Highest Common Factor of 703, 9417, 9840 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 703, 9417, 9840 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 703, 9417, 9840 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 703, 9417, 9840 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 703, 9417, 9840 is 1.

HCF(703, 9417, 9840) = 1

HCF of 703, 9417, 9840 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 703, 9417, 9840 is 1.

Highest Common Factor of 703,9417,9840 using Euclid's algorithm

Highest Common Factor of 703,9417,9840 is 1

Step 1: Since 9417 > 703, we apply the division lemma to 9417 and 703, to get

9417 = 703 x 13 + 278

Step 2: Since the reminder 703 ≠ 0, we apply division lemma to 278 and 703, to get

703 = 278 x 2 + 147

Step 3: We consider the new divisor 278 and the new remainder 147, and apply the division lemma to get

278 = 147 x 1 + 131

We consider the new divisor 147 and the new remainder 131,and apply the division lemma to get

147 = 131 x 1 + 16

We consider the new divisor 131 and the new remainder 16,and apply the division lemma to get

131 = 16 x 8 + 3

We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get

16 = 3 x 5 + 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 703 and 9417 is 1

Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(131,16) = HCF(147,131) = HCF(278,147) = HCF(703,278) = HCF(9417,703) .

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

Step 1: Since 9840 > 1, we apply the division lemma to 9840 and 1, to get

9840 = 1 x 9840 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9840 is 1

Notice that 1 = HCF(9840,1) .

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Frequently Asked Questions on HCF of 703, 9417, 9840 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 703, 9417, 9840?

Answer: HCF of 703, 9417, 9840 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 703, 9417, 9840 using Euclid's Algorithm?

Answer: For arbitrary numbers 703, 9417, 9840 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.