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 539, 213, 771 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 539, 213, 771 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 539, 213, 771 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 539, 213, 771 is 1.
HCF(539, 213, 771) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 539, 213, 771 is 1.
Step 1: Since 539 > 213, we apply the division lemma to 539 and 213, to get
539 = 213 x 2 + 113
Step 2: Since the reminder 213 ≠ 0, we apply division lemma to 113 and 213, to get
213 = 113 x 1 + 100
Step 3: We consider the new divisor 113 and the new remainder 100, and apply the division lemma to get
113 = 100 x 1 + 13
We consider the new divisor 100 and the new remainder 13,and apply the division lemma to get
100 = 13 x 7 + 9
We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get
13 = 9 x 1 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 539 and 213 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(100,13) = HCF(113,100) = HCF(213,113) = HCF(539,213) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 771 > 1, we apply the division lemma to 771 and 1, to get
771 = 1 x 771 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 771 is 1
Notice that 1 = HCF(771,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 539, 213, 771?
Answer: HCF of 539, 213, 771 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 539, 213, 771 using Euclid's Algorithm?
Answer: For arbitrary numbers 539, 213, 771 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.