Highest Common Factor of 9425, 9738 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 9425, 9738 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9425, 9738 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 9425, 9738 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 9425, 9738 is 1.
HCF(9425, 9738) = 1
HCF of 9425, 9738 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9425, 9738 is 1.
Highest Common Factor of 9425,9738 is 1
Step 1: Since 9738 > 9425, we apply the division lemma to 9738 and 9425, to get
9738 = 9425 x 1 + 313
Step 2: Since the reminder 9425 ≠ 0, we apply division lemma to 313 and 9425, to get
9425 = 313 x 30 + 35
Step 3: We consider the new divisor 313 and the new remainder 35, and apply the division lemma to get
313 = 35 x 8 + 33
We consider the new divisor 35 and the new remainder 33,and apply the division lemma to get
35 = 33 x 1 + 2
We consider the new divisor 33 and the new remainder 2,and apply the division lemma to get
33 = 2 x 16 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9425 and 9738 is 1
Notice that 1 = HCF(2,1) = HCF(33,2) = HCF(35,33) = HCF(313,35) = HCF(9425,313) = HCF(9738,9425) .
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Frequently Asked Questions on HCF of 9425, 9738 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 9425, 9738?
Answer: HCF of 9425, 9738 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9425, 9738 using Euclid's Algorithm?
Answer: For arbitrary numbers 9425, 9738 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.