Highest Common Factor of 3003, 7259, 30584 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 3003, 7259, 30584 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3003, 7259, 30584 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 3003, 7259, 30584 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 3003, 7259, 30584 is 1.
HCF(3003, 7259, 30584) = 1
HCF of 3003, 7259, 30584 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3003, 7259, 30584 is 1.
Highest Common Factor of 3003,7259,30584 is 1
Step 1: Since 7259 > 3003, we apply the division lemma to 7259 and 3003, to get
7259 = 3003 x 2 + 1253
Step 2: Since the reminder 3003 ≠ 0, we apply division lemma to 1253 and 3003, to get
3003 = 1253 x 2 + 497
Step 3: We consider the new divisor 1253 and the new remainder 497, and apply the division lemma to get
1253 = 497 x 2 + 259
We consider the new divisor 497 and the new remainder 259,and apply the division lemma to get
497 = 259 x 1 + 238
We consider the new divisor 259 and the new remainder 238,and apply the division lemma to get
259 = 238 x 1 + 21
We consider the new divisor 238 and the new remainder 21,and apply the division lemma to get
238 = 21 x 11 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 3003 and 7259 is 7
Notice that 7 = HCF(21,7) = HCF(238,21) = HCF(259,238) = HCF(497,259) = HCF(1253,497) = HCF(3003,1253) = HCF(7259,3003) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 30584 > 7, we apply the division lemma to 30584 and 7, to get
30584 = 7 x 4369 + 1
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 1 and 7, to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 30584 is 1
Notice that 1 = HCF(7,1) = HCF(30584,7) .
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Frequently Asked Questions on HCF of 3003, 7259, 30584 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 3003, 7259, 30584?
Answer: HCF of 3003, 7259, 30584 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3003, 7259, 30584 using Euclid's Algorithm?
Answer: For arbitrary numbers 3003, 7259, 30584 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.