Highest Common Factor of 505, 658, 483, 318 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 505, 658, 483, 318 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 505, 658, 483, 318 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 505, 658, 483, 318 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 505, 658, 483, 318 is 1.
HCF(505, 658, 483, 318) = 1
HCF of 505, 658, 483, 318 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 505, 658, 483, 318 is 1.
Highest Common Factor of 505,658,483,318 is 1
Step 1: Since 658 > 505, we apply the division lemma to 658 and 505, to get
658 = 505 x 1 + 153
Step 2: Since the reminder 505 ≠ 0, we apply division lemma to 153 and 505, to get
505 = 153 x 3 + 46
Step 3: We consider the new divisor 153 and the new remainder 46, and apply the division lemma to get
153 = 46 x 3 + 15
We consider the new divisor 46 and the new remainder 15,and apply the division lemma to get
46 = 15 x 3 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 505 and 658 is 1
Notice that 1 = HCF(15,1) = HCF(46,15) = HCF(153,46) = HCF(505,153) = HCF(658,505) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 483 > 1, we apply the division lemma to 483 and 1, to get
483 = 1 x 483 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 483 is 1
Notice that 1 = HCF(483,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 318 > 1, we apply the division lemma to 318 and 1, to get
318 = 1 x 318 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 318 is 1
Notice that 1 = HCF(318,1) .
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Frequently Asked Questions on HCF of 505, 658, 483, 318 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 505, 658, 483, 318?
Answer: HCF of 505, 658, 483, 318 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 505, 658, 483, 318 using Euclid's Algorithm?
Answer: For arbitrary numbers 505, 658, 483, 318 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
