Highest Common Factor of 464, 763, 246 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 464, 763, 246 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 464, 763, 246 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 464, 763, 246 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 464, 763, 246 is 1.

HCF(464, 763, 246) = 1

HCF of 464, 763, 246 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 464, 763, 246 is 1.

Highest Common Factor of 464,763,246 using Euclid's algorithm

Highest Common Factor of 464,763,246 is 1

Step 1: Since 763 > 464, we apply the division lemma to 763 and 464, to get

763 = 464 x 1 + 299

Step 2: Since the reminder 464 ≠ 0, we apply division lemma to 299 and 464, to get

464 = 299 x 1 + 165

Step 3: We consider the new divisor 299 and the new remainder 165, and apply the division lemma to get

299 = 165 x 1 + 134

We consider the new divisor 165 and the new remainder 134,and apply the division lemma to get

165 = 134 x 1 + 31

We consider the new divisor 134 and the new remainder 31,and apply the division lemma to get

134 = 31 x 4 + 10

We consider the new divisor 31 and the new remainder 10,and apply the division lemma to get

31 = 10 x 3 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 464 and 763 is 1

Notice that 1 = HCF(10,1) = HCF(31,10) = HCF(134,31) = HCF(165,134) = HCF(299,165) = HCF(464,299) = HCF(763,464) .

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

Step 1: Since 246 > 1, we apply the division lemma to 246 and 1, to get

246 = 1 x 246 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 246 is 1

Notice that 1 = HCF(246,1) .

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Frequently Asked Questions on HCF of 464, 763, 246 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 464, 763, 246?

Answer: HCF of 464, 763, 246 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 464, 763, 246 using Euclid's Algorithm?

Answer: For arbitrary numbers 464, 763, 246 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.