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 9258, 7541, 65449 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9258, 7541, 65449 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 9258, 7541, 65449 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 9258, 7541, 65449 is 1.
HCF(9258, 7541, 65449) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9258, 7541, 65449 is 1.
Step 1: Since 9258 > 7541, we apply the division lemma to 9258 and 7541, to get
9258 = 7541 x 1 + 1717
Step 2: Since the reminder 7541 ≠ 0, we apply division lemma to 1717 and 7541, to get
7541 = 1717 x 4 + 673
Step 3: We consider the new divisor 1717 and the new remainder 673, and apply the division lemma to get
1717 = 673 x 2 + 371
We consider the new divisor 673 and the new remainder 371,and apply the division lemma to get
673 = 371 x 1 + 302
We consider the new divisor 371 and the new remainder 302,and apply the division lemma to get
371 = 302 x 1 + 69
We consider the new divisor 302 and the new remainder 69,and apply the division lemma to get
302 = 69 x 4 + 26
We consider the new divisor 69 and the new remainder 26,and apply the division lemma to get
69 = 26 x 2 + 17
We consider the new divisor 26 and the new remainder 17,and apply the division lemma to get
26 = 17 x 1 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9258 and 7541 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(26,17) = HCF(69,26) = HCF(302,69) = HCF(371,302) = HCF(673,371) = HCF(1717,673) = HCF(7541,1717) = HCF(9258,7541) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 65449 > 1, we apply the division lemma to 65449 and 1, to get
65449 = 1 x 65449 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 65449 is 1
Notice that 1 = HCF(65449,1) .
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 9258, 7541, 65449?
Answer: HCF of 9258, 7541, 65449 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9258, 7541, 65449 using Euclid's Algorithm?
Answer: For arbitrary numbers 9258, 7541, 65449 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.