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 2031, 8479 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2031, 8479 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 2031, 8479 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 2031, 8479 is 1.
HCF(2031, 8479) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2031, 8479 is 1.
Step 1: Since 8479 > 2031, we apply the division lemma to 8479 and 2031, to get
8479 = 2031 x 4 + 355
Step 2: Since the reminder 2031 ≠ 0, we apply division lemma to 355 and 2031, to get
2031 = 355 x 5 + 256
Step 3: We consider the new divisor 355 and the new remainder 256, and apply the division lemma to get
355 = 256 x 1 + 99
We consider the new divisor 256 and the new remainder 99,and apply the division lemma to get
256 = 99 x 2 + 58
We consider the new divisor 99 and the new remainder 58,and apply the division lemma to get
99 = 58 x 1 + 41
We consider the new divisor 58 and the new remainder 41,and apply the division lemma to get
58 = 41 x 1 + 17
We consider the new divisor 41 and the new remainder 17,and apply the division lemma to get
41 = 17 x 2 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2031 and 8479 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(41,17) = HCF(58,41) = HCF(99,58) = HCF(256,99) = HCF(355,256) = HCF(2031,355) = HCF(8479,2031) .
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 2031, 8479?
Answer: HCF of 2031, 8479 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2031, 8479 using Euclid's Algorithm?
Answer: For arbitrary numbers 2031, 8479 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.