Highest Common Factor of 2422, 3313, 34390 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 2422, 3313, 34390 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2422, 3313, 34390 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 2422, 3313, 34390 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 2422, 3313, 34390 is 1.

HCF(2422, 3313, 34390) = 1

HCF of 2422, 3313, 34390 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 2422, 3313, 34390 is 1.

Highest Common Factor of 2422,3313,34390 using Euclid's algorithm

Highest Common Factor of 2422,3313,34390 is 1

Step 1: Since 3313 > 2422, we apply the division lemma to 3313 and 2422, to get

3313 = 2422 x 1 + 891

Step 2: Since the reminder 2422 ≠ 0, we apply division lemma to 891 and 2422, to get

2422 = 891 x 2 + 640

Step 3: We consider the new divisor 891 and the new remainder 640, and apply the division lemma to get

891 = 640 x 1 + 251

We consider the new divisor 640 and the new remainder 251,and apply the division lemma to get

640 = 251 x 2 + 138

We consider the new divisor 251 and the new remainder 138,and apply the division lemma to get

251 = 138 x 1 + 113

We consider the new divisor 138 and the new remainder 113,and apply the division lemma to get

138 = 113 x 1 + 25

We consider the new divisor 113 and the new remainder 25,and apply the division lemma to get

113 = 25 x 4 + 13

We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get

25 = 13 x 1 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2422 and 3313 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(113,25) = HCF(138,113) = HCF(251,138) = HCF(640,251) = HCF(891,640) = HCF(2422,891) = HCF(3313,2422) .

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

Step 1: Since 34390 > 1, we apply the division lemma to 34390 and 1, to get

34390 = 1 x 34390 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 34390 is 1

Notice that 1 = HCF(34390,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 2422, 3313, 34390 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 2422, 3313, 34390?

Answer: HCF of 2422, 3313, 34390 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2422, 3313, 34390 using Euclid's Algorithm?

Answer: For arbitrary numbers 2422, 3313, 34390 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.