Highest Common Factor of 545, 996 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 545, 996 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 545, 996 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 545, 996 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 545, 996 is 1.
HCF(545, 996) = 1
HCF of 545, 996 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 545, 996 is 1.
Highest Common Factor of 545,996 is 1
Step 1: Since 996 > 545, we apply the division lemma to 996 and 545, to get
996 = 545 x 1 + 451
Step 2: Since the reminder 545 ≠ 0, we apply division lemma to 451 and 545, to get
545 = 451 x 1 + 94
Step 3: We consider the new divisor 451 and the new remainder 94, and apply the division lemma to get
451 = 94 x 4 + 75
We consider the new divisor 94 and the new remainder 75,and apply the division lemma to get
94 = 75 x 1 + 19
We consider the new divisor 75 and the new remainder 19,and apply the division lemma to get
75 = 19 x 3 + 18
We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get
19 = 18 x 1 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 545 and 996 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(75,19) = HCF(94,75) = HCF(451,94) = HCF(545,451) = HCF(996,545) .
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Frequently Asked Questions on HCF of 545, 996 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 545, 996?
Answer: HCF of 545, 996 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 545, 996 using Euclid's Algorithm?
Answer: For arbitrary numbers 545, 996 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.