Highest Common Factor of 635, 254, 843 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 635, 254, 843 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 635, 254, 843 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 635, 254, 843 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 635, 254, 843 is 1.

HCF(635, 254, 843) = 1

HCF of 635, 254, 843 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 635, 254, 843 is 1.

Highest Common Factor of 635,254,843 using Euclid's algorithm

Highest Common Factor of 635,254,843 is 1

Step 1: Since 635 > 254, we apply the division lemma to 635 and 254, to get

635 = 254 x 2 + 127

Step 2: Since the reminder 254 ≠ 0, we apply division lemma to 127 and 254, to get

254 = 127 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 127, the HCF of 635 and 254 is 127

Notice that 127 = HCF(254,127) = HCF(635,254) .

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

Step 1: Since 843 > 127, we apply the division lemma to 843 and 127, to get

843 = 127 x 6 + 81

Step 2: Since the reminder 127 ≠ 0, we apply division lemma to 81 and 127, to get

127 = 81 x 1 + 46

Step 3: We consider the new divisor 81 and the new remainder 46, and apply the division lemma to get

81 = 46 x 1 + 35

We consider the new divisor 46 and the new remainder 35,and apply the division lemma to get

46 = 35 x 1 + 11

We consider the new divisor 35 and the new remainder 11,and apply the division lemma to get

35 = 11 x 3 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 127 and 843 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(35,11) = HCF(46,35) = HCF(81,46) = HCF(127,81) = HCF(843,127) .

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Frequently Asked Questions on HCF of 635, 254, 843 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 635, 254, 843?

Answer: HCF of 635, 254, 843 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 635, 254, 843 using Euclid's Algorithm?

Answer: For arbitrary numbers 635, 254, 843 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.