Highest Common Factor of 848, 334, 649 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 848, 334, 649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 848, 334, 649 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 848, 334, 649 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 848, 334, 649 is 1.

HCF(848, 334, 649) = 1

HCF of 848, 334, 649 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 848, 334, 649 is 1.

Highest Common Factor of 848,334,649 using Euclid's algorithm

Highest Common Factor of 848,334,649 is 1

Step 1: Since 848 > 334, we apply the division lemma to 848 and 334, to get

848 = 334 x 2 + 180

Step 2: Since the reminder 334 ≠ 0, we apply division lemma to 180 and 334, to get

334 = 180 x 1 + 154

Step 3: We consider the new divisor 180 and the new remainder 154, and apply the division lemma to get

180 = 154 x 1 + 26

We consider the new divisor 154 and the new remainder 26,and apply the division lemma to get

154 = 26 x 5 + 24

We consider the new divisor 26 and the new remainder 24,and apply the division lemma to get

26 = 24 x 1 + 2

We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get

24 = 2 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 848 and 334 is 2

Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(154,26) = HCF(180,154) = HCF(334,180) = HCF(848,334) .

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

Step 1: Since 649 > 2, we apply the division lemma to 649 and 2, to get

649 = 2 x 324 + 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 649 is 1

Notice that 1 = HCF(2,1) = HCF(649,2) .

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Frequently Asked Questions on HCF of 848, 334, 649 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 848, 334, 649?

Answer: HCF of 848, 334, 649 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 848, 334, 649 using Euclid's Algorithm?

Answer: For arbitrary numbers 848, 334, 649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.