Highest Common Factor of 4469, 4749 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 4469, 4749 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4469, 4749 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 4469, 4749 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 4469, 4749 is 1.
HCF(4469, 4749) = 1
HCF of 4469, 4749 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4469, 4749 is 1.
Highest Common Factor of 4469,4749 is 1
Step 1: Since 4749 > 4469, we apply the division lemma to 4749 and 4469, to get
4749 = 4469 x 1 + 280
Step 2: Since the reminder 4469 ≠ 0, we apply division lemma to 280 and 4469, to get
4469 = 280 x 15 + 269
Step 3: We consider the new divisor 280 and the new remainder 269, and apply the division lemma to get
280 = 269 x 1 + 11
We consider the new divisor 269 and the new remainder 11,and apply the division lemma to get
269 = 11 x 24 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4469 and 4749 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(269,11) = HCF(280,269) = HCF(4469,280) = HCF(4749,4469) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4469, 4749 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 4469, 4749?
Answer: HCF of 4469, 4749 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4469, 4749 using Euclid's Algorithm?
Answer: For arbitrary numbers 4469, 4749 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.