Highest Common Factor of 5701, 8840 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 5701, 8840 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5701, 8840 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 5701, 8840 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 5701, 8840 is 1.

HCF(5701, 8840) = 1

HCF of 5701, 8840 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 5701, 8840 is 1.

Highest Common Factor of 5701,8840 using Euclid's algorithm

Highest Common Factor of 5701,8840 is 1

Step 1: Since 8840 > 5701, we apply the division lemma to 8840 and 5701, to get

8840 = 5701 x 1 + 3139

Step 2: Since the reminder 5701 ≠ 0, we apply division lemma to 3139 and 5701, to get

5701 = 3139 x 1 + 2562

Step 3: We consider the new divisor 3139 and the new remainder 2562, and apply the division lemma to get

3139 = 2562 x 1 + 577

We consider the new divisor 2562 and the new remainder 577,and apply the division lemma to get

2562 = 577 x 4 + 254

We consider the new divisor 577 and the new remainder 254,and apply the division lemma to get

577 = 254 x 2 + 69

We consider the new divisor 254 and the new remainder 69,and apply the division lemma to get

254 = 69 x 3 + 47

We consider the new divisor 69 and the new remainder 47,and apply the division lemma to get

69 = 47 x 1 + 22

We consider the new divisor 47 and the new remainder 22,and apply the division lemma to get

47 = 22 x 2 + 3

We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get

22 = 3 x 7 + 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 5701 and 8840 is 1

Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(47,22) = HCF(69,47) = HCF(254,69) = HCF(577,254) = HCF(2562,577) = HCF(3139,2562) = HCF(5701,3139) = HCF(8840,5701) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5701, 8840 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 5701, 8840?

Answer: HCF of 5701, 8840 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5701, 8840 using Euclid's Algorithm?

Answer: For arbitrary numbers 5701, 8840 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.