Highest Common Factor of 6226, 4310, 59901 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 6226, 4310, 59901 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6226, 4310, 59901 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 6226, 4310, 59901 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 6226, 4310, 59901 is 1.

HCF(6226, 4310, 59901) = 1

HCF of 6226, 4310, 59901 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 6226, 4310, 59901 is 1.

Highest Common Factor of 6226,4310,59901 using Euclid's algorithm

Highest Common Factor of 6226,4310,59901 is 1

Step 1: Since 6226 > 4310, we apply the division lemma to 6226 and 4310, to get

6226 = 4310 x 1 + 1916

Step 2: Since the reminder 4310 ≠ 0, we apply division lemma to 1916 and 4310, to get

4310 = 1916 x 2 + 478

Step 3: We consider the new divisor 1916 and the new remainder 478, and apply the division lemma to get

1916 = 478 x 4 + 4

We consider the new divisor 478 and the new remainder 4,and apply the division lemma to get

478 = 4 x 119 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6226 and 4310 is 2

Notice that 2 = HCF(4,2) = HCF(478,4) = HCF(1916,478) = HCF(4310,1916) = HCF(6226,4310) .

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

Step 1: Since 59901 > 2, we apply the division lemma to 59901 and 2, to get

59901 = 2 x 29950 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 59901 is 1

Notice that 1 = HCF(2,1) = HCF(59901,2) .

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Frequently Asked Questions on HCF of 6226, 4310, 59901 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 6226, 4310, 59901?

Answer: HCF of 6226, 4310, 59901 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6226, 4310, 59901 using Euclid's Algorithm?

Answer: For arbitrary numbers 6226, 4310, 59901 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.