Highest Common Factor of 8447, 4799 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 8447, 4799 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8447, 4799 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 8447, 4799 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 8447, 4799 is 1.

HCF(8447, 4799) = 1

HCF of 8447, 4799 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 8447, 4799 is 1.

Highest Common Factor of 8447,4799 using Euclid's algorithm

Highest Common Factor of 8447,4799 is 1

Step 1: Since 8447 > 4799, we apply the division lemma to 8447 and 4799, to get

8447 = 4799 x 1 + 3648

Step 2: Since the reminder 4799 ≠ 0, we apply division lemma to 3648 and 4799, to get

4799 = 3648 x 1 + 1151

Step 3: We consider the new divisor 3648 and the new remainder 1151, and apply the division lemma to get

3648 = 1151 x 3 + 195

We consider the new divisor 1151 and the new remainder 195,and apply the division lemma to get

1151 = 195 x 5 + 176

We consider the new divisor 195 and the new remainder 176,and apply the division lemma to get

195 = 176 x 1 + 19

We consider the new divisor 176 and the new remainder 19,and apply the division lemma to get

176 = 19 x 9 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 8447 and 4799 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(176,19) = HCF(195,176) = HCF(1151,195) = HCF(3648,1151) = HCF(4799,3648) = HCF(8447,4799) .

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Frequently Asked Questions on HCF of 8447, 4799 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 8447, 4799?

Answer: HCF of 8447, 4799 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8447, 4799 using Euclid's Algorithm?

Answer: For arbitrary numbers 8447, 4799 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.