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 4058, 5506 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4058, 5506 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 4058, 5506 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 4058, 5506 is 2.
HCF(4058, 5506) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4058, 5506 is 2.
Step 1: Since 5506 > 4058, we apply the division lemma to 5506 and 4058, to get
5506 = 4058 x 1 + 1448
Step 2: Since the reminder 4058 ≠ 0, we apply division lemma to 1448 and 4058, to get
4058 = 1448 x 2 + 1162
Step 3: We consider the new divisor 1448 and the new remainder 1162, and apply the division lemma to get
1448 = 1162 x 1 + 286
We consider the new divisor 1162 and the new remainder 286,and apply the division lemma to get
1162 = 286 x 4 + 18
We consider the new divisor 286 and the new remainder 18,and apply the division lemma to get
286 = 18 x 15 + 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 4058 and 5506 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(286,18) = HCF(1162,286) = HCF(1448,1162) = HCF(4058,1448) = HCF(5506,4058) .
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 4058, 5506?
Answer: HCF of 4058, 5506 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4058, 5506 using Euclid's Algorithm?
Answer: For arbitrary numbers 4058, 5506 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.