Highest Common Factor of 7586, 9428 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 7586, 9428 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7586, 9428 is 2 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, 9428 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, 9428 is 2.
HCF(7586, 9428) = 2
HCF of 7586, 9428 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7586, 9428 is 2.
Highest Common Factor of 7586,9428 is 2
Step 1: Since 9428 > 7586, we apply the division lemma to 9428 and 7586, to get
9428 = 7586 x 1 + 1842
Step 2: Since the reminder 7586 ≠ 0, we apply division lemma to 1842 and 7586, to get
7586 = 1842 x 4 + 218
Step 3: We consider the new divisor 1842 and the new remainder 218, and apply the division lemma to get
1842 = 218 x 8 + 98
We consider the new divisor 218 and the new remainder 98,and apply the division lemma to get
218 = 98 x 2 + 22
We consider the new divisor 98 and the new remainder 22,and apply the division lemma to get
98 = 22 x 4 + 10
We consider the new divisor 22 and the new remainder 10,and apply the division lemma to get
22 = 10 x 2 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7586 and 9428 is 2
Notice that 2 = HCF(10,2) = HCF(22,10) = HCF(98,22) = HCF(218,98) = HCF(1842,218) = HCF(7586,1842) = HCF(9428,7586) .
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Frequently Asked Questions on HCF of 7586, 9428 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 7586, 9428?
Answer: HCF of 7586, 9428 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7586, 9428 using Euclid's Algorithm?
Answer: For arbitrary numbers 7586, 9428 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
