Highest Common Factor of 9230, 7468 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 9230, 7468 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9230, 7468 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 9230, 7468 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 9230, 7468 is 2.
HCF(9230, 7468) = 2
HCF of 9230, 7468 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9230, 7468 is 2.
Highest Common Factor of 9230,7468 is 2
Step 1: Since 9230 > 7468, we apply the division lemma to 9230 and 7468, to get
9230 = 7468 x 1 + 1762
Step 2: Since the reminder 7468 ≠ 0, we apply division lemma to 1762 and 7468, to get
7468 = 1762 x 4 + 420
Step 3: We consider the new divisor 1762 and the new remainder 420, and apply the division lemma to get
1762 = 420 x 4 + 82
We consider the new divisor 420 and the new remainder 82,and apply the division lemma to get
420 = 82 x 5 + 10
We consider the new divisor 82 and the new remainder 10,and apply the division lemma to get
82 = 10 x 8 + 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 9230 and 7468 is 2
Notice that 2 = HCF(10,2) = HCF(82,10) = HCF(420,82) = HCF(1762,420) = HCF(7468,1762) = HCF(9230,7468) .
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Frequently Asked Questions on HCF of 9230, 7468 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 9230, 7468?
Answer: HCF of 9230, 7468 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9230, 7468 using Euclid's Algorithm?
Answer: For arbitrary numbers 9230, 7468 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.