Highest Common Factor of 5337, 8800 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 5337, 8800 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5337, 8800 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 5337, 8800 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 5337, 8800 is 1.

HCF(5337, 8800) = 1

HCF of 5337, 8800 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 5337, 8800 is 1.

Highest Common Factor of 5337,8800 using Euclid's algorithm

Highest Common Factor of 5337,8800 is 1

Step 1: Since 8800 > 5337, we apply the division lemma to 8800 and 5337, to get

8800 = 5337 x 1 + 3463

Step 2: Since the reminder 5337 ≠ 0, we apply division lemma to 3463 and 5337, to get

5337 = 3463 x 1 + 1874

Step 3: We consider the new divisor 3463 and the new remainder 1874, and apply the division lemma to get

3463 = 1874 x 1 + 1589

We consider the new divisor 1874 and the new remainder 1589,and apply the division lemma to get

1874 = 1589 x 1 + 285

We consider the new divisor 1589 and the new remainder 285,and apply the division lemma to get

1589 = 285 x 5 + 164

We consider the new divisor 285 and the new remainder 164,and apply the division lemma to get

285 = 164 x 1 + 121

We consider the new divisor 164 and the new remainder 121,and apply the division lemma to get

164 = 121 x 1 + 43

We consider the new divisor 121 and the new remainder 43,and apply the division lemma to get

121 = 43 x 2 + 35

We consider the new divisor 43 and the new remainder 35,and apply the division lemma to get

43 = 35 x 1 + 8

We consider the new divisor 35 and the new remainder 8,and apply the division lemma to get

35 = 8 x 4 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 5337 and 8800 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(35,8) = HCF(43,35) = HCF(121,43) = HCF(164,121) = HCF(285,164) = HCF(1589,285) = HCF(1874,1589) = HCF(3463,1874) = HCF(5337,3463) = HCF(8800,5337) .

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Frequently Asked Questions on HCF of 5337, 8800 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 5337, 8800?

Answer: HCF of 5337, 8800 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5337, 8800 using Euclid's Algorithm?

Answer: For arbitrary numbers 5337, 8800 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.