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 5166, 2272 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5166, 2272 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 5166, 2272 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 5166, 2272 is 2.
HCF(5166, 2272) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5166, 2272 is 2.
Step 1: Since 5166 > 2272, we apply the division lemma to 5166 and 2272, to get
5166 = 2272 x 2 + 622
Step 2: Since the reminder 2272 ≠ 0, we apply division lemma to 622 and 2272, to get
2272 = 622 x 3 + 406
Step 3: We consider the new divisor 622 and the new remainder 406, and apply the division lemma to get
622 = 406 x 1 + 216
We consider the new divisor 406 and the new remainder 216,and apply the division lemma to get
406 = 216 x 1 + 190
We consider the new divisor 216 and the new remainder 190,and apply the division lemma to get
216 = 190 x 1 + 26
We consider the new divisor 190 and the new remainder 26,and apply the division lemma to get
190 = 26 x 7 + 8
We consider the new divisor 26 and the new remainder 8,and apply the division lemma to get
26 = 8 x 3 + 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 5166 and 2272 is 2
Notice that 2 = HCF(8,2) = HCF(26,8) = HCF(190,26) = HCF(216,190) = HCF(406,216) = HCF(622,406) = HCF(2272,622) = HCF(5166,2272) .
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 5166, 2272?
Answer: HCF of 5166, 2272 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5166, 2272 using Euclid's Algorithm?
Answer: For arbitrary numbers 5166, 2272 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.