Highest Common Factor of 4705, 6686, 53381 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 4705, 6686, 53381 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4705, 6686, 53381 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 4705, 6686, 53381 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 4705, 6686, 53381 is 1.

HCF(4705, 6686, 53381) = 1

HCF of 4705, 6686, 53381 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 4705, 6686, 53381 is 1.

Highest Common Factor of 4705,6686,53381 using Euclid's algorithm

Highest Common Factor of 4705,6686,53381 is 1

Step 1: Since 6686 > 4705, we apply the division lemma to 6686 and 4705, to get

6686 = 4705 x 1 + 1981

Step 2: Since the reminder 4705 ≠ 0, we apply division lemma to 1981 and 4705, to get

4705 = 1981 x 2 + 743

Step 3: We consider the new divisor 1981 and the new remainder 743, and apply the division lemma to get

1981 = 743 x 2 + 495

We consider the new divisor 743 and the new remainder 495,and apply the division lemma to get

743 = 495 x 1 + 248

We consider the new divisor 495 and the new remainder 248,and apply the division lemma to get

495 = 248 x 1 + 247

We consider the new divisor 248 and the new remainder 247,and apply the division lemma to get

248 = 247 x 1 + 1

We consider the new divisor 247 and the new remainder 1,and apply the division lemma to get

247 = 1 x 247 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4705 and 6686 is 1

Notice that 1 = HCF(247,1) = HCF(248,247) = HCF(495,248) = HCF(743,495) = HCF(1981,743) = HCF(4705,1981) = HCF(6686,4705) .

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

Step 1: Since 53381 > 1, we apply the division lemma to 53381 and 1, to get

53381 = 1 x 53381 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 53381 is 1

Notice that 1 = HCF(53381,1) .

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Frequently Asked Questions on HCF of 4705, 6686, 53381 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 4705, 6686, 53381?

Answer: HCF of 4705, 6686, 53381 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4705, 6686, 53381 using Euclid's Algorithm?

Answer: For arbitrary numbers 4705, 6686, 53381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.