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 7586, 9661 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7586, 9661 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 7586, 9661 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 7586, 9661 is 1.
HCF(7586, 9661) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7586, 9661 is 1.
Step 1: Since 9661 > 7586, we apply the division lemma to 9661 and 7586, to get
9661 = 7586 x 1 + 2075
Step 2: Since the reminder 7586 ≠ 0, we apply division lemma to 2075 and 7586, to get
7586 = 2075 x 3 + 1361
Step 3: We consider the new divisor 2075 and the new remainder 1361, and apply the division lemma to get
2075 = 1361 x 1 + 714
We consider the new divisor 1361 and the new remainder 714,and apply the division lemma to get
1361 = 714 x 1 + 647
We consider the new divisor 714 and the new remainder 647,and apply the division lemma to get
714 = 647 x 1 + 67
We consider the new divisor 647 and the new remainder 67,and apply the division lemma to get
647 = 67 x 9 + 44
We consider the new divisor 67 and the new remainder 44,and apply the division lemma to get
67 = 44 x 1 + 23
We consider the new divisor 44 and the new remainder 23,and apply the division lemma to get
44 = 23 x 1 + 21
We consider the new divisor 23 and the new remainder 21,and apply the division lemma to get
23 = 21 x 1 + 2
We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get
21 = 2 x 10 + 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 7586 and 9661 is 1
Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(23,21) = HCF(44,23) = HCF(67,44) = HCF(647,67) = HCF(714,647) = HCF(1361,714) = HCF(2075,1361) = HCF(7586,2075) = HCF(9661,7586) .
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 7586, 9661?
Answer: HCF of 7586, 9661 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7586, 9661 using Euclid's Algorithm?
Answer: For arbitrary numbers 7586, 9661 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.