Highest Common Factor of 320, 763, 48 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 320, 763, 48 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 320, 763, 48 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 320, 763, 48 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 320, 763, 48 is 1.

HCF(320, 763, 48) = 1

HCF of 320, 763, 48 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 320, 763, 48 is 1.

Highest Common Factor of 320,763,48 using Euclid's algorithm

Highest Common Factor of 320,763,48 is 1

Step 1: Since 763 > 320, we apply the division lemma to 763 and 320, to get

763 = 320 x 2 + 123

Step 2: Since the reminder 320 ≠ 0, we apply division lemma to 123 and 320, to get

320 = 123 x 2 + 74

Step 3: We consider the new divisor 123 and the new remainder 74, and apply the division lemma to get

123 = 74 x 1 + 49

We consider the new divisor 74 and the new remainder 49,and apply the division lemma to get

74 = 49 x 1 + 25

We consider the new divisor 49 and the new remainder 25,and apply the division lemma to get

49 = 25 x 1 + 24

We consider the new divisor 25 and the new remainder 24,and apply the division lemma to get

25 = 24 x 1 + 1

We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get

24 = 1 x 24 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 320 and 763 is 1

Notice that 1 = HCF(24,1) = HCF(25,24) = HCF(49,25) = HCF(74,49) = HCF(123,74) = HCF(320,123) = HCF(763,320) .

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

Step 1: Since 48 > 1, we apply the division lemma to 48 and 1, to get

48 = 1 x 48 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 48 is 1

Notice that 1 = HCF(48,1) .

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Frequently Asked Questions on HCF of 320, 763, 48 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 320, 763, 48?

Answer: HCF of 320, 763, 48 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 320, 763, 48 using Euclid's Algorithm?

Answer: For arbitrary numbers 320, 763, 48 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.