Highest Common Factor of 9327, 950 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 9327, 950 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9327, 950 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 9327, 950 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 9327, 950 is 1.
HCF(9327, 950) = 1
HCF of 9327, 950 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9327, 950 is 1.
Highest Common Factor of 9327,950 is 1
Step 1: Since 9327 > 950, we apply the division lemma to 9327 and 950, to get
9327 = 950 x 9 + 777
Step 2: Since the reminder 950 ≠ 0, we apply division lemma to 777 and 950, to get
950 = 777 x 1 + 173
Step 3: We consider the new divisor 777 and the new remainder 173, and apply the division lemma to get
777 = 173 x 4 + 85
We consider the new divisor 173 and the new remainder 85,and apply the division lemma to get
173 = 85 x 2 + 3
We consider the new divisor 85 and the new remainder 3,and apply the division lemma to get
85 = 3 x 28 + 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 9327 and 950 is 1
Notice that 1 = HCF(3,1) = HCF(85,3) = HCF(173,85) = HCF(777,173) = HCF(950,777) = HCF(9327,950) .
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Frequently Asked Questions on HCF of 9327, 950 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 9327, 950?
Answer: HCF of 9327, 950 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9327, 950 using Euclid's Algorithm?
Answer: For arbitrary numbers 9327, 950 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.