Highest Common Factor of 407, 767, 464 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 407, 767, 464 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 407, 767, 464 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 407, 767, 464 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 407, 767, 464 is 1.

HCF(407, 767, 464) = 1

HCF of 407, 767, 464 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 407, 767, 464 is 1.

Highest Common Factor of 407,767,464 using Euclid's algorithm

Highest Common Factor of 407,767,464 is 1

Step 1: Since 767 > 407, we apply the division lemma to 767 and 407, to get

767 = 407 x 1 + 360

Step 2: Since the reminder 407 ≠ 0, we apply division lemma to 360 and 407, to get

407 = 360 x 1 + 47

Step 3: We consider the new divisor 360 and the new remainder 47, and apply the division lemma to get

360 = 47 x 7 + 31

We consider the new divisor 47 and the new remainder 31,and apply the division lemma to get

47 = 31 x 1 + 16

We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get

31 = 16 x 1 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 407 and 767 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(47,31) = HCF(360,47) = HCF(407,360) = HCF(767,407) .

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

Step 1: Since 464 > 1, we apply the division lemma to 464 and 1, to get

464 = 1 x 464 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 464 is 1

Notice that 1 = HCF(464,1) .

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Frequently Asked Questions on HCF of 407, 767, 464 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 407, 767, 464?

Answer: HCF of 407, 767, 464 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 407, 767, 464 using Euclid's Algorithm?

Answer: For arbitrary numbers 407, 767, 464 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.