Highest Common Factor of 485, 611, 289, 985 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 485, 611, 289, 985 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 485, 611, 289, 985 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 485, 611, 289, 985 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 485, 611, 289, 985 is 1.
HCF(485, 611, 289, 985) = 1
HCF of 485, 611, 289, 985 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 485, 611, 289, 985 is 1.
Highest Common Factor of 485,611,289,985 is 1
Step 1: Since 611 > 485, we apply the division lemma to 611 and 485, to get
611 = 485 x 1 + 126
Step 2: Since the reminder 485 ≠ 0, we apply division lemma to 126 and 485, to get
485 = 126 x 3 + 107
Step 3: We consider the new divisor 126 and the new remainder 107, and apply the division lemma to get
126 = 107 x 1 + 19
We consider the new divisor 107 and the new remainder 19,and apply the division lemma to get
107 = 19 x 5 + 12
We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 485 and 611 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(107,19) = HCF(126,107) = HCF(485,126) = HCF(611,485) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 289 > 1, we apply the division lemma to 289 and 1, to get
289 = 1 x 289 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 289 is 1
Notice that 1 = HCF(289,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 985 > 1, we apply the division lemma to 985 and 1, to get
985 = 1 x 985 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 985 is 1
Notice that 1 = HCF(985,1) .
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Frequently Asked Questions on HCF of 485, 611, 289, 985 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 485, 611, 289, 985?
Answer: HCF of 485, 611, 289, 985 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 485, 611, 289, 985 using Euclid's Algorithm?
Answer: For arbitrary numbers 485, 611, 289, 985 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.