Highest Common Factor of 5973, 7379 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 5973, 7379 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5973, 7379 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 5973, 7379 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 5973, 7379 is 1.
HCF(5973, 7379) = 1
HCF of 5973, 7379 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5973, 7379 is 1.
Highest Common Factor of 5973,7379 is 1
Step 1: Since 7379 > 5973, we apply the division lemma to 7379 and 5973, to get
7379 = 5973 x 1 + 1406
Step 2: Since the reminder 5973 ≠ 0, we apply division lemma to 1406 and 5973, to get
5973 = 1406 x 4 + 349
Step 3: We consider the new divisor 1406 and the new remainder 349, and apply the division lemma to get
1406 = 349 x 4 + 10
We consider the new divisor 349 and the new remainder 10,and apply the division lemma to get
349 = 10 x 34 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5973 and 7379 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(349,10) = HCF(1406,349) = HCF(5973,1406) = HCF(7379,5973) .
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Frequently Asked Questions on HCF of 5973, 7379 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 5973, 7379?
Answer: HCF of 5973, 7379 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5973, 7379 using Euclid's Algorithm?
Answer: For arbitrary numbers 5973, 7379 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
