Highest Common Factor of 334, 195, 101 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 334, 195, 101 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 334, 195, 101 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 334, 195, 101 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 334, 195, 101 is 1.

HCF(334, 195, 101) = 1

HCF of 334, 195, 101 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 334, 195, 101 is 1.

Highest Common Factor of 334,195,101 using Euclid's algorithm

Highest Common Factor of 334,195,101 is 1

Step 1: Since 334 > 195, we apply the division lemma to 334 and 195, to get

334 = 195 x 1 + 139

Step 2: Since the reminder 195 ≠ 0, we apply division lemma to 139 and 195, to get

195 = 139 x 1 + 56

Step 3: We consider the new divisor 139 and the new remainder 56, and apply the division lemma to get

139 = 56 x 2 + 27

We consider the new divisor 56 and the new remainder 27,and apply the division lemma to get

56 = 27 x 2 + 2

We consider the new divisor 27 and the new remainder 2,and apply the division lemma to get

27 = 2 x 13 + 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 334 and 195 is 1

Notice that 1 = HCF(2,1) = HCF(27,2) = HCF(56,27) = HCF(139,56) = HCF(195,139) = HCF(334,195) .

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

Step 1: Since 101 > 1, we apply the division lemma to 101 and 1, to get

101 = 1 x 101 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 101 is 1

Notice that 1 = HCF(101,1) .

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Frequently Asked Questions on HCF of 334, 195, 101 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 334, 195, 101?

Answer: HCF of 334, 195, 101 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 334, 195, 101 using Euclid's Algorithm?

Answer: For arbitrary numbers 334, 195, 101 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.