Highest Common Factor of 241, 42388 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 241, 42388 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 241, 42388 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 241, 42388 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 241, 42388 is 1.
HCF(241, 42388) = 1
HCF of 241, 42388 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 241, 42388 is 1.
Highest Common Factor of 241,42388 is 1
Step 1: Since 42388 > 241, we apply the division lemma to 42388 and 241, to get
42388 = 241 x 175 + 213
Step 2: Since the reminder 241 ≠ 0, we apply division lemma to 213 and 241, to get
241 = 213 x 1 + 28
Step 3: We consider the new divisor 213 and the new remainder 28, and apply the division lemma to get
213 = 28 x 7 + 17
We consider the new divisor 28 and the new remainder 17,and apply the division lemma to get
28 = 17 x 1 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 241 and 42388 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(28,17) = HCF(213,28) = HCF(241,213) = HCF(42388,241) .
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Frequently Asked Questions on HCF of 241, 42388 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 241, 42388?
Answer: HCF of 241, 42388 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 241, 42388 using Euclid's Algorithm?
Answer: For arbitrary numbers 241, 42388 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
