Highest Common Factor of 273, 506, 544, 72 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 273, 506, 544, 72 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 273, 506, 544, 72 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 273, 506, 544, 72 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 273, 506, 544, 72 is 1.
HCF(273, 506, 544, 72) = 1
HCF of 273, 506, 544, 72 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 273, 506, 544, 72 is 1.
Highest Common Factor of 273,506,544,72 is 1
Step 1: Since 506 > 273, we apply the division lemma to 506 and 273, to get
506 = 273 x 1 + 233
Step 2: Since the reminder 273 ≠ 0, we apply division lemma to 233 and 273, to get
273 = 233 x 1 + 40
Step 3: We consider the new divisor 233 and the new remainder 40, and apply the division lemma to get
233 = 40 x 5 + 33
We consider the new divisor 40 and the new remainder 33,and apply the division lemma to get
40 = 33 x 1 + 7
We consider the new divisor 33 and the new remainder 7,and apply the division lemma to get
33 = 7 x 4 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 273 and 506 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(33,7) = HCF(40,33) = HCF(233,40) = HCF(273,233) = HCF(506,273) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 544 > 1, we apply the division lemma to 544 and 1, to get
544 = 1 x 544 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 544 is 1
Notice that 1 = HCF(544,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 72 > 1, we apply the division lemma to 72 and 1, to get
72 = 1 x 72 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72 is 1
Notice that 1 = HCF(72,1) .
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Frequently Asked Questions on HCF of 273, 506, 544, 72 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 273, 506, 544, 72?
Answer: HCF of 273, 506, 544, 72 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 273, 506, 544, 72 using Euclid's Algorithm?
Answer: For arbitrary numbers 273, 506, 544, 72 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.