Highest Common Factor of 289, 75039 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 289, 75039 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 289, 75039 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 289, 75039 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 289, 75039 is 1.
HCF(289, 75039) = 1
HCF of 289, 75039 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 289, 75039 is 1.
Highest Common Factor of 289,75039 is 1
Step 1: Since 75039 > 289, we apply the division lemma to 75039 and 289, to get
75039 = 289 x 259 + 188
Step 2: Since the reminder 289 ≠ 0, we apply division lemma to 188 and 289, to get
289 = 188 x 1 + 101
Step 3: We consider the new divisor 188 and the new remainder 101, and apply the division lemma to get
188 = 101 x 1 + 87
We consider the new divisor 101 and the new remainder 87,and apply the division lemma to get
101 = 87 x 1 + 14
We consider the new divisor 87 and the new remainder 14,and apply the division lemma to get
87 = 14 x 6 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 289 and 75039 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(87,14) = HCF(101,87) = HCF(188,101) = HCF(289,188) = HCF(75039,289) .
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Frequently Asked Questions on HCF of 289, 75039 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 289, 75039?
Answer: HCF of 289, 75039 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 289, 75039 using Euclid's Algorithm?
Answer: For arbitrary numbers 289, 75039 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.