Highest Common Factor of 1726, 1973, 18298 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 1726, 1973, 18298 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1726, 1973, 18298 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 1726, 1973, 18298 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 1726, 1973, 18298 is 1.
HCF(1726, 1973, 18298) = 1
HCF of 1726, 1973, 18298 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1726, 1973, 18298 is 1.
Highest Common Factor of 1726,1973,18298 is 1
Step 1: Since 1973 > 1726, we apply the division lemma to 1973 and 1726, to get
1973 = 1726 x 1 + 247
Step 2: Since the reminder 1726 ≠ 0, we apply division lemma to 247 and 1726, to get
1726 = 247 x 6 + 244
Step 3: We consider the new divisor 247 and the new remainder 244, and apply the division lemma to get
247 = 244 x 1 + 3
We consider the new divisor 244 and the new remainder 3,and apply the division lemma to get
244 = 3 x 81 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1726 and 1973 is 1
Notice that 1 = HCF(3,1) = HCF(244,3) = HCF(247,244) = HCF(1726,247) = HCF(1973,1726) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 18298 > 1, we apply the division lemma to 18298 and 1, to get
18298 = 1 x 18298 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 18298 is 1
Notice that 1 = HCF(18298,1) .
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Frequently Asked Questions on HCF of 1726, 1973, 18298 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 1726, 1973, 18298?
Answer: HCF of 1726, 1973, 18298 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1726, 1973, 18298 using Euclid's Algorithm?
Answer: For arbitrary numbers 1726, 1973, 18298 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.