Highest Common Factor of 6275, 8218 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 6275, 8218 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6275, 8218 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 6275, 8218 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 6275, 8218 is 1.

HCF(6275, 8218) = 1

HCF of 6275, 8218 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 6275, 8218 is 1.

Highest Common Factor of 6275,8218 using Euclid's algorithm

Highest Common Factor of 6275,8218 is 1

Step 1: Since 8218 > 6275, we apply the division lemma to 8218 and 6275, to get

8218 = 6275 x 1 + 1943

Step 2: Since the reminder 6275 ≠ 0, we apply division lemma to 1943 and 6275, to get

6275 = 1943 x 3 + 446

Step 3: We consider the new divisor 1943 and the new remainder 446, and apply the division lemma to get

1943 = 446 x 4 + 159

We consider the new divisor 446 and the new remainder 159,and apply the division lemma to get

446 = 159 x 2 + 128

We consider the new divisor 159 and the new remainder 128,and apply the division lemma to get

159 = 128 x 1 + 31

We consider the new divisor 128 and the new remainder 31,and apply the division lemma to get

128 = 31 x 4 + 4

We consider the new divisor 31 and the new remainder 4,and apply the division lemma to get

31 = 4 x 7 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6275 and 8218 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(128,31) = HCF(159,128) = HCF(446,159) = HCF(1943,446) = HCF(6275,1943) = HCF(8218,6275) .

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Frequently Asked Questions on HCF of 6275, 8218 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 6275, 8218?

Answer: HCF of 6275, 8218 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6275, 8218 using Euclid's Algorithm?

Answer: For arbitrary numbers 6275, 8218 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.