Highest Common Factor of 318, 548, 347 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 318, 548, 347 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 318, 548, 347 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 318, 548, 347 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 318, 548, 347 is 1.

HCF(318, 548, 347) = 1

HCF of 318, 548, 347 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 318, 548, 347 is 1.

Highest Common Factor of 318,548,347 using Euclid's algorithm

Highest Common Factor of 318,548,347 is 1

Step 1: Since 548 > 318, we apply the division lemma to 548 and 318, to get

548 = 318 x 1 + 230

Step 2: Since the reminder 318 ≠ 0, we apply division lemma to 230 and 318, to get

318 = 230 x 1 + 88

Step 3: We consider the new divisor 230 and the new remainder 88, and apply the division lemma to get

230 = 88 x 2 + 54

We consider the new divisor 88 and the new remainder 54,and apply the division lemma to get

88 = 54 x 1 + 34

We consider the new divisor 54 and the new remainder 34,and apply the division lemma to get

54 = 34 x 1 + 20

We consider the new divisor 34 and the new remainder 20,and apply the division lemma to get

34 = 20 x 1 + 14

We consider the new divisor 20 and the new remainder 14,and apply the division lemma to get

20 = 14 x 1 + 6

We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get

14 = 6 x 2 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 318 and 548 is 2

Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(20,14) = HCF(34,20) = HCF(54,34) = HCF(88,54) = HCF(230,88) = HCF(318,230) = HCF(548,318) .

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

Step 1: Since 347 > 2, we apply the division lemma to 347 and 2, to get

347 = 2 x 173 + 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 347 is 1

Notice that 1 = HCF(2,1) = HCF(347,2) .

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Frequently Asked Questions on HCF of 318, 548, 347 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 318, 548, 347?

Answer: HCF of 318, 548, 347 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 318, 548, 347 using Euclid's Algorithm?

Answer: For arbitrary numbers 318, 548, 347 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.