Highest Common Factor of 814, 635, 472, 808 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 814, 635, 472, 808 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 814, 635, 472, 808 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 814, 635, 472, 808 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 814, 635, 472, 808 is 1.

HCF(814, 635, 472, 808) = 1

HCF of 814, 635, 472, 808 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 814, 635, 472, 808 is 1.

Highest Common Factor of 814,635,472,808 using Euclid's algorithm

Highest Common Factor of 814,635,472,808 is 1

Step 1: Since 814 > 635, we apply the division lemma to 814 and 635, to get

814 = 635 x 1 + 179

Step 2: Since the reminder 635 ≠ 0, we apply division lemma to 179 and 635, to get

635 = 179 x 3 + 98

Step 3: We consider the new divisor 179 and the new remainder 98, and apply the division lemma to get

179 = 98 x 1 + 81

We consider the new divisor 98 and the new remainder 81,and apply the division lemma to get

98 = 81 x 1 + 17

We consider the new divisor 81 and the new remainder 17,and apply the division lemma to get

81 = 17 x 4 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 814 and 635 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(81,17) = HCF(98,81) = HCF(179,98) = HCF(635,179) = HCF(814,635) .

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

Step 1: Since 472 > 1, we apply the division lemma to 472 and 1, to get

472 = 1 x 472 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 472 is 1

Notice that 1 = HCF(472,1) .

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

Step 1: Since 808 > 1, we apply the division lemma to 808 and 1, to get

808 = 1 x 808 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 808 is 1

Notice that 1 = HCF(808,1) .

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Frequently Asked Questions on HCF of 814, 635, 472, 808 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 814, 635, 472, 808?

Answer: HCF of 814, 635, 472, 808 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 814, 635, 472, 808 using Euclid's Algorithm?

Answer: For arbitrary numbers 814, 635, 472, 808 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.