Highest Common Factor of 5073, 7370 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 5073, 7370 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5073, 7370 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 5073, 7370 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 5073, 7370 is 1.
HCF(5073, 7370) = 1
HCF of 5073, 7370 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5073, 7370 is 1.
Highest Common Factor of 5073,7370 is 1
Step 1: Since 7370 > 5073, we apply the division lemma to 7370 and 5073, to get
7370 = 5073 x 1 + 2297
Step 2: Since the reminder 5073 ≠ 0, we apply division lemma to 2297 and 5073, to get
5073 = 2297 x 2 + 479
Step 3: We consider the new divisor 2297 and the new remainder 479, and apply the division lemma to get
2297 = 479 x 4 + 381
We consider the new divisor 479 and the new remainder 381,and apply the division lemma to get
479 = 381 x 1 + 98
We consider the new divisor 381 and the new remainder 98,and apply the division lemma to get
381 = 98 x 3 + 87
We consider the new divisor 98 and the new remainder 87,and apply the division lemma to get
98 = 87 x 1 + 11
We consider the new divisor 87 and the new remainder 11,and apply the division lemma to get
87 = 11 x 7 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5073 and 7370 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(87,11) = HCF(98,87) = HCF(381,98) = HCF(479,381) = HCF(2297,479) = HCF(5073,2297) = HCF(7370,5073) .
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Frequently Asked Questions on HCF of 5073, 7370 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 5073, 7370?
Answer: HCF of 5073, 7370 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5073, 7370 using Euclid's Algorithm?
Answer: For arbitrary numbers 5073, 7370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.