Highest Common Factor of 8597, 4750 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 8597, 4750 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8597, 4750 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 8597, 4750 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 8597, 4750 is 1.

HCF(8597, 4750) = 1

HCF of 8597, 4750 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 8597, 4750 is 1.

Highest Common Factor of 8597,4750 using Euclid's algorithm

Highest Common Factor of 8597,4750 is 1

Step 1: Since 8597 > 4750, we apply the division lemma to 8597 and 4750, to get

8597 = 4750 x 1 + 3847

Step 2: Since the reminder 4750 ≠ 0, we apply division lemma to 3847 and 4750, to get

4750 = 3847 x 1 + 903

Step 3: We consider the new divisor 3847 and the new remainder 903, and apply the division lemma to get

3847 = 903 x 4 + 235

We consider the new divisor 903 and the new remainder 235,and apply the division lemma to get

903 = 235 x 3 + 198

We consider the new divisor 235 and the new remainder 198,and apply the division lemma to get

235 = 198 x 1 + 37

We consider the new divisor 198 and the new remainder 37,and apply the division lemma to get

198 = 37 x 5 + 13

We consider the new divisor 37 and the new remainder 13,and apply the division lemma to get

37 = 13 x 2 + 11

We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get

13 = 11 x 1 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 8597 and 4750 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(37,13) = HCF(198,37) = HCF(235,198) = HCF(903,235) = HCF(3847,903) = HCF(4750,3847) = HCF(8597,4750) .

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Frequently Asked Questions on HCF of 8597, 4750 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 8597, 4750?

Answer: HCF of 8597, 4750 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8597, 4750 using Euclid's Algorithm?

Answer: For arbitrary numbers 8597, 4750 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.