Highest Common Factor of 8248, 4825 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 8248, 4825 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8248, 4825 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 8248, 4825 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 8248, 4825 is 1.

HCF(8248, 4825) = 1

HCF of 8248, 4825 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 8248, 4825 is 1.

Highest Common Factor of 8248,4825 using Euclid's algorithm

Highest Common Factor of 8248,4825 is 1

Step 1: Since 8248 > 4825, we apply the division lemma to 8248 and 4825, to get

8248 = 4825 x 1 + 3423

Step 2: Since the reminder 4825 ≠ 0, we apply division lemma to 3423 and 4825, to get

4825 = 3423 x 1 + 1402

Step 3: We consider the new divisor 3423 and the new remainder 1402, and apply the division lemma to get

3423 = 1402 x 2 + 619

We consider the new divisor 1402 and the new remainder 619,and apply the division lemma to get

1402 = 619 x 2 + 164

We consider the new divisor 619 and the new remainder 164,and apply the division lemma to get

619 = 164 x 3 + 127

We consider the new divisor 164 and the new remainder 127,and apply the division lemma to get

164 = 127 x 1 + 37

We consider the new divisor 127 and the new remainder 37,and apply the division lemma to get

127 = 37 x 3 + 16

We consider the new divisor 37 and the new remainder 16,and apply the division lemma to get

37 = 16 x 2 + 5

We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get

16 = 5 x 3 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8248 and 4825 is 1

Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(37,16) = HCF(127,37) = HCF(164,127) = HCF(619,164) = HCF(1402,619) = HCF(3423,1402) = HCF(4825,3423) = HCF(8248,4825) .

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Frequently Asked Questions on HCF of 8248, 4825 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 8248, 4825?

Answer: HCF of 8248, 4825 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8248, 4825 using Euclid's Algorithm?

Answer: For arbitrary numbers 8248, 4825 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.