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 479, 824 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 479, 824 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 479, 824 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 479, 824 is 1.
HCF(479, 824) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 479, 824 is 1.
Step 1: Since 824 > 479, we apply the division lemma to 824 and 479, to get
824 = 479 x 1 + 345
Step 2: Since the reminder 479 ≠ 0, we apply division lemma to 345 and 479, to get
479 = 345 x 1 + 134
Step 3: We consider the new divisor 345 and the new remainder 134, and apply the division lemma to get
345 = 134 x 2 + 77
We consider the new divisor 134 and the new remainder 77,and apply the division lemma to get
134 = 77 x 1 + 57
We consider the new divisor 77 and the new remainder 57,and apply the division lemma to get
77 = 57 x 1 + 20
We consider the new divisor 57 and the new remainder 20,and apply the division lemma to get
57 = 20 x 2 + 17
We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get
20 = 17 x 1 + 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 479 and 824 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(57,20) = HCF(77,57) = HCF(134,77) = HCF(345,134) = HCF(479,345) = HCF(824,479) .
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 479, 824?
Answer: HCF of 479, 824 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 479, 824 using Euclid's Algorithm?
Answer: For arbitrary numbers 479, 824 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.