Highest Common Factor of 8417, 1241 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 8417, 1241 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8417, 1241 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 8417, 1241 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 8417, 1241 is 1.

HCF(8417, 1241) = 1

HCF of 8417, 1241 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 8417, 1241 is 1.

Highest Common Factor of 8417,1241 using Euclid's algorithm

Highest Common Factor of 8417,1241 is 1

Step 1: Since 8417 > 1241, we apply the division lemma to 8417 and 1241, to get

8417 = 1241 x 6 + 971

Step 2: Since the reminder 1241 ≠ 0, we apply division lemma to 971 and 1241, to get

1241 = 971 x 1 + 270

Step 3: We consider the new divisor 971 and the new remainder 270, and apply the division lemma to get

971 = 270 x 3 + 161

We consider the new divisor 270 and the new remainder 161,and apply the division lemma to get

270 = 161 x 1 + 109

We consider the new divisor 161 and the new remainder 109,and apply the division lemma to get

161 = 109 x 1 + 52

We consider the new divisor 109 and the new remainder 52,and apply the division lemma to get

109 = 52 x 2 + 5

We consider the new divisor 52 and the new remainder 5,and apply the division lemma to get

52 = 5 x 10 + 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 8417 and 1241 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(52,5) = HCF(109,52) = HCF(161,109) = HCF(270,161) = HCF(971,270) = HCF(1241,971) = HCF(8417,1241) .

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Frequently Asked Questions on HCF of 8417, 1241 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 8417, 1241?

Answer: HCF of 8417, 1241 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8417, 1241 using Euclid's Algorithm?

Answer: For arbitrary numbers 8417, 1241 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.