Highest Common Factor of 5035, 8756 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 5035, 8756 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5035, 8756 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 5035, 8756 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 5035, 8756 is 1.

HCF(5035, 8756) = 1

HCF of 5035, 8756 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 5035, 8756 is 1.

Highest Common Factor of 5035,8756 using Euclid's algorithm

Highest Common Factor of 5035,8756 is 1

Step 1: Since 8756 > 5035, we apply the division lemma to 8756 and 5035, to get

8756 = 5035 x 1 + 3721

Step 2: Since the reminder 5035 ≠ 0, we apply division lemma to 3721 and 5035, to get

5035 = 3721 x 1 + 1314

Step 3: We consider the new divisor 3721 and the new remainder 1314, and apply the division lemma to get

3721 = 1314 x 2 + 1093

We consider the new divisor 1314 and the new remainder 1093,and apply the division lemma to get

1314 = 1093 x 1 + 221

We consider the new divisor 1093 and the new remainder 221,and apply the division lemma to get

1093 = 221 x 4 + 209

We consider the new divisor 221 and the new remainder 209,and apply the division lemma to get

221 = 209 x 1 + 12

We consider the new divisor 209 and the new remainder 12,and apply the division lemma to get

209 = 12 x 17 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 5035 and 8756 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(209,12) = HCF(221,209) = HCF(1093,221) = HCF(1314,1093) = HCF(3721,1314) = HCF(5035,3721) = HCF(8756,5035) .

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Frequently Asked Questions on HCF of 5035, 8756 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 5035, 8756?

Answer: HCF of 5035, 8756 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5035, 8756 using Euclid's Algorithm?

Answer: For arbitrary numbers 5035, 8756 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.