Highest Common Factor of 605, 845, 990, 545 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 605, 845, 990, 545 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 605, 845, 990, 545 is 5 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 605, 845, 990, 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 605, 845, 990, 545 is 5.
HCF(605, 845, 990, 545) = 5
HCF of 605, 845, 990, 545 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 605, 845, 990, 545 is 5.
Highest Common Factor of 605,845,990,545 is 5
Step 1: Since 845 > 605, we apply the division lemma to 845 and 605, to get
845 = 605 x 1 + 240
Step 2: Since the reminder 605 ≠ 0, we apply division lemma to 240 and 605, to get
605 = 240 x 2 + 125
Step 3: We consider the new divisor 240 and the new remainder 125, and apply the division lemma to get
240 = 125 x 1 + 115
We consider the new divisor 125 and the new remainder 115,and apply the division lemma to get
125 = 115 x 1 + 10
We consider the new divisor 115 and the new remainder 10,and apply the division lemma to get
115 = 10 x 11 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 605 and 845 is 5
Notice that 5 = HCF(10,5) = HCF(115,10) = HCF(125,115) = HCF(240,125) = HCF(605,240) = HCF(845,605) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 990 > 5, we apply the division lemma to 990 and 5, to get
990 = 5 x 198 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 990 is 5
Notice that 5 = HCF(990,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 545 > 5, we apply the division lemma to 545 and 5, to get
545 = 5 x 109 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 545 is 5
Notice that 5 = HCF(545,5) .
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Frequently Asked Questions on HCF of 605, 845, 990, 545 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 605, 845, 990, 545?
Answer: HCF of 605, 845, 990, 545 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 605, 845, 990, 545 using Euclid's Algorithm?
Answer: For arbitrary numbers 605, 845, 990, 545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.