Highest Common Factor of 4549, 4279 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 4549, 4279 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4549, 4279 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 4549, 4279 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 4549, 4279 is 1.
HCF(4549, 4279) = 1
HCF of 4549, 4279 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4549, 4279 is 1.
Highest Common Factor of 4549,4279 is 1
Step 1: Since 4549 > 4279, we apply the division lemma to 4549 and 4279, to get
4549 = 4279 x 1 + 270
Step 2: Since the reminder 4279 ≠ 0, we apply division lemma to 270 and 4279, to get
4279 = 270 x 15 + 229
Step 3: We consider the new divisor 270 and the new remainder 229, and apply the division lemma to get
270 = 229 x 1 + 41
We consider the new divisor 229 and the new remainder 41,and apply the division lemma to get
229 = 41 x 5 + 24
We consider the new divisor 41 and the new remainder 24,and apply the division lemma to get
41 = 24 x 1 + 17
We consider the new divisor 24 and the new remainder 17,and apply the division lemma to get
24 = 17 x 1 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 4549 and 4279 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(24,17) = HCF(41,24) = HCF(229,41) = HCF(270,229) = HCF(4279,270) = HCF(4549,4279) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4549, 4279 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 4549, 4279?
Answer: HCF of 4549, 4279 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4549, 4279 using Euclid's Algorithm?
Answer: For arbitrary numbers 4549, 4279 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.