Highest Common Factor of 2347, 2132, 57449 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 2347, 2132, 57449 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2347, 2132, 57449 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 2347, 2132, 57449 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 2347, 2132, 57449 is 1.
HCF(2347, 2132, 57449) = 1
HCF of 2347, 2132, 57449 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2347, 2132, 57449 is 1.
Highest Common Factor of 2347,2132,57449 is 1
Step 1: Since 2347 > 2132, we apply the division lemma to 2347 and 2132, to get
2347 = 2132 x 1 + 215
Step 2: Since the reminder 2132 ≠ 0, we apply division lemma to 215 and 2132, to get
2132 = 215 x 9 + 197
Step 3: We consider the new divisor 215 and the new remainder 197, and apply the division lemma to get
215 = 197 x 1 + 18
We consider the new divisor 197 and the new remainder 18,and apply the division lemma to get
197 = 18 x 10 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2347 and 2132 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(197,18) = HCF(215,197) = HCF(2132,215) = HCF(2347,2132) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 57449 > 1, we apply the division lemma to 57449 and 1, to get
57449 = 1 x 57449 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57449 is 1
Notice that 1 = HCF(57449,1) .
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Frequently Asked Questions on HCF of 2347, 2132, 57449 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 2347, 2132, 57449?
Answer: HCF of 2347, 2132, 57449 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2347, 2132, 57449 using Euclid's Algorithm?
Answer: For arbitrary numbers 2347, 2132, 57449 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.