Highest Common Factor of 3421, 2513, 92358 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 3421, 2513, 92358 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3421, 2513, 92358 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 3421, 2513, 92358 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 3421, 2513, 92358 is 1.

HCF(3421, 2513, 92358) = 1

HCF of 3421, 2513, 92358 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 3421, 2513, 92358 is 1.

Highest Common Factor of 3421,2513,92358 using Euclid's algorithm

Highest Common Factor of 3421,2513,92358 is 1

Step 1: Since 3421 > 2513, we apply the division lemma to 3421 and 2513, to get

3421 = 2513 x 1 + 908

Step 2: Since the reminder 2513 ≠ 0, we apply division lemma to 908 and 2513, to get

2513 = 908 x 2 + 697

Step 3: We consider the new divisor 908 and the new remainder 697, and apply the division lemma to get

908 = 697 x 1 + 211

We consider the new divisor 697 and the new remainder 211,and apply the division lemma to get

697 = 211 x 3 + 64

We consider the new divisor 211 and the new remainder 64,and apply the division lemma to get

211 = 64 x 3 + 19

We consider the new divisor 64 and the new remainder 19,and apply the division lemma to get

64 = 19 x 3 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 3421 and 2513 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(64,19) = HCF(211,64) = HCF(697,211) = HCF(908,697) = HCF(2513,908) = HCF(3421,2513) .

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

Step 1: Since 92358 > 1, we apply the division lemma to 92358 and 1, to get

92358 = 1 x 92358 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92358 is 1

Notice that 1 = HCF(92358,1) .

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Frequently Asked Questions on HCF of 3421, 2513, 92358 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 3421, 2513, 92358?

Answer: HCF of 3421, 2513, 92358 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3421, 2513, 92358 using Euclid's Algorithm?

Answer: For arbitrary numbers 3421, 2513, 92358 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.