF of 440, 738, 607 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, 738, 607 is 1.

Highest Common Factor of 440,738,607 using Euclid's algorithm

Highest Common Factor of 440,738,607 is 1

Step 1: Since 738 > 440, we apply the division lemma to 738 and 440, to get

738 = 440 x 1 + 298

Step 2: Since the reminder 440 ≠ 0, we apply division lemma to 298 and 440, to get

440 = 298 x 1 + 142

Step 3: We consider the new divisor 298 and the new remainder 142, and apply the division lemma to get

298 = 142 x 2 + 14

We consider the new divisor 142 and the new remainder 14,and apply the division lemma to get

142 = 14 x 10 + 2

We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 440 and 738 is 2

Notice that 2 = HCF(14,2) = HCF(142,14) = HCF(298,142) = HCF(440,298) = HCF(738,440) .

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

Step 1: Since 607 > 2, we apply the division lemma to 607 and 2, to get

607 = 2 x 303 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 607 is 1

Notice that 1 = HCF(2,1) = HCF(607,2) .

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Frequently Asked Questions on HCF of 440, 738, 607 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, 738, 607?

Answer: HCF of 440, 738, 607 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 440, 738, 607 using Euclid's Algorithm?

Answer: For arbitrary numbers 440, 738, 607 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.