Highest Common Factor of 259, 3088 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 259, 3088 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 259, 3088 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 259, 3088 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 259, 3088 is 1.
HCF(259, 3088) = 1
HCF of 259, 3088 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 259, 3088 is 1.
Highest Common Factor of 259,3088 is 1
Step 1: Since 3088 > 259, we apply the division lemma to 3088 and 259, to get
3088 = 259 x 11 + 239
Step 2: Since the reminder 259 ≠ 0, we apply division lemma to 239 and 259, to get
259 = 239 x 1 + 20
Step 3: We consider the new divisor 239 and the new remainder 20, and apply the division lemma to get
239 = 20 x 11 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 259 and 3088 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(239,20) = HCF(259,239) = HCF(3088,259) .
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Frequently Asked Questions on HCF of 259, 3088 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 259, 3088?
Answer: HCF of 259, 3088 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 259, 3088 using Euclid's Algorithm?
Answer: For arbitrary numbers 259, 3088 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.