Highest Common Factor of 549, 928 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 549, 928 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 549, 928 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 549, 928 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 549, 928 is 1.
HCF(549, 928) = 1
HCF of 549, 928 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 549, 928 is 1.
Highest Common Factor of 549,928 is 1
Step 1: Since 928 > 549, we apply the division lemma to 928 and 549, to get
928 = 549 x 1 + 379
Step 2: Since the reminder 549 ≠ 0, we apply division lemma to 379 and 549, to get
549 = 379 x 1 + 170
Step 3: We consider the new divisor 379 and the new remainder 170, and apply the division lemma to get
379 = 170 x 2 + 39
We consider the new divisor 170 and the new remainder 39,and apply the division lemma to get
170 = 39 x 4 + 14
We consider the new divisor 39 and the new remainder 14,and apply the division lemma to get
39 = 14 x 2 + 11
We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get
14 = 11 x 1 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 549 and 928 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(39,14) = HCF(170,39) = HCF(379,170) = HCF(549,379) = HCF(928,549) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 549, 928 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 549, 928?
Answer: HCF of 549, 928 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 549, 928 using Euclid's Algorithm?
Answer: For arbitrary numbers 549, 928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.