Highest Common Factor of 823, 48880 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 823, 48880 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 823, 48880 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 823, 48880 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 823, 48880 is 1.

HCF(823, 48880) = 1

HCF of 823, 48880 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 823, 48880 is 1.

Highest Common Factor of 823,48880 using Euclid's algorithm

Highest Common Factor of 823,48880 is 1

Step 1: Since 48880 > 823, we apply the division lemma to 48880 and 823, to get

48880 = 823 x 59 + 323

Step 2: Since the reminder 823 ≠ 0, we apply division lemma to 323 and 823, to get

823 = 323 x 2 + 177

Step 3: We consider the new divisor 323 and the new remainder 177, and apply the division lemma to get

323 = 177 x 1 + 146

We consider the new divisor 177 and the new remainder 146,and apply the division lemma to get

177 = 146 x 1 + 31

We consider the new divisor 146 and the new remainder 31,and apply the division lemma to get

146 = 31 x 4 + 22

We consider the new divisor 31 and the new remainder 22,and apply the division lemma to get

31 = 22 x 1 + 9

We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get

22 = 9 x 2 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 823 and 48880 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(31,22) = HCF(146,31) = HCF(177,146) = HCF(323,177) = HCF(823,323) = HCF(48880,823) .

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Frequently Asked Questions on HCF of 823, 48880 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 823, 48880?

Answer: HCF of 823, 48880 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 823, 48880 using Euclid's Algorithm?

Answer: For arbitrary numbers 823, 48880 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.