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 484, 669, 545 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 484, 669, 545 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 484, 669, 545 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 484, 669, 545 is 1.
HCF(484, 669, 545) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 484, 669, 545 is 1.
Step 1: Since 669 > 484, we apply the division lemma to 669 and 484, to get
669 = 484 x 1 + 185
Step 2: Since the reminder 484 ≠ 0, we apply division lemma to 185 and 484, to get
484 = 185 x 2 + 114
Step 3: We consider the new divisor 185 and the new remainder 114, and apply the division lemma to get
185 = 114 x 1 + 71
We consider the new divisor 114 and the new remainder 71,and apply the division lemma to get
114 = 71 x 1 + 43
We consider the new divisor 71 and the new remainder 43,and apply the division lemma to get
71 = 43 x 1 + 28
We consider the new divisor 43 and the new remainder 28,and apply the division lemma to get
43 = 28 x 1 + 15
We consider the new divisor 28 and the new remainder 15,and apply the division lemma to get
28 = 15 x 1 + 13
We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get
15 = 13 x 1 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 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 484 and 669 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(28,15) = HCF(43,28) = HCF(71,43) = HCF(114,71) = HCF(185,114) = HCF(484,185) = HCF(669,484) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 545 > 1, we apply the division lemma to 545 and 1, to get
545 = 1 x 545 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 545 is 1
Notice that 1 = HCF(545,1) .
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 484, 669, 545?
Answer: HCF of 484, 669, 545 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 484, 669, 545 using Euclid's Algorithm?
Answer: For arbitrary numbers 484, 669, 545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.