Highest Common Factor of 9294, 1671 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 9294, 1671 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9294, 1671 is 3 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 9294, 1671 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 9294, 1671 is 3.
HCF(9294, 1671) = 3
HCF of 9294, 1671 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9294, 1671 is 3.
Highest Common Factor of 9294,1671 is 3
Step 1: Since 9294 > 1671, we apply the division lemma to 9294 and 1671, to get
9294 = 1671 x 5 + 939
Step 2: Since the reminder 1671 ≠ 0, we apply division lemma to 939 and 1671, to get
1671 = 939 x 1 + 732
Step 3: We consider the new divisor 939 and the new remainder 732, and apply the division lemma to get
939 = 732 x 1 + 207
We consider the new divisor 732 and the new remainder 207,and apply the division lemma to get
732 = 207 x 3 + 111
We consider the new divisor 207 and the new remainder 111,and apply the division lemma to get
207 = 111 x 1 + 96
We consider the new divisor 111 and the new remainder 96,and apply the division lemma to get
111 = 96 x 1 + 15
We consider the new divisor 96 and the new remainder 15,and apply the division lemma to get
96 = 15 x 6 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9294 and 1671 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(96,15) = HCF(111,96) = HCF(207,111) = HCF(732,207) = HCF(939,732) = HCF(1671,939) = HCF(9294,1671) .
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Frequently Asked Questions on HCF of 9294, 1671 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 9294, 1671?
Answer: HCF of 9294, 1671 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9294, 1671 using Euclid's Algorithm?
Answer: For arbitrary numbers 9294, 1671 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.