Highest Common Factor of 255, 609, 890 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 255, 609, 890 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 255, 609, 890 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 255, 609, 890 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 255, 609, 890 is 1.
HCF(255, 609, 890) = 1
HCF of 255, 609, 890 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 255, 609, 890 is 1.
Highest Common Factor of 255,609,890 is 1
Step 1: Since 609 > 255, we apply the division lemma to 609 and 255, to get
609 = 255 x 2 + 99
Step 2: Since the reminder 255 ≠ 0, we apply division lemma to 99 and 255, to get
255 = 99 x 2 + 57
Step 3: We consider the new divisor 99 and the new remainder 57, and apply the division lemma to get
99 = 57 x 1 + 42
We consider the new divisor 57 and the new remainder 42,and apply the division lemma to get
57 = 42 x 1 + 15
We consider the new divisor 42 and the new remainder 15,and apply the division lemma to get
42 = 15 x 2 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 255 and 609 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(42,15) = HCF(57,42) = HCF(99,57) = HCF(255,99) = HCF(609,255) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 890 > 3, we apply the division lemma to 890 and 3, to get
890 = 3 x 296 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 890 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(890,3) .
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Frequently Asked Questions on HCF of 255, 609, 890 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 255, 609, 890?
Answer: HCF of 255, 609, 890 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 255, 609, 890 using Euclid's Algorithm?
Answer: For arbitrary numbers 255, 609, 890 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.