Highest Common Factor of 9487, 5078 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 9487, 5078 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9487, 5078 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 9487, 5078 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 9487, 5078 is 1.

HCF(9487, 5078) = 1

HCF of 9487, 5078 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 9487, 5078 is 1.

Highest Common Factor of 9487,5078 using Euclid's algorithm

Highest Common Factor of 9487,5078 is 1

Step 1: Since 9487 > 5078, we apply the division lemma to 9487 and 5078, to get

9487 = 5078 x 1 + 4409

Step 2: Since the reminder 5078 ≠ 0, we apply division lemma to 4409 and 5078, to get

5078 = 4409 x 1 + 669

Step 3: We consider the new divisor 4409 and the new remainder 669, and apply the division lemma to get

4409 = 669 x 6 + 395

We consider the new divisor 669 and the new remainder 395,and apply the division lemma to get

669 = 395 x 1 + 274

We consider the new divisor 395 and the new remainder 274,and apply the division lemma to get

395 = 274 x 1 + 121

We consider the new divisor 274 and the new remainder 121,and apply the division lemma to get

274 = 121 x 2 + 32

We consider the new divisor 121 and the new remainder 32,and apply the division lemma to get

121 = 32 x 3 + 25

We consider the new divisor 32 and the new remainder 25,and apply the division lemma to get

32 = 25 x 1 + 7

We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get

25 = 7 x 3 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 9487 and 5078 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(32,25) = HCF(121,32) = HCF(274,121) = HCF(395,274) = HCF(669,395) = HCF(4409,669) = HCF(5078,4409) = HCF(9487,5078) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 9487, 5078 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 9487, 5078?

Answer: HCF of 9487, 5078 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9487, 5078 using Euclid's Algorithm?

Answer: For arbitrary numbers 9487, 5078 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.