Highest Common Factor of 545, 959, 64 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, 959, 64 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 545, 959, 64 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, 959, 64 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, 959, 64 is 1.
HCF(545, 959, 64) = 1
HCF of 545, 959, 64 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, 959, 64 is 1.
Highest Common Factor of 545,959,64 is 1
Step 1: Since 959 > 545, we apply the division lemma to 959 and 545, to get
959 = 545 x 1 + 414
Step 2: Since the reminder 545 ≠ 0, we apply division lemma to 414 and 545, to get
545 = 414 x 1 + 131
Step 3: We consider the new divisor 414 and the new remainder 131, and apply the division lemma to get
414 = 131 x 3 + 21
We consider the new divisor 131 and the new remainder 21,and apply the division lemma to get
131 = 21 x 6 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 545 and 959 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(131,21) = HCF(414,131) = HCF(545,414) = HCF(959,545) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 64 > 1, we apply the division lemma to 64 and 1, to get
64 = 1 x 64 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64 is 1
Notice that 1 = HCF(64,1) .
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Frequently Asked Questions on HCF of 545, 959, 64 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, 959, 64?
Answer: HCF of 545, 959, 64 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 545, 959, 64 using Euclid's Algorithm?
Answer: For arbitrary numbers 545, 959, 64 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.