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 2230, 7079 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2230, 7079 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 2230, 7079 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 2230, 7079 is 1.
HCF(2230, 7079) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2230, 7079 is 1.
Step 1: Since 7079 > 2230, we apply the division lemma to 7079 and 2230, to get
7079 = 2230 x 3 + 389
Step 2: Since the reminder 2230 ≠ 0, we apply division lemma to 389 and 2230, to get
2230 = 389 x 5 + 285
Step 3: We consider the new divisor 389 and the new remainder 285, and apply the division lemma to get
389 = 285 x 1 + 104
We consider the new divisor 285 and the new remainder 104,and apply the division lemma to get
285 = 104 x 2 + 77
We consider the new divisor 104 and the new remainder 77,and apply the division lemma to get
104 = 77 x 1 + 27
We consider the new divisor 77 and the new remainder 27,and apply the division lemma to get
77 = 27 x 2 + 23
We consider the new divisor 27 and the new remainder 23,and apply the division lemma to get
27 = 23 x 1 + 4
We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get
23 = 4 x 5 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 2230 and 7079 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(27,23) = HCF(77,27) = HCF(104,77) = HCF(285,104) = HCF(389,285) = HCF(2230,389) = HCF(7079,2230) .
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 2230, 7079?
Answer: HCF of 2230, 7079 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2230, 7079 using Euclid's Algorithm?
Answer: For arbitrary numbers 2230, 7079 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.