Highest Common Factor of 517, 7054, 9052 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 517, 7054, 9052 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 517, 7054, 9052 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 517, 7054, 9052 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 517, 7054, 9052 is 1.
HCF(517, 7054, 9052) = 1
HCF of 517, 7054, 9052 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 517, 7054, 9052 is 1.
Highest Common Factor of 517,7054,9052 is 1
Step 1: Since 7054 > 517, we apply the division lemma to 7054 and 517, to get
7054 = 517 x 13 + 333
Step 2: Since the reminder 517 ≠ 0, we apply division lemma to 333 and 517, to get
517 = 333 x 1 + 184
Step 3: We consider the new divisor 333 and the new remainder 184, and apply the division lemma to get
333 = 184 x 1 + 149
We consider the new divisor 184 and the new remainder 149,and apply the division lemma to get
184 = 149 x 1 + 35
We consider the new divisor 149 and the new remainder 35,and apply the division lemma to get
149 = 35 x 4 + 9
We consider the new divisor 35 and the new remainder 9,and apply the division lemma to get
35 = 9 x 3 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 517 and 7054 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(35,9) = HCF(149,35) = HCF(184,149) = HCF(333,184) = HCF(517,333) = HCF(7054,517) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9052 > 1, we apply the division lemma to 9052 and 1, to get
9052 = 1 x 9052 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9052 is 1
Notice that 1 = HCF(9052,1) .
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Frequently Asked Questions on HCF of 517, 7054, 9052 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 517, 7054, 9052?
Answer: HCF of 517, 7054, 9052 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 517, 7054, 9052 using Euclid's Algorithm?
Answer: For arbitrary numbers 517, 7054, 9052 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.