Highest Common Factor of 859, 567, 540 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 859, 567, 540 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 859, 567, 540 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 859, 567, 540 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 859, 567, 540 is 1.
HCF(859, 567, 540) = 1
HCF of 859, 567, 540 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 859, 567, 540 is 1.
Highest Common Factor of 859,567,540 is 1
Step 1: Since 859 > 567, we apply the division lemma to 859 and 567, to get
859 = 567 x 1 + 292
Step 2: Since the reminder 567 ≠ 0, we apply division lemma to 292 and 567, to get
567 = 292 x 1 + 275
Step 3: We consider the new divisor 292 and the new remainder 275, and apply the division lemma to get
292 = 275 x 1 + 17
We consider the new divisor 275 and the new remainder 17,and apply the division lemma to get
275 = 17 x 16 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 859 and 567 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(275,17) = HCF(292,275) = HCF(567,292) = HCF(859,567) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 540 > 1, we apply the division lemma to 540 and 1, to get
540 = 1 x 540 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 540 is 1
Notice that 1 = HCF(540,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 859, 567, 540 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 859, 567, 540?
Answer: HCF of 859, 567, 540 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 859, 567, 540 using Euclid's Algorithm?
Answer: For arbitrary numbers 859, 567, 540 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.