Highest Common Factor of 172, 4243, 1603 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 172, 4243, 1603 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 172, 4243, 1603 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 172, 4243, 1603 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 172, 4243, 1603 is 1.
HCF(172, 4243, 1603) = 1
HCF of 172, 4243, 1603 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 172, 4243, 1603 is 1.
Highest Common Factor of 172,4243,1603 is 1
Step 1: Since 4243 > 172, we apply the division lemma to 4243 and 172, to get
4243 = 172 x 24 + 115
Step 2: Since the reminder 172 ≠ 0, we apply division lemma to 115 and 172, to get
172 = 115 x 1 + 57
Step 3: We consider the new divisor 115 and the new remainder 57, and apply the division lemma to get
115 = 57 x 2 + 1
We consider the new divisor 57 and the new remainder 1, and apply the division lemma to get
57 = 1 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 172 and 4243 is 1
Notice that 1 = HCF(57,1) = HCF(115,57) = HCF(172,115) = HCF(4243,172) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1603 > 1, we apply the division lemma to 1603 and 1, to get
1603 = 1 x 1603 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1603 is 1
Notice that 1 = HCF(1603,1) .
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Frequently Asked Questions on HCF of 172, 4243, 1603 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 172, 4243, 1603?
Answer: HCF of 172, 4243, 1603 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 172, 4243, 1603 using Euclid's Algorithm?
Answer: For arbitrary numbers 172, 4243, 1603 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
