Highest Common Factor of 5648, 4578, 33373 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 5648, 4578, 33373 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5648, 4578, 33373 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 5648, 4578, 33373 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 5648, 4578, 33373 is 1.

HCF(5648, 4578, 33373) = 1

HCF of 5648, 4578, 33373 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 5648, 4578, 33373 is 1.

Highest Common Factor of 5648,4578,33373 using Euclid's algorithm

Highest Common Factor of 5648,4578,33373 is 1

Step 1: Since 5648 > 4578, we apply the division lemma to 5648 and 4578, to get

5648 = 4578 x 1 + 1070

Step 2: Since the reminder 4578 ≠ 0, we apply division lemma to 1070 and 4578, to get

4578 = 1070 x 4 + 298

Step 3: We consider the new divisor 1070 and the new remainder 298, and apply the division lemma to get

1070 = 298 x 3 + 176

We consider the new divisor 298 and the new remainder 176,and apply the division lemma to get

298 = 176 x 1 + 122

We consider the new divisor 176 and the new remainder 122,and apply the division lemma to get

176 = 122 x 1 + 54

We consider the new divisor 122 and the new remainder 54,and apply the division lemma to get

122 = 54 x 2 + 14

We consider the new divisor 54 and the new remainder 14,and apply the division lemma to get

54 = 14 x 3 + 12

We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get

14 = 12 x 1 + 2

We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get

12 = 2 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5648 and 4578 is 2

Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(54,14) = HCF(122,54) = HCF(176,122) = HCF(298,176) = HCF(1070,298) = HCF(4578,1070) = HCF(5648,4578) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 33373 > 2, we apply the division lemma to 33373 and 2, to get

33373 = 2 x 16686 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 33373 is 1

Notice that 1 = HCF(2,1) = HCF(33373,2) .

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Frequently Asked Questions on HCF of 5648, 4578, 33373 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 5648, 4578, 33373?

Answer: HCF of 5648, 4578, 33373 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5648, 4578, 33373 using Euclid's Algorithm?

Answer: For arbitrary numbers 5648, 4578, 33373 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.