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 2417, 8741 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2417, 8741 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 2417, 8741 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 2417, 8741 is 1.
HCF(2417, 8741) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2417, 8741 is 1.
Step 1: Since 8741 > 2417, we apply the division lemma to 8741 and 2417, to get
8741 = 2417 x 3 + 1490
Step 2: Since the reminder 2417 ≠ 0, we apply division lemma to 1490 and 2417, to get
2417 = 1490 x 1 + 927
Step 3: We consider the new divisor 1490 and the new remainder 927, and apply the division lemma to get
1490 = 927 x 1 + 563
We consider the new divisor 927 and the new remainder 563,and apply the division lemma to get
927 = 563 x 1 + 364
We consider the new divisor 563 and the new remainder 364,and apply the division lemma to get
563 = 364 x 1 + 199
We consider the new divisor 364 and the new remainder 199,and apply the division lemma to get
364 = 199 x 1 + 165
We consider the new divisor 199 and the new remainder 165,and apply the division lemma to get
199 = 165 x 1 + 34
We consider the new divisor 165 and the new remainder 34,and apply the division lemma to get
165 = 34 x 4 + 29
We consider the new divisor 34 and the new remainder 29,and apply the division lemma to get
34 = 29 x 1 + 5
We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get
29 = 5 x 5 + 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 2417 and 8741 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(34,29) = HCF(165,34) = HCF(199,165) = HCF(364,199) = HCF(563,364) = HCF(927,563) = HCF(1490,927) = HCF(2417,1490) = HCF(8741,2417) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 2417, 8741?
Answer: HCF of 2417, 8741 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2417, 8741 using Euclid's Algorithm?
Answer: For arbitrary numbers 2417, 8741 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.