Highest Common Factor of 7409, 7178, 80517 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 7409, 7178, 80517 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7409, 7178, 80517 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 7409, 7178, 80517 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 7409, 7178, 80517 is 1.
HCF(7409, 7178, 80517) = 1
HCF of 7409, 7178, 80517 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7409, 7178, 80517 is 1.
Highest Common Factor of 7409,7178,80517 is 1
Step 1: Since 7409 > 7178, we apply the division lemma to 7409 and 7178, to get
7409 = 7178 x 1 + 231
Step 2: Since the reminder 7178 ≠ 0, we apply division lemma to 231 and 7178, to get
7178 = 231 x 31 + 17
Step 3: We consider the new divisor 231 and the new remainder 17, and apply the division lemma to get
231 = 17 x 13 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7409 and 7178 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(231,17) = HCF(7178,231) = HCF(7409,7178) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80517 > 1, we apply the division lemma to 80517 and 1, to get
80517 = 1 x 80517 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80517 is 1
Notice that 1 = HCF(80517,1) .
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Frequently Asked Questions on HCF of 7409, 7178, 80517 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 7409, 7178, 80517?
Answer: HCF of 7409, 7178, 80517 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7409, 7178, 80517 using Euclid's Algorithm?
Answer: For arbitrary numbers 7409, 7178, 80517 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.