Highest Common Factor of 851, 534, 195 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 851, 534, 195 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 851, 534, 195 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 851, 534, 195 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 851, 534, 195 is 1.

HCF(851, 534, 195) = 1

HCF of 851, 534, 195 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 851, 534, 195 is 1.

Highest Common Factor of 851,534,195 using Euclid's algorithm

Highest Common Factor of 851,534,195 is 1

Step 1: Since 851 > 534, we apply the division lemma to 851 and 534, to get

851 = 534 x 1 + 317

Step 2: Since the reminder 534 ≠ 0, we apply division lemma to 317 and 534, to get

534 = 317 x 1 + 217

Step 3: We consider the new divisor 317 and the new remainder 217, and apply the division lemma to get

317 = 217 x 1 + 100

We consider the new divisor 217 and the new remainder 100,and apply the division lemma to get

217 = 100 x 2 + 17

We consider the new divisor 100 and the new remainder 17,and apply the division lemma to get

100 = 17 x 5 + 15

We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get

17 = 15 x 1 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 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 851 and 534 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(100,17) = HCF(217,100) = HCF(317,217) = HCF(534,317) = HCF(851,534) .


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

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

195 = 1 x 195 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 195 is 1

Notice that 1 = HCF(195,1) .

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Frequently Asked Questions on HCF of 851, 534, 195 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 851, 534, 195?

Answer: HCF of 851, 534, 195 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 851, 534, 195 using Euclid's Algorithm?

Answer: For arbitrary numbers 851, 534, 195 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.