Highest Common Factor of 8255, 5066 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 8255, 5066 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8255, 5066 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 8255, 5066 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 8255, 5066 is 1.

HCF(8255, 5066) = 1

HCF of 8255, 5066 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 8255, 5066 is 1.

Highest Common Factor of 8255,5066 using Euclid's algorithm

Highest Common Factor of 8255,5066 is 1

Step 1: Since 8255 > 5066, we apply the division lemma to 8255 and 5066, to get

8255 = 5066 x 1 + 3189

Step 2: Since the reminder 5066 ≠ 0, we apply division lemma to 3189 and 5066, to get

5066 = 3189 x 1 + 1877

Step 3: We consider the new divisor 3189 and the new remainder 1877, and apply the division lemma to get

3189 = 1877 x 1 + 1312

We consider the new divisor 1877 and the new remainder 1312,and apply the division lemma to get

1877 = 1312 x 1 + 565

We consider the new divisor 1312 and the new remainder 565,and apply the division lemma to get

1312 = 565 x 2 + 182

We consider the new divisor 565 and the new remainder 182,and apply the division lemma to get

565 = 182 x 3 + 19

We consider the new divisor 182 and the new remainder 19,and apply the division lemma to get

182 = 19 x 9 + 11

We consider the new divisor 19 and the new remainder 11,and apply the division lemma to get

19 = 11 x 1 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 8255 and 5066 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(19,11) = HCF(182,19) = HCF(565,182) = HCF(1312,565) = HCF(1877,1312) = HCF(3189,1877) = HCF(5066,3189) = HCF(8255,5066) .

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Frequently Asked Questions on HCF of 8255, 5066 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 8255, 5066?

Answer: HCF of 8255, 5066 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8255, 5066 using Euclid's Algorithm?

Answer: For arbitrary numbers 8255, 5066 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.