Highest Common Factor of 5037, 8880 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 5037, 8880 i.e. 3 the largest integer that leaves a remainder zero for all numbers.

HCF of 5037, 8880 is 3 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 5037, 8880 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 5037, 8880 is 3.

HCF(5037, 8880) = 3

HCF of 5037, 8880 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 5037, 8880 is 3.

Highest Common Factor of 5037,8880 using Euclid's algorithm

Highest Common Factor of 5037,8880 is 3

Step 1: Since 8880 > 5037, we apply the division lemma to 8880 and 5037, to get

8880 = 5037 x 1 + 3843

Step 2: Since the reminder 5037 ≠ 0, we apply division lemma to 3843 and 5037, to get

5037 = 3843 x 1 + 1194

Step 3: We consider the new divisor 3843 and the new remainder 1194, and apply the division lemma to get

3843 = 1194 x 3 + 261

We consider the new divisor 1194 and the new remainder 261,and apply the division lemma to get

1194 = 261 x 4 + 150

We consider the new divisor 261 and the new remainder 150,and apply the division lemma to get

261 = 150 x 1 + 111

We consider the new divisor 150 and the new remainder 111,and apply the division lemma to get

150 = 111 x 1 + 39

We consider the new divisor 111 and the new remainder 39,and apply the division lemma to get

111 = 39 x 2 + 33

We consider the new divisor 39 and the new remainder 33,and apply the division lemma to get

39 = 33 x 1 + 6

We consider the new divisor 33 and the new remainder 6,and apply the division lemma to get

33 = 6 x 5 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5037 and 8880 is 3

Notice that 3 = HCF(6,3) = HCF(33,6) = HCF(39,33) = HCF(111,39) = HCF(150,111) = HCF(261,150) = HCF(1194,261) = HCF(3843,1194) = HCF(5037,3843) = HCF(8880,5037) .

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Frequently Asked Questions on HCF of 5037, 8880 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 5037, 8880?

Answer: HCF of 5037, 8880 is 3 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5037, 8880 using Euclid's Algorithm?

Answer: For arbitrary numbers 5037, 8880 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.