Highest Common Factor of 4807, 1285 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 4807, 1285 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4807, 1285 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 4807, 1285 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 4807, 1285 is 1.

HCF(4807, 1285) = 1

HCF of 4807, 1285 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 4807, 1285 is 1.

Highest Common Factor of 4807,1285 using Euclid's algorithm

Highest Common Factor of 4807,1285 is 1

Step 1: Since 4807 > 1285, we apply the division lemma to 4807 and 1285, to get

4807 = 1285 x 3 + 952

Step 2: Since the reminder 1285 ≠ 0, we apply division lemma to 952 and 1285, to get

1285 = 952 x 1 + 333

Step 3: We consider the new divisor 952 and the new remainder 333, and apply the division lemma to get

952 = 333 x 2 + 286

We consider the new divisor 333 and the new remainder 286,and apply the division lemma to get

333 = 286 x 1 + 47

We consider the new divisor 286 and the new remainder 47,and apply the division lemma to get

286 = 47 x 6 + 4

We consider the new divisor 47 and the new remainder 4,and apply the division lemma to get

47 = 4 x 11 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4807 and 1285 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(47,4) = HCF(286,47) = HCF(333,286) = HCF(952,333) = HCF(1285,952) = HCF(4807,1285) .

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Frequently Asked Questions on HCF of 4807, 1285 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 4807, 1285?

Answer: HCF of 4807, 1285 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4807, 1285 using Euclid's Algorithm?

Answer: For arbitrary numbers 4807, 1285 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.