Highest Common Factor of 9940, 1791, 35695 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 9940, 1791, 35695 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9940, 1791, 35695 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 9940, 1791, 35695 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 9940, 1791, 35695 is 1.

HCF(9940, 1791, 35695) = 1

HCF of 9940, 1791, 35695 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 9940, 1791, 35695 is 1.

Highest Common Factor of 9940,1791,35695 using Euclid's algorithm

Highest Common Factor of 9940,1791,35695 is 1

Step 1: Since 9940 > 1791, we apply the division lemma to 9940 and 1791, to get

9940 = 1791 x 5 + 985

Step 2: Since the reminder 1791 ≠ 0, we apply division lemma to 985 and 1791, to get

1791 = 985 x 1 + 806

Step 3: We consider the new divisor 985 and the new remainder 806, and apply the division lemma to get

985 = 806 x 1 + 179

We consider the new divisor 806 and the new remainder 179,and apply the division lemma to get

806 = 179 x 4 + 90

We consider the new divisor 179 and the new remainder 90,and apply the division lemma to get

179 = 90 x 1 + 89

We consider the new divisor 90 and the new remainder 89,and apply the division lemma to get

90 = 89 x 1 + 1

We consider the new divisor 89 and the new remainder 1,and apply the division lemma to get

89 = 1 x 89 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9940 and 1791 is 1

Notice that 1 = HCF(89,1) = HCF(90,89) = HCF(179,90) = HCF(806,179) = HCF(985,806) = HCF(1791,985) = HCF(9940,1791) .

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

Step 1: Since 35695 > 1, we apply the division lemma to 35695 and 1, to get

35695 = 1 x 35695 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 35695 is 1

Notice that 1 = HCF(35695,1) .

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Frequently Asked Questions on HCF of 9940, 1791, 35695 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 9940, 1791, 35695?

Answer: HCF of 9940, 1791, 35695 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9940, 1791, 35695 using Euclid's Algorithm?

Answer: For arbitrary numbers 9940, 1791, 35695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.