Highest Common Factor of 467, 815, 565, 460 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 467, 815, 565, 460 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 467, 815, 565, 460 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 467, 815, 565, 460 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 467, 815, 565, 460 is 1.
HCF(467, 815, 565, 460) = 1
HCF of 467, 815, 565, 460 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 467, 815, 565, 460 is 1.
Highest Common Factor of 467,815,565,460 is 1
Step 1: Since 815 > 467, we apply the division lemma to 815 and 467, to get
815 = 467 x 1 + 348
Step 2: Since the reminder 467 ≠ 0, we apply division lemma to 348 and 467, to get
467 = 348 x 1 + 119
Step 3: We consider the new divisor 348 and the new remainder 119, and apply the division lemma to get
348 = 119 x 2 + 110
We consider the new divisor 119 and the new remainder 110,and apply the division lemma to get
119 = 110 x 1 + 9
We consider the new divisor 110 and the new remainder 9,and apply the division lemma to get
110 = 9 x 12 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 467 and 815 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(110,9) = HCF(119,110) = HCF(348,119) = HCF(467,348) = HCF(815,467) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 565 > 1, we apply the division lemma to 565 and 1, to get
565 = 1 x 565 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 565 is 1
Notice that 1 = HCF(565,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 460 > 1, we apply the division lemma to 460 and 1, to get
460 = 1 x 460 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 460 is 1
Notice that 1 = HCF(460,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 467, 815, 565, 460 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 467, 815, 565, 460?
Answer: HCF of 467, 815, 565, 460 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 467, 815, 565, 460 using Euclid's Algorithm?
Answer: For arbitrary numbers 467, 815, 565, 460 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
