Highest Common Factor of 9187, 7379, 30464 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 9187, 7379, 30464 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9187, 7379, 30464 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 9187, 7379, 30464 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 9187, 7379, 30464 is 1.
HCF(9187, 7379, 30464) = 1
HCF of 9187, 7379, 30464 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9187, 7379, 30464 is 1.
Highest Common Factor of 9187,7379,30464 is 1
Step 1: Since 9187 > 7379, we apply the division lemma to 9187 and 7379, to get
9187 = 7379 x 1 + 1808
Step 2: Since the reminder 7379 ≠ 0, we apply division lemma to 1808 and 7379, to get
7379 = 1808 x 4 + 147
Step 3: We consider the new divisor 1808 and the new remainder 147, and apply the division lemma to get
1808 = 147 x 12 + 44
We consider the new divisor 147 and the new remainder 44,and apply the division lemma to get
147 = 44 x 3 + 15
We consider the new divisor 44 and the new remainder 15,and apply the division lemma to get
44 = 15 x 2 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9187 and 7379 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(44,15) = HCF(147,44) = HCF(1808,147) = HCF(7379,1808) = HCF(9187,7379) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 30464 > 1, we apply the division lemma to 30464 and 1, to get
30464 = 1 x 30464 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 30464 is 1
Notice that 1 = HCF(30464,1) .
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Frequently Asked Questions on HCF of 9187, 7379, 30464 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 9187, 7379, 30464?
Answer: HCF of 9187, 7379, 30464 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9187, 7379, 30464 using Euclid's Algorithm?
Answer: For arbitrary numbers 9187, 7379, 30464 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
