Highest Common Factor of 4907, 8503 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 4907, 8503 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4907, 8503 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 4907, 8503 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 4907, 8503 is 1.

HCF(4907, 8503) = 1

HCF of 4907, 8503 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 4907, 8503 is 1.

Highest Common Factor of 4907,8503 using Euclid's algorithm

Highest Common Factor of 4907,8503 is 1

Step 1: Since 8503 > 4907, we apply the division lemma to 8503 and 4907, to get

8503 = 4907 x 1 + 3596

Step 2: Since the reminder 4907 ≠ 0, we apply division lemma to 3596 and 4907, to get

4907 = 3596 x 1 + 1311

Step 3: We consider the new divisor 3596 and the new remainder 1311, and apply the division lemma to get

3596 = 1311 x 2 + 974

We consider the new divisor 1311 and the new remainder 974,and apply the division lemma to get

1311 = 974 x 1 + 337

We consider the new divisor 974 and the new remainder 337,and apply the division lemma to get

974 = 337 x 2 + 300

We consider the new divisor 337 and the new remainder 300,and apply the division lemma to get

337 = 300 x 1 + 37

We consider the new divisor 300 and the new remainder 37,and apply the division lemma to get

300 = 37 x 8 + 4

We consider the new divisor 37 and the new remainder 4,and apply the division lemma to get

37 = 4 x 9 + 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 4907 and 8503 is 1

Notice that 1 = HCF(4,1) = HCF(37,4) = HCF(300,37) = HCF(337,300) = HCF(974,337) = HCF(1311,974) = HCF(3596,1311) = HCF(4907,3596) = HCF(8503,4907) .

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Frequently Asked Questions on HCF of 4907, 8503 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 4907, 8503?

Answer: HCF of 4907, 8503 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4907, 8503 using Euclid's Algorithm?

Answer: For arbitrary numbers 4907, 8503 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.