Highest Common Factor of 7168, 7461, 54399 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 7168, 7461, 54399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7168, 7461, 54399 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 7168, 7461, 54399 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 7168, 7461, 54399 is 1.
HCF(7168, 7461, 54399) = 1
HCF of 7168, 7461, 54399 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7168, 7461, 54399 is 1.
Highest Common Factor of 7168,7461,54399 is 1
Step 1: Since 7461 > 7168, we apply the division lemma to 7461 and 7168, to get
7461 = 7168 x 1 + 293
Step 2: Since the reminder 7168 ≠ 0, we apply division lemma to 293 and 7168, to get
7168 = 293 x 24 + 136
Step 3: We consider the new divisor 293 and the new remainder 136, and apply the division lemma to get
293 = 136 x 2 + 21
We consider the new divisor 136 and the new remainder 21,and apply the division lemma to get
136 = 21 x 6 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7168 and 7461 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(136,21) = HCF(293,136) = HCF(7168,293) = HCF(7461,7168) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 54399 > 1, we apply the division lemma to 54399 and 1, to get
54399 = 1 x 54399 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54399 is 1
Notice that 1 = HCF(54399,1) .
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Frequently Asked Questions on HCF of 7168, 7461, 54399 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 7168, 7461, 54399?
Answer: HCF of 7168, 7461, 54399 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7168, 7461, 54399 using Euclid's Algorithm?
Answer: For arbitrary numbers 7168, 7461, 54399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
