Highest Common Factor of 445, 90930 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 445, 90930 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 445, 90930 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 445, 90930 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 445, 90930 is 5.
HCF(445, 90930) = 5
HCF of 445, 90930 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 445, 90930 is 5.
Highest Common Factor of 445,90930 is 5
Step 1: Since 90930 > 445, we apply the division lemma to 90930 and 445, to get
90930 = 445 x 204 + 150
Step 2: Since the reminder 445 ≠ 0, we apply division lemma to 150 and 445, to get
445 = 150 x 2 + 145
Step 3: We consider the new divisor 150 and the new remainder 145, and apply the division lemma to get
150 = 145 x 1 + 5
We consider the new divisor 145 and the new remainder 5, and apply the division lemma to get
145 = 5 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 445 and 90930 is 5
Notice that 5 = HCF(145,5) = HCF(150,145) = HCF(445,150) = HCF(90930,445) .
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Frequently Asked Questions on HCF of 445, 90930 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 445, 90930?
Answer: HCF of 445, 90930 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 445, 90930 using Euclid's Algorithm?
Answer: For arbitrary numbers 445, 90930 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.