Highest Common Factor of 9574, 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 9574, 7379 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9574, 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 9574, 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 9574, 7379 is 1.
HCF(9574, 7379) = 1
HCF of 9574, 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 9574, 7379 is 1.
Highest Common Factor of 9574,7379 is 1
Step 1: Since 9574 > 7379, we apply the division lemma to 9574 and 7379, to get
9574 = 7379 x 1 + 2195
Step 2: Since the reminder 7379 ≠ 0, we apply division lemma to 2195 and 7379, to get
7379 = 2195 x 3 + 794
Step 3: We consider the new divisor 2195 and the new remainder 794, and apply the division lemma to get
2195 = 794 x 2 + 607
We consider the new divisor 794 and the new remainder 607,and apply the division lemma to get
794 = 607 x 1 + 187
We consider the new divisor 607 and the new remainder 187,and apply the division lemma to get
607 = 187 x 3 + 46
We consider the new divisor 187 and the new remainder 46,and apply the division lemma to get
187 = 46 x 4 + 3
We consider the new divisor 46 and the new remainder 3,and apply the division lemma to get
46 = 3 x 15 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9574 and 7379 is 1
Notice that 1 = HCF(3,1) = HCF(46,3) = HCF(187,46) = HCF(607,187) = HCF(794,607) = HCF(2195,794) = HCF(7379,2195) = HCF(9574,7379) .
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Frequently Asked Questions on HCF of 9574, 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 9574, 7379?
Answer: HCF of 9574, 7379 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9574, 7379 using Euclid's Algorithm?
Answer: For arbitrary numbers 9574, 7379 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.