Highest Common Factor of 3704, 9826, 98792 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 3704, 9826, 98792 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 3704, 9826, 98792 is 2 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 3704, 9826, 98792 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 3704, 9826, 98792 is 2.

HCF(3704, 9826, 98792) = 2

HCF of 3704, 9826, 98792 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 3704, 9826, 98792 is 2.

Highest Common Factor of 3704,9826,98792 using Euclid's algorithm

Highest Common Factor of 3704,9826,98792 is 2

Step 1: Since 9826 > 3704, we apply the division lemma to 9826 and 3704, to get

9826 = 3704 x 2 + 2418

Step 2: Since the reminder 3704 ≠ 0, we apply division lemma to 2418 and 3704, to get

3704 = 2418 x 1 + 1286

Step 3: We consider the new divisor 2418 and the new remainder 1286, and apply the division lemma to get

2418 = 1286 x 1 + 1132

We consider the new divisor 1286 and the new remainder 1132,and apply the division lemma to get

1286 = 1132 x 1 + 154

We consider the new divisor 1132 and the new remainder 154,and apply the division lemma to get

1132 = 154 x 7 + 54

We consider the new divisor 154 and the new remainder 54,and apply the division lemma to get

154 = 54 x 2 + 46

We consider the new divisor 54 and the new remainder 46,and apply the division lemma to get

54 = 46 x 1 + 8

We consider the new divisor 46 and the new remainder 8,and apply the division lemma to get

46 = 8 x 5 + 6

We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get

8 = 6 x 1 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3704 and 9826 is 2

Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(46,8) = HCF(54,46) = HCF(154,54) = HCF(1132,154) = HCF(1286,1132) = HCF(2418,1286) = HCF(3704,2418) = HCF(9826,3704) .

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

Step 1: Since 98792 > 2, we apply the division lemma to 98792 and 2, to get

98792 = 2 x 49396 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 98792 is 2

Notice that 2 = HCF(98792,2) .

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Frequently Asked Questions on HCF of 3704, 9826, 98792 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 3704, 9826, 98792?

Answer: HCF of 3704, 9826, 98792 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3704, 9826, 98792 using Euclid's Algorithm?

Answer: For arbitrary numbers 3704, 9826, 98792 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.