Highest Common Factor of 934, 7946, 1003 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 934, 7946, 1003 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 934, 7946, 1003 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 934, 7946, 1003 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 934, 7946, 1003 is 1.

HCF(934, 7946, 1003) = 1

HCF of 934, 7946, 1003 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 934, 7946, 1003 is 1.

Highest Common Factor of 934,7946,1003 using Euclid's algorithm

Highest Common Factor of 934,7946,1003 is 1

Step 1: Since 7946 > 934, we apply the division lemma to 7946 and 934, to get

7946 = 934 x 8 + 474

Step 2: Since the reminder 934 ≠ 0, we apply division lemma to 474 and 934, to get

934 = 474 x 1 + 460

Step 3: We consider the new divisor 474 and the new remainder 460, and apply the division lemma to get

474 = 460 x 1 + 14

We consider the new divisor 460 and the new remainder 14,and apply the division lemma to get

460 = 14 x 32 + 12

We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get

14 = 12 x 1 + 2

We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get

12 = 2 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 934 and 7946 is 2

Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(460,14) = HCF(474,460) = HCF(934,474) = HCF(7946,934) .

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

Step 1: Since 1003 > 2, we apply the division lemma to 1003 and 2, to get

1003 = 2 x 501 + 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 1003 is 1

Notice that 1 = HCF(2,1) = HCF(1003,2) .

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Frequently Asked Questions on HCF of 934, 7946, 1003 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 934, 7946, 1003?

Answer: HCF of 934, 7946, 1003 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 934, 7946, 1003 using Euclid's Algorithm?

Answer: For arbitrary numbers 934, 7946, 1003 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.