Highest Common Factor of 4273, 7093 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 4273, 7093 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4273, 7093 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 4273, 7093 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 4273, 7093 is 1.
HCF(4273, 7093) = 1
HCF of 4273, 7093 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4273, 7093 is 1.
Highest Common Factor of 4273,7093 is 1
Step 1: Since 7093 > 4273, we apply the division lemma to 7093 and 4273, to get
7093 = 4273 x 1 + 2820
Step 2: Since the reminder 4273 ≠ 0, we apply division lemma to 2820 and 4273, to get
4273 = 2820 x 1 + 1453
Step 3: We consider the new divisor 2820 and the new remainder 1453, and apply the division lemma to get
2820 = 1453 x 1 + 1367
We consider the new divisor 1453 and the new remainder 1367,and apply the division lemma to get
1453 = 1367 x 1 + 86
We consider the new divisor 1367 and the new remainder 86,and apply the division lemma to get
1367 = 86 x 15 + 77
We consider the new divisor 86 and the new remainder 77,and apply the division lemma to get
86 = 77 x 1 + 9
We consider the new divisor 77 and the new remainder 9,and apply the division lemma to get
77 = 9 x 8 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4273 and 7093 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(77,9) = HCF(86,77) = HCF(1367,86) = HCF(1453,1367) = HCF(2820,1453) = HCF(4273,2820) = HCF(7093,4273) .
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Frequently Asked Questions on HCF of 4273, 7093 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 4273, 7093?
Answer: HCF of 4273, 7093 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4273, 7093 using Euclid's Algorithm?
Answer: For arbitrary numbers 4273, 7093 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.