Highest Common Factor of 1303, 8390, 42918 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 1303, 8390, 42918 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1303, 8390, 42918 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 1303, 8390, 42918 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 1303, 8390, 42918 is 1.

HCF(1303, 8390, 42918) = 1

HCF of 1303, 8390, 42918 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 1303, 8390, 42918 is 1.

Highest Common Factor of 1303,8390,42918 using Euclid's algorithm

Highest Common Factor of 1303,8390,42918 is 1

Step 1: Since 8390 > 1303, we apply the division lemma to 8390 and 1303, to get

8390 = 1303 x 6 + 572

Step 2: Since the reminder 1303 ≠ 0, we apply division lemma to 572 and 1303, to get

1303 = 572 x 2 + 159

Step 3: We consider the new divisor 572 and the new remainder 159, and apply the division lemma to get

572 = 159 x 3 + 95

We consider the new divisor 159 and the new remainder 95,and apply the division lemma to get

159 = 95 x 1 + 64

We consider the new divisor 95 and the new remainder 64,and apply the division lemma to get

95 = 64 x 1 + 31

We consider the new divisor 64 and the new remainder 31,and apply the division lemma to get

64 = 31 x 2 + 2

We consider the new divisor 31 and the new remainder 2,and apply the division lemma to get

31 = 2 x 15 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 1303 and 8390 is 1

Notice that 1 = HCF(2,1) = HCF(31,2) = HCF(64,31) = HCF(95,64) = HCF(159,95) = HCF(572,159) = HCF(1303,572) = HCF(8390,1303) .

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

Step 1: Since 42918 > 1, we apply the division lemma to 42918 and 1, to get

42918 = 1 x 42918 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 42918 is 1

Notice that 1 = HCF(42918,1) .

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Frequently Asked Questions on HCF of 1303, 8390, 42918 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 1303, 8390, 42918?

Answer: HCF of 1303, 8390, 42918 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1303, 8390, 42918 using Euclid's Algorithm?

Answer: For arbitrary numbers 1303, 8390, 42918 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.