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 5521, 3249 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5521, 3249 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 5521, 3249 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 5521, 3249 is 1.
HCF(5521, 3249) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5521, 3249 is 1.
Step 1: Since 5521 > 3249, we apply the division lemma to 5521 and 3249, to get
5521 = 3249 x 1 + 2272
Step 2: Since the reminder 3249 ≠ 0, we apply division lemma to 2272 and 3249, to get
3249 = 2272 x 1 + 977
Step 3: We consider the new divisor 2272 and the new remainder 977, and apply the division lemma to get
2272 = 977 x 2 + 318
We consider the new divisor 977 and the new remainder 318,and apply the division lemma to get
977 = 318 x 3 + 23
We consider the new divisor 318 and the new remainder 23,and apply the division lemma to get
318 = 23 x 13 + 19
We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get
23 = 19 x 1 + 4
We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get
19 = 4 x 4 + 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 5521 and 3249 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(318,23) = HCF(977,318) = HCF(2272,977) = HCF(3249,2272) = HCF(5521,3249) .
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 5521, 3249?
Answer: HCF of 5521, 3249 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5521, 3249 using Euclid's Algorithm?
Answer: For arbitrary numbers 5521, 3249 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.