Highest Common Factor of 5534, 6737, 63810 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 5534, 6737, 63810 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5534, 6737, 63810 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 5534, 6737, 63810 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 5534, 6737, 63810 is 1.

HCF(5534, 6737, 63810) = 1

HCF of 5534, 6737, 63810 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 5534, 6737, 63810 is 1.

Highest Common Factor of 5534,6737,63810 using Euclid's algorithm

Highest Common Factor of 5534,6737,63810 is 1

Step 1: Since 6737 > 5534, we apply the division lemma to 6737 and 5534, to get

6737 = 5534 x 1 + 1203

Step 2: Since the reminder 5534 ≠ 0, we apply division lemma to 1203 and 5534, to get

5534 = 1203 x 4 + 722

Step 3: We consider the new divisor 1203 and the new remainder 722, and apply the division lemma to get

1203 = 722 x 1 + 481

We consider the new divisor 722 and the new remainder 481,and apply the division lemma to get

722 = 481 x 1 + 241

We consider the new divisor 481 and the new remainder 241,and apply the division lemma to get

481 = 241 x 1 + 240

We consider the new divisor 241 and the new remainder 240,and apply the division lemma to get

241 = 240 x 1 + 1

We consider the new divisor 240 and the new remainder 1,and apply the division lemma to get

240 = 1 x 240 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5534 and 6737 is 1

Notice that 1 = HCF(240,1) = HCF(241,240) = HCF(481,241) = HCF(722,481) = HCF(1203,722) = HCF(5534,1203) = HCF(6737,5534) .

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

Step 1: Since 63810 > 1, we apply the division lemma to 63810 and 1, to get

63810 = 1 x 63810 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63810 is 1

Notice that 1 = HCF(63810,1) .

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Frequently Asked Questions on HCF of 5534, 6737, 63810 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 5534, 6737, 63810?

Answer: HCF of 5534, 6737, 63810 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5534, 6737, 63810 using Euclid's Algorithm?

Answer: For arbitrary numbers 5534, 6737, 63810 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.