Highest Common Factor of 273, 221, 169 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, 221, 169 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 273, 221, 169 is 13 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, 221, 169 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, 221, 169 is 13.
HCF(273, 221, 169) = 13
HCF of 273, 221, 169 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, 221, 169 is 13.
Highest Common Factor of 273,221,169 is 13
Step 1: Since 273 > 221, we apply the division lemma to 273 and 221, to get
273 = 221 x 1 + 52
Step 2: Since the reminder 221 ≠ 0, we apply division lemma to 52 and 221, to get
221 = 52 x 4 + 13
Step 3: We consider the new divisor 52 and the new remainder 13, and apply the division lemma to get
52 = 13 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 273 and 221 is 13
Notice that 13 = HCF(52,13) = HCF(221,52) = HCF(273,221) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 169 > 13, we apply the division lemma to 169 and 13, to get
169 = 13 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 13 and 169 is 13
Notice that 13 = HCF(169,13) .
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Frequently Asked Questions on HCF of 273, 221, 169 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, 221, 169?
Answer: HCF of 273, 221, 169 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 273, 221, 169 using Euclid's Algorithm?
Answer: For arbitrary numbers 273, 221, 169 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.