Highest Common Factor of 780, 285, 611 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 780, 285, 611 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 780, 285, 611 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 780, 285, 611 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 780, 285, 611 is 1.
HCF(780, 285, 611) = 1
HCF of 780, 285, 611 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 780, 285, 611 is 1.
Highest Common Factor of 780,285,611 is 1
Step 1: Since 780 > 285, we apply the division lemma to 780 and 285, to get
780 = 285 x 2 + 210
Step 2: Since the reminder 285 ≠ 0, we apply division lemma to 210 and 285, to get
285 = 210 x 1 + 75
Step 3: We consider the new divisor 210 and the new remainder 75, and apply the division lemma to get
210 = 75 x 2 + 60
We consider the new divisor 75 and the new remainder 60,and apply the division lemma to get
75 = 60 x 1 + 15
We consider the new divisor 60 and the new remainder 15,and apply the division lemma to get
60 = 15 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 780 and 285 is 15
Notice that 15 = HCF(60,15) = HCF(75,60) = HCF(210,75) = HCF(285,210) = HCF(780,285) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 611 > 15, we apply the division lemma to 611 and 15, to get
611 = 15 x 40 + 11
Step 2: Since the reminder 15 ≠ 0, we apply division lemma to 11 and 15, to get
15 = 11 x 1 + 4
Step 3: We consider the new divisor 11 and the new remainder 4, and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 15 and 611 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(611,15) .
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Frequently Asked Questions on HCF of 780, 285, 611 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 780, 285, 611?
Answer: HCF of 780, 285, 611 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 780, 285, 611 using Euclid's Algorithm?
Answer: For arbitrary numbers 780, 285, 611 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
