Highest Common Factor of 464, 4752 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, 4752 i.e. 16 the largest integer that leaves a remainder zero for all numbers.

HCF of 464, 4752 is 16 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, 4752 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, 4752 is 16.

HCF(464, 4752) = 16

HCF of 464, 4752 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, 4752 is 16.

Highest Common Factor of 464,4752 using Euclid's algorithm

Highest Common Factor of 464,4752 is 16

Step 1: Since 4752 > 464, we apply the division lemma to 4752 and 464, to get

4752 = 464 x 10 + 112

Step 2: Since the reminder 464 ≠ 0, we apply division lemma to 112 and 464, to get

464 = 112 x 4 + 16

Step 3: We consider the new divisor 112 and the new remainder 16, and apply the division lemma to get

112 = 16 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 464 and 4752 is 16

Notice that 16 = HCF(112,16) = HCF(464,112) = HCF(4752,464) .

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Frequently Asked Questions on HCF of 464, 4752 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, 4752?

Answer: HCF of 464, 4752 is 16 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 464, 4752 using Euclid's Algorithm?

Answer: For arbitrary numbers 464, 4752 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.