Highest Common Factor of 663, 921, 285, 259 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 663, 921, 285, 259 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 663, 921, 285, 259 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 663, 921, 285, 259 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 663, 921, 285, 259 is 1.
HCF(663, 921, 285, 259) = 1
HCF of 663, 921, 285, 259 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 663, 921, 285, 259 is 1.
Highest Common Factor of 663,921,285,259 is 1
Step 1: Since 921 > 663, we apply the division lemma to 921 and 663, to get
921 = 663 x 1 + 258
Step 2: Since the reminder 663 ≠ 0, we apply division lemma to 258 and 663, to get
663 = 258 x 2 + 147
Step 3: We consider the new divisor 258 and the new remainder 147, and apply the division lemma to get
258 = 147 x 1 + 111
We consider the new divisor 147 and the new remainder 111,and apply the division lemma to get
147 = 111 x 1 + 36
We consider the new divisor 111 and the new remainder 36,and apply the division lemma to get
111 = 36 x 3 + 3
We consider the new divisor 36 and the new remainder 3,and apply the division lemma to get
36 = 3 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 663 and 921 is 3
Notice that 3 = HCF(36,3) = HCF(111,36) = HCF(147,111) = HCF(258,147) = HCF(663,258) = HCF(921,663) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 285 > 3, we apply the division lemma to 285 and 3, to get
285 = 3 x 95 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 285 is 3
Notice that 3 = HCF(285,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 259 > 3, we apply the division lemma to 259 and 3, to get
259 = 3 x 86 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 259 is 1
Notice that 1 = HCF(3,1) = HCF(259,3) .
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Frequently Asked Questions on HCF of 663, 921, 285, 259 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 663, 921, 285, 259?
Answer: HCF of 663, 921, 285, 259 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 663, 921, 285, 259 using Euclid's Algorithm?
Answer: For arbitrary numbers 663, 921, 285, 259 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.