Highest Common Factor of 265, 482, 665, 467 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 265, 482, 665, 467 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 265, 482, 665, 467 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 265, 482, 665, 467 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 265, 482, 665, 467 is 1.
HCF(265, 482, 665, 467) = 1
HCF of 265, 482, 665, 467 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 265, 482, 665, 467 is 1.
Highest Common Factor of 265,482,665,467 is 1
Step 1: Since 482 > 265, we apply the division lemma to 482 and 265, to get
482 = 265 x 1 + 217
Step 2: Since the reminder 265 ≠ 0, we apply division lemma to 217 and 265, to get
265 = 217 x 1 + 48
Step 3: We consider the new divisor 217 and the new remainder 48, and apply the division lemma to get
217 = 48 x 4 + 25
We consider the new divisor 48 and the new remainder 25,and apply the division lemma to get
48 = 25 x 1 + 23
We consider the new divisor 25 and the new remainder 23,and apply the division lemma to get
25 = 23 x 1 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 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 265 and 482 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(25,23) = HCF(48,25) = HCF(217,48) = HCF(265,217) = HCF(482,265) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 665 > 1, we apply the division lemma to 665 and 1, to get
665 = 1 x 665 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 665 is 1
Notice that 1 = HCF(665,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 467 > 1, we apply the division lemma to 467 and 1, to get
467 = 1 x 467 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 467 is 1
Notice that 1 = HCF(467,1) .
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Frequently Asked Questions on HCF of 265, 482, 665, 467 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 265, 482, 665, 467?
Answer: HCF of 265, 482, 665, 467 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 265, 482, 665, 467 using Euclid's Algorithm?
Answer: For arbitrary numbers 265, 482, 665, 467 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.