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 439, 838, 632, 82 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 439, 838, 632, 82 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 439, 838, 632, 82 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 439, 838, 632, 82 is 1.
HCF(439, 838, 632, 82) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 439, 838, 632, 82 is 1.
Step 1: Since 838 > 439, we apply the division lemma to 838 and 439, to get
838 = 439 x 1 + 399
Step 2: Since the reminder 439 ≠ 0, we apply division lemma to 399 and 439, to get
439 = 399 x 1 + 40
Step 3: We consider the new divisor 399 and the new remainder 40, and apply the division lemma to get
399 = 40 x 9 + 39
We consider the new divisor 40 and the new remainder 39,and apply the division lemma to get
40 = 39 x 1 + 1
We consider the new divisor 39 and the new remainder 1,and apply the division lemma to get
39 = 1 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 439 and 838 is 1
Notice that 1 = HCF(39,1) = HCF(40,39) = HCF(399,40) = HCF(439,399) = HCF(838,439) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 632 > 1, we apply the division lemma to 632 and 1, to get
632 = 1 x 632 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 632 is 1
Notice that 1 = HCF(632,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 82 > 1, we apply the division lemma to 82 and 1, to get
82 = 1 x 82 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 82 is 1
Notice that 1 = HCF(82,1) .
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 439, 838, 632, 82?
Answer: HCF of 439, 838, 632, 82 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 439, 838, 632, 82 using Euclid's Algorithm?
Answer: For arbitrary numbers 439, 838, 632, 82 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.