Highest Common Factor of 5578, 1235 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 5578, 1235 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5578, 1235 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 5578, 1235 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 5578, 1235 is 1.

HCF(5578, 1235) = 1

HCF of 5578, 1235 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 5578, 1235 is 1.

Highest Common Factor of 5578,1235 using Euclid's algorithm

Highest Common Factor of 5578,1235 is 1

Step 1: Since 5578 > 1235, we apply the division lemma to 5578 and 1235, to get

5578 = 1235 x 4 + 638

Step 2: Since the reminder 1235 ≠ 0, we apply division lemma to 638 and 1235, to get

1235 = 638 x 1 + 597

Step 3: We consider the new divisor 638 and the new remainder 597, and apply the division lemma to get

638 = 597 x 1 + 41

We consider the new divisor 597 and the new remainder 41,and apply the division lemma to get

597 = 41 x 14 + 23

We consider the new divisor 41 and the new remainder 23,and apply the division lemma to get

41 = 23 x 1 + 18

We consider the new divisor 23 and the new remainder 18,and apply the division lemma to get

23 = 18 x 1 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 5578 and 1235 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(23,18) = HCF(41,23) = HCF(597,41) = HCF(638,597) = HCF(1235,638) = HCF(5578,1235) .

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Frequently Asked Questions on HCF of 5578, 1235 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 5578, 1235?

Answer: HCF of 5578, 1235 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5578, 1235 using Euclid's Algorithm?

Answer: For arbitrary numbers 5578, 1235 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.