Highest Common Factor of 281, 171, 244, 728 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 281, 171, 244, 728 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 281, 171, 244, 728 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 281, 171, 244, 728 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 281, 171, 244, 728 is 1.
HCF(281, 171, 244, 728) = 1
HCF of 281, 171, 244, 728 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 281, 171, 244, 728 is 1.
Highest Common Factor of 281,171,244,728 is 1
Step 1: Since 281 > 171, we apply the division lemma to 281 and 171, to get
281 = 171 x 1 + 110
Step 2: Since the reminder 171 ≠ 0, we apply division lemma to 110 and 171, to get
171 = 110 x 1 + 61
Step 3: We consider the new divisor 110 and the new remainder 61, and apply the division lemma to get
110 = 61 x 1 + 49
We consider the new divisor 61 and the new remainder 49,and apply the division lemma to get
61 = 49 x 1 + 12
We consider the new divisor 49 and the new remainder 12,and apply the division lemma to get
49 = 12 x 4 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 281 and 171 is 1
Notice that 1 = HCF(12,1) = HCF(49,12) = HCF(61,49) = HCF(110,61) = HCF(171,110) = HCF(281,171) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 244 > 1, we apply the division lemma to 244 and 1, to get
244 = 1 x 244 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 244 is 1
Notice that 1 = HCF(244,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 728 > 1, we apply the division lemma to 728 and 1, to get
728 = 1 x 728 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 728 is 1
Notice that 1 = HCF(728,1) .
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Frequently Asked Questions on HCF of 281, 171, 244, 728 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 281, 171, 244, 728?
Answer: HCF of 281, 171, 244, 728 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 281, 171, 244, 728 using Euclid's Algorithm?
Answer: For arbitrary numbers 281, 171, 244, 728 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.