Highest Common Factor of 4245, 4403 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 4245, 4403 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4245, 4403 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 4245, 4403 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 4245, 4403 is 1.
HCF(4245, 4403) = 1
HCF of 4245, 4403 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4245, 4403 is 1.
Highest Common Factor of 4245,4403 is 1
Step 1: Since 4403 > 4245, we apply the division lemma to 4403 and 4245, to get
4403 = 4245 x 1 + 158
Step 2: Since the reminder 4245 ≠ 0, we apply division lemma to 158 and 4245, to get
4245 = 158 x 26 + 137
Step 3: We consider the new divisor 158 and the new remainder 137, and apply the division lemma to get
158 = 137 x 1 + 21
We consider the new divisor 137 and the new remainder 21,and apply the division lemma to get
137 = 21 x 6 + 11
We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get
21 = 11 x 1 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4245 and 4403 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(137,21) = HCF(158,137) = HCF(4245,158) = HCF(4403,4245) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4245, 4403 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 4245, 4403?
Answer: HCF of 4245, 4403 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4245, 4403 using Euclid's Algorithm?
Answer: For arbitrary numbers 4245, 4403 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.