Highest Common Factor of 330, 548, 320, 653 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 330, 548, 320, 653 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 330, 548, 320, 653 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 330, 548, 320, 653 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 330, 548, 320, 653 is 1.

HCF(330, 548, 320, 653) = 1

HCF of 330, 548, 320, 653 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 330, 548, 320, 653 is 1.

Highest Common Factor of 330,548,320,653 using Euclid's algorithm

Highest Common Factor of 330,548,320,653 is 1

Step 1: Since 548 > 330, we apply the division lemma to 548 and 330, to get

548 = 330 x 1 + 218

Step 2: Since the reminder 330 ≠ 0, we apply division lemma to 218 and 330, to get

330 = 218 x 1 + 112

Step 3: We consider the new divisor 218 and the new remainder 112, and apply the division lemma to get

218 = 112 x 1 + 106

We consider the new divisor 112 and the new remainder 106,and apply the division lemma to get

112 = 106 x 1 + 6

We consider the new divisor 106 and the new remainder 6,and apply the division lemma to get

106 = 6 x 17 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 330 and 548 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(106,6) = HCF(112,106) = HCF(218,112) = HCF(330,218) = HCF(548,330) .

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

Step 1: Since 320 > 2, we apply the division lemma to 320 and 2, to get

320 = 2 x 160 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 320 is 2

Notice that 2 = HCF(320,2) .

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

Step 1: Since 653 > 2, we apply the division lemma to 653 and 2, to get

653 = 2 x 326 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 653 is 1

Notice that 1 = HCF(2,1) = HCF(653,2) .

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Frequently Asked Questions on HCF of 330, 548, 320, 653 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 330, 548, 320, 653?

Answer: HCF of 330, 548, 320, 653 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 330, 548, 320, 653 using Euclid's Algorithm?

Answer: For arbitrary numbers 330, 548, 320, 653 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.