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 839, 520, 809 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 839, 520, 809 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 839, 520, 809 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 839, 520, 809 is 1.
HCF(839, 520, 809) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 839, 520, 809 is 1.
Step 1: Since 839 > 520, we apply the division lemma to 839 and 520, to get
839 = 520 x 1 + 319
Step 2: Since the reminder 520 ≠ 0, we apply division lemma to 319 and 520, to get
520 = 319 x 1 + 201
Step 3: We consider the new divisor 319 and the new remainder 201, and apply the division lemma to get
319 = 201 x 1 + 118
We consider the new divisor 201 and the new remainder 118,and apply the division lemma to get
201 = 118 x 1 + 83
We consider the new divisor 118 and the new remainder 83,and apply the division lemma to get
118 = 83 x 1 + 35
We consider the new divisor 83 and the new remainder 35,and apply the division lemma to get
83 = 35 x 2 + 13
We consider the new divisor 35 and the new remainder 13,and apply the division lemma to get
35 = 13 x 2 + 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 839 and 520 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(35,13) = HCF(83,35) = HCF(118,83) = HCF(201,118) = HCF(319,201) = HCF(520,319) = HCF(839,520) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 809 > 1, we apply the division lemma to 809 and 1, to get
809 = 1 x 809 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 809 is 1
Notice that 1 = HCF(809,1) .
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 839, 520, 809?
Answer: HCF of 839, 520, 809 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 839, 520, 809 using Euclid's Algorithm?
Answer: For arbitrary numbers 839, 520, 809 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.