Highest Common Factor of 4445, 7293 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 4445, 7293 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4445, 7293 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 4445, 7293 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 4445, 7293 is 1.
HCF(4445, 7293) = 1
HCF of 4445, 7293 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4445, 7293 is 1.
Highest Common Factor of 4445,7293 is 1
Step 1: Since 7293 > 4445, we apply the division lemma to 7293 and 4445, to get
7293 = 4445 x 1 + 2848
Step 2: Since the reminder 4445 ≠ 0, we apply division lemma to 2848 and 4445, to get
4445 = 2848 x 1 + 1597
Step 3: We consider the new divisor 2848 and the new remainder 1597, and apply the division lemma to get
2848 = 1597 x 1 + 1251
We consider the new divisor 1597 and the new remainder 1251,and apply the division lemma to get
1597 = 1251 x 1 + 346
We consider the new divisor 1251 and the new remainder 346,and apply the division lemma to get
1251 = 346 x 3 + 213
We consider the new divisor 346 and the new remainder 213,and apply the division lemma to get
346 = 213 x 1 + 133
We consider the new divisor 213 and the new remainder 133,and apply the division lemma to get
213 = 133 x 1 + 80
We consider the new divisor 133 and the new remainder 80,and apply the division lemma to get
133 = 80 x 1 + 53
We consider the new divisor 80 and the new remainder 53,and apply the division lemma to get
80 = 53 x 1 + 27
We consider the new divisor 53 and the new remainder 27,and apply the division lemma to get
53 = 27 x 1 + 26
We consider the new divisor 27 and the new remainder 26,and apply the division lemma to get
27 = 26 x 1 + 1
We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4445 and 7293 is 1
Notice that 1 = HCF(26,1) = HCF(27,26) = HCF(53,27) = HCF(80,53) = HCF(133,80) = HCF(213,133) = HCF(346,213) = HCF(1251,346) = HCF(1597,1251) = HCF(2848,1597) = HCF(4445,2848) = HCF(7293,4445) .
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Frequently Asked Questions on HCF of 4445, 7293 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 4445, 7293?
Answer: HCF of 4445, 7293 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4445, 7293 using Euclid's Algorithm?
Answer: For arbitrary numbers 4445, 7293 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.