Highest Common Factor of 643, 818, 137 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 643, 818, 137 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 643, 818, 137 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 643, 818, 137 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 643, 818, 137 is 1.

HCF(643, 818, 137) = 1

HCF of 643, 818, 137 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 643, 818, 137 is 1.

Highest Common Factor of 643,818,137 using Euclid's algorithm

Highest Common Factor of 643,818,137 is 1

Step 1: Since 818 > 643, we apply the division lemma to 818 and 643, to get

818 = 643 x 1 + 175

Step 2: Since the reminder 643 ≠ 0, we apply division lemma to 175 and 643, to get

643 = 175 x 3 + 118

Step 3: We consider the new divisor 175 and the new remainder 118, and apply the division lemma to get

175 = 118 x 1 + 57

We consider the new divisor 118 and the new remainder 57,and apply the division lemma to get

118 = 57 x 2 + 4

We consider the new divisor 57 and the new remainder 4,and apply the division lemma to get

57 = 4 x 14 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 643 and 818 is 1

Notice that 1 = HCF(4,1) = HCF(57,4) = HCF(118,57) = HCF(175,118) = HCF(643,175) = HCF(818,643) .

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

Step 1: Since 137 > 1, we apply the division lemma to 137 and 1, to get

137 = 1 x 137 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 137 is 1

Notice that 1 = HCF(137,1) .

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Frequently Asked Questions on HCF of 643, 818, 137 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 643, 818, 137?

Answer: HCF of 643, 818, 137 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 643, 818, 137 using Euclid's Algorithm?

Answer: For arbitrary numbers 643, 818, 137 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.