Highest Common Factor of 464, 867, 614, 714 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 464, 867, 614, 714 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 464, 867, 614, 714 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 464, 867, 614, 714 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 464, 867, 614, 714 is 1.

HCF(464, 867, 614, 714) = 1

HCF of 464, 867, 614, 714 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 464, 867, 614, 714 is 1.

Highest Common Factor of 464,867,614,714 using Euclid's algorithm

Highest Common Factor of 464,867,614,714 is 1

Step 1: Since 867 > 464, we apply the division lemma to 867 and 464, to get

867 = 464 x 1 + 403

Step 2: Since the reminder 464 ≠ 0, we apply division lemma to 403 and 464, to get

464 = 403 x 1 + 61

Step 3: We consider the new divisor 403 and the new remainder 61, and apply the division lemma to get

403 = 61 x 6 + 37

We consider the new divisor 61 and the new remainder 37,and apply the division lemma to get

61 = 37 x 1 + 24

We consider the new divisor 37 and the new remainder 24,and apply the division lemma to get

37 = 24 x 1 + 13

We consider the new divisor 24 and the new remainder 13,and apply the division lemma to get

24 = 13 x 1 + 11

We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get

13 = 11 x 1 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 464 and 867 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(24,13) = HCF(37,24) = HCF(61,37) = HCF(403,61) = HCF(464,403) = HCF(867,464) .

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

Step 1: Since 614 > 1, we apply the division lemma to 614 and 1, to get

614 = 1 x 614 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 614 is 1

Notice that 1 = HCF(614,1) .

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

Step 1: Since 714 > 1, we apply the division lemma to 714 and 1, to get

714 = 1 x 714 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 714 is 1

Notice that 1 = HCF(714,1) .

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Frequently Asked Questions on HCF of 464, 867, 614, 714 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 464, 867, 614, 714?

Answer: HCF of 464, 867, 614, 714 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 464, 867, 614, 714 using Euclid's Algorithm?

Answer: For arbitrary numbers 464, 867, 614, 714 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.