Highest Common Factor of 425, 21223 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 425, 21223 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 425, 21223 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 425, 21223 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 425, 21223 is 1.
HCF(425, 21223) = 1
HCF of 425, 21223 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 425, 21223 is 1.
Highest Common Factor of 425,21223 is 1
Step 1: Since 21223 > 425, we apply the division lemma to 21223 and 425, to get
21223 = 425 x 49 + 398
Step 2: Since the reminder 425 ≠ 0, we apply division lemma to 398 and 425, to get
425 = 398 x 1 + 27
Step 3: We consider the new divisor 398 and the new remainder 27, and apply the division lemma to get
398 = 27 x 14 + 20
We consider the new divisor 27 and the new remainder 20,and apply the division lemma to get
27 = 20 x 1 + 7
We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get
20 = 7 x 2 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 425 and 21223 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(27,20) = HCF(398,27) = HCF(425,398) = HCF(21223,425) .
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Frequently Asked Questions on HCF of 425, 21223 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 425, 21223?
Answer: HCF of 425, 21223 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 425, 21223 using Euclid's Algorithm?
Answer: For arbitrary numbers 425, 21223 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.