Highest Common Factor of 745, 42273 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 745, 42273 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 745, 42273 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 745, 42273 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 745, 42273 is 1.
HCF(745, 42273) = 1
HCF of 745, 42273 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 745, 42273 is 1.
Highest Common Factor of 745,42273 is 1
Step 1: Since 42273 > 745, we apply the division lemma to 42273 and 745, to get
42273 = 745 x 56 + 553
Step 2: Since the reminder 745 ≠ 0, we apply division lemma to 553 and 745, to get
745 = 553 x 1 + 192
Step 3: We consider the new divisor 553 and the new remainder 192, and apply the division lemma to get
553 = 192 x 2 + 169
We consider the new divisor 192 and the new remainder 169,and apply the division lemma to get
192 = 169 x 1 + 23
We consider the new divisor 169 and the new remainder 23,and apply the division lemma to get
169 = 23 x 7 + 8
We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get
23 = 8 x 2 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 745 and 42273 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(169,23) = HCF(192,169) = HCF(553,192) = HCF(745,553) = HCF(42273,745) .
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Frequently Asked Questions on HCF of 745, 42273 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 745, 42273?
Answer: HCF of 745, 42273 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 745, 42273 using Euclid's Algorithm?
Answer: For arbitrary numbers 745, 42273 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
