Highest Common Factor of 9556, 7230 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 9556, 7230 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9556, 7230 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 9556, 7230 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 9556, 7230 is 2.
HCF(9556, 7230) = 2
HCF of 9556, 7230 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9556, 7230 is 2.
Highest Common Factor of 9556,7230 is 2
Step 1: Since 9556 > 7230, we apply the division lemma to 9556 and 7230, to get
9556 = 7230 x 1 + 2326
Step 2: Since the reminder 7230 ≠ 0, we apply division lemma to 2326 and 7230, to get
7230 = 2326 x 3 + 252
Step 3: We consider the new divisor 2326 and the new remainder 252, and apply the division lemma to get
2326 = 252 x 9 + 58
We consider the new divisor 252 and the new remainder 58,and apply the division lemma to get
252 = 58 x 4 + 20
We consider the new divisor 58 and the new remainder 20,and apply the division lemma to get
58 = 20 x 2 + 18
We consider the new divisor 20 and the new remainder 18,and apply the division lemma to get
20 = 18 x 1 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9556 and 7230 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(58,20) = HCF(252,58) = HCF(2326,252) = HCF(7230,2326) = HCF(9556,7230) .
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Frequently Asked Questions on HCF of 9556, 7230 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 9556, 7230?
Answer: HCF of 9556, 7230 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9556, 7230 using Euclid's Algorithm?
Answer: For arbitrary numbers 9556, 7230 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.