Highest Common Factor of 954, 5303, 6062 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 954, 5303, 6062 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 954, 5303, 6062 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 954, 5303, 6062 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 954, 5303, 6062 is 1.

HCF(954, 5303, 6062) = 1

HCF of 954, 5303, 6062 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 954, 5303, 6062 is 1.

Highest Common Factor of 954,5303,6062 using Euclid's algorithm

Highest Common Factor of 954,5303,6062 is 1

Step 1: Since 5303 > 954, we apply the division lemma to 5303 and 954, to get

5303 = 954 x 5 + 533

Step 2: Since the reminder 954 ≠ 0, we apply division lemma to 533 and 954, to get

954 = 533 x 1 + 421

Step 3: We consider the new divisor 533 and the new remainder 421, and apply the division lemma to get

533 = 421 x 1 + 112

We consider the new divisor 421 and the new remainder 112,and apply the division lemma to get

421 = 112 x 3 + 85

We consider the new divisor 112 and the new remainder 85,and apply the division lemma to get

112 = 85 x 1 + 27

We consider the new divisor 85 and the new remainder 27,and apply the division lemma to get

85 = 27 x 3 + 4

We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get

27 = 4 x 6 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 954 and 5303 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(85,27) = HCF(112,85) = HCF(421,112) = HCF(533,421) = HCF(954,533) = HCF(5303,954) .

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

Step 1: Since 6062 > 1, we apply the division lemma to 6062 and 1, to get

6062 = 1 x 6062 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6062 is 1

Notice that 1 = HCF(6062,1) .

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Frequently Asked Questions on HCF of 954, 5303, 6062 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 954, 5303, 6062?

Answer: HCF of 954, 5303, 6062 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 954, 5303, 6062 using Euclid's Algorithm?

Answer: For arbitrary numbers 954, 5303, 6062 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.