Highest Common Factor of 9478, 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 9478, 7230 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9478, 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 9478, 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 9478, 7230 is 2.
HCF(9478, 7230) = 2
HCF of 9478, 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 9478, 7230 is 2.
Highest Common Factor of 9478,7230 is 2
Step 1: Since 9478 > 7230, we apply the division lemma to 9478 and 7230, to get
9478 = 7230 x 1 + 2248
Step 2: Since the reminder 7230 ≠ 0, we apply division lemma to 2248 and 7230, to get
7230 = 2248 x 3 + 486
Step 3: We consider the new divisor 2248 and the new remainder 486, and apply the division lemma to get
2248 = 486 x 4 + 304
We consider the new divisor 486 and the new remainder 304,and apply the division lemma to get
486 = 304 x 1 + 182
We consider the new divisor 304 and the new remainder 182,and apply the division lemma to get
304 = 182 x 1 + 122
We consider the new divisor 182 and the new remainder 122,and apply the division lemma to get
182 = 122 x 1 + 60
We consider the new divisor 122 and the new remainder 60,and apply the division lemma to get
122 = 60 x 2 + 2
We consider the new divisor 60 and the new remainder 2,and apply the division lemma to get
60 = 2 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9478 and 7230 is 2
Notice that 2 = HCF(60,2) = HCF(122,60) = HCF(182,122) = HCF(304,182) = HCF(486,304) = HCF(2248,486) = HCF(7230,2248) = HCF(9478,7230) .
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Frequently Asked Questions on HCF of 9478, 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 9478, 7230?
Answer: HCF of 9478, 7230 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9478, 7230 using Euclid's Algorithm?
Answer: For arbitrary numbers 9478, 7230 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.