Highest Common Factor of 4475, 6209 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 4475, 6209 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4475, 6209 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 4475, 6209 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 4475, 6209 is 1.

HCF(4475, 6209) = 1

HCF of 4475, 6209 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 4475, 6209 is 1.

Highest Common Factor of 4475,6209 using Euclid's algorithm

Highest Common Factor of 4475,6209 is 1

Step 1: Since 6209 > 4475, we apply the division lemma to 6209 and 4475, to get

6209 = 4475 x 1 + 1734

Step 2: Since the reminder 4475 ≠ 0, we apply division lemma to 1734 and 4475, to get

4475 = 1734 x 2 + 1007

Step 3: We consider the new divisor 1734 and the new remainder 1007, and apply the division lemma to get

1734 = 1007 x 1 + 727

We consider the new divisor 1007 and the new remainder 727,and apply the division lemma to get

1007 = 727 x 1 + 280

We consider the new divisor 727 and the new remainder 280,and apply the division lemma to get

727 = 280 x 2 + 167

We consider the new divisor 280 and the new remainder 167,and apply the division lemma to get

280 = 167 x 1 + 113

We consider the new divisor 167 and the new remainder 113,and apply the division lemma to get

167 = 113 x 1 + 54

We consider the new divisor 113 and the new remainder 54,and apply the division lemma to get

113 = 54 x 2 + 5

We consider the new divisor 54 and the new remainder 5,and apply the division lemma to get

54 = 5 x 10 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4475 and 6209 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(54,5) = HCF(113,54) = HCF(167,113) = HCF(280,167) = HCF(727,280) = HCF(1007,727) = HCF(1734,1007) = HCF(4475,1734) = HCF(6209,4475) .

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Frequently Asked Questions on HCF of 4475, 6209 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 4475, 6209?

Answer: HCF of 4475, 6209 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4475, 6209 using Euclid's Algorithm?

Answer: For arbitrary numbers 4475, 6209 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.