Highest Common Factor of 221, 663, 255 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 221, 663, 255 i.e. 17 the largest integer that leaves a remainder zero for all numbers.
HCF of 221, 663, 255 is 17 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 221, 663, 255 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 221, 663, 255 is 17.
HCF(221, 663, 255) = 17
HCF of 221, 663, 255 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 221, 663, 255 is 17.
Highest Common Factor of 221,663,255 is 17
Step 1: Since 663 > 221, we apply the division lemma to 663 and 221, to get
663 = 221 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 221, the HCF of 221 and 663 is 221
Notice that 221 = HCF(663,221) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 255 > 221, we apply the division lemma to 255 and 221, to get
255 = 221 x 1 + 34
Step 2: Since the reminder 221 ≠ 0, we apply division lemma to 34 and 221, to get
221 = 34 x 6 + 17
Step 3: We consider the new divisor 34 and the new remainder 17, and apply the division lemma to get
34 = 17 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 221 and 255 is 17
Notice that 17 = HCF(34,17) = HCF(221,34) = HCF(255,221) .
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Frequently Asked Questions on HCF of 221, 663, 255 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 221, 663, 255?
Answer: HCF of 221, 663, 255 is 17 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 221, 663, 255 using Euclid's Algorithm?
Answer: For arbitrary numbers 221, 663, 255 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.