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 8630, 5518 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8630, 5518 is 2 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 8630, 5518 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 8630, 5518 is 2.
HCF(8630, 5518) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8630, 5518 is 2.
Step 1: Since 8630 > 5518, we apply the division lemma to 8630 and 5518, to get
8630 = 5518 x 1 + 3112
Step 2: Since the reminder 5518 ≠ 0, we apply division lemma to 3112 and 5518, to get
5518 = 3112 x 1 + 2406
Step 3: We consider the new divisor 3112 and the new remainder 2406, and apply the division lemma to get
3112 = 2406 x 1 + 706
We consider the new divisor 2406 and the new remainder 706,and apply the division lemma to get
2406 = 706 x 3 + 288
We consider the new divisor 706 and the new remainder 288,and apply the division lemma to get
706 = 288 x 2 + 130
We consider the new divisor 288 and the new remainder 130,and apply the division lemma to get
288 = 130 x 2 + 28
We consider the new divisor 130 and the new remainder 28,and apply the division lemma to get
130 = 28 x 4 + 18
We consider the new divisor 28 and the new remainder 18,and apply the division lemma to get
28 = 18 x 1 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8630 and 5518 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(28,18) = HCF(130,28) = HCF(288,130) = HCF(706,288) = HCF(2406,706) = HCF(3112,2406) = HCF(5518,3112) = HCF(8630,5518) .
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 8630, 5518?
Answer: HCF of 8630, 5518 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8630, 5518 using Euclid's Algorithm?
Answer: For arbitrary numbers 8630, 5518 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.