Highest Common Factor of 5516, 830 using Euclid's algorithm
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 5516, 830 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5516, 830 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 5516, 830 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 5516, 830 is 2.
HCF(5516, 830) = 2
HCF of 5516, 830 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5516, 830 is 2.
Highest Common Factor of 5516,830 is 2
Step 1: Since 5516 > 830, we apply the division lemma to 5516 and 830, to get
5516 = 830 x 6 + 536
Step 2: Since the reminder 830 ≠ 0, we apply division lemma to 536 and 830, to get
830 = 536 x 1 + 294
Step 3: We consider the new divisor 536 and the new remainder 294, and apply the division lemma to get
536 = 294 x 1 + 242
We consider the new divisor 294 and the new remainder 242,and apply the division lemma to get
294 = 242 x 1 + 52
We consider the new divisor 242 and the new remainder 52,and apply the division lemma to get
242 = 52 x 4 + 34
We consider the new divisor 52 and the new remainder 34,and apply the division lemma to get
52 = 34 x 1 + 18
We consider the new divisor 34 and the new remainder 18,and apply the division lemma to get
34 = 18 x 1 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5516 and 830 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(34,18) = HCF(52,34) = HCF(242,52) = HCF(294,242) = HCF(536,294) = HCF(830,536) = HCF(5516,830) .
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Frequently Asked Questions on HCF of 5516, 830 using Euclid's Algorithm
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 5516, 830?
Answer: HCF of 5516, 830 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5516, 830 using Euclid's Algorithm?
Answer: For arbitrary numbers 5516, 830 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.