Highest Common Factor of 461, 760, 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 461, 760, 195 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 461, 760, 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 461, 760, 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 461, 760, 195 is 1.

HCF(461, 760, 195) = 1

HCF of 461, 760, 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 461, 760, 195 is 1.

Highest Common Factor of 461,760,195 using Euclid's algorithm

Highest Common Factor of 461,760,195 is 1

Step 1: Since 760 > 461, we apply the division lemma to 760 and 461, to get

760 = 461 x 1 + 299

Step 2: Since the reminder 461 ≠ 0, we apply division lemma to 299 and 461, to get

461 = 299 x 1 + 162

Step 3: We consider the new divisor 299 and the new remainder 162, and apply the division lemma to get

299 = 162 x 1 + 137

We consider the new divisor 162 and the new remainder 137,and apply the division lemma to get

162 = 137 x 1 + 25

We consider the new divisor 137 and the new remainder 25,and apply the division lemma to get

137 = 25 x 5 + 12

We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get

25 = 12 x 2 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 461 and 760 is 1

Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(137,25) = HCF(162,137) = HCF(299,162) = HCF(461,299) = HCF(760,461) .

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 461, 760, 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 461, 760, 195?

Answer: HCF of 461, 760, 195 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 461, 760, 195 using Euclid's Algorithm?

Answer: For arbitrary numbers 461, 760, 195 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.