Highest Common Factor of 521, 145 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 521, 145 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 521, 145 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 521, 145 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 521, 145 is 1.
HCF(521, 145) = 1
HCF of 521, 145 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 521, 145 is 1.
Highest Common Factor of 521,145 is 1
Step 1: Since 521 > 145, we apply the division lemma to 521 and 145, to get
521 = 145 x 3 + 86
Step 2: Since the reminder 145 ≠ 0, we apply division lemma to 86 and 145, to get
145 = 86 x 1 + 59
Step 3: We consider the new divisor 86 and the new remainder 59, and apply the division lemma to get
86 = 59 x 1 + 27
We consider the new divisor 59 and the new remainder 27,and apply the division lemma to get
59 = 27 x 2 + 5
We consider the new divisor 27 and the new remainder 5,and apply the division lemma to get
27 = 5 x 5 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 521 and 145 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(27,5) = HCF(59,27) = HCF(86,59) = HCF(145,86) = HCF(521,145) .
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Frequently Asked Questions on HCF of 521, 145 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 521, 145?
Answer: HCF of 521, 145 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 521, 145 using Euclid's Algorithm?
Answer: For arbitrary numbers 521, 145 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.