Highest Common Factor of 9246, 5769 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 9246, 5769 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9246, 5769 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 9246, 5769 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 9246, 5769 is 3.
HCF(9246, 5769) = 3
HCF of 9246, 5769 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9246, 5769 is 3.
Highest Common Factor of 9246,5769 is 3
Step 1: Since 9246 > 5769, we apply the division lemma to 9246 and 5769, to get
9246 = 5769 x 1 + 3477
Step 2: Since the reminder 5769 ≠ 0, we apply division lemma to 3477 and 5769, to get
5769 = 3477 x 1 + 2292
Step 3: We consider the new divisor 3477 and the new remainder 2292, and apply the division lemma to get
3477 = 2292 x 1 + 1185
We consider the new divisor 2292 and the new remainder 1185,and apply the division lemma to get
2292 = 1185 x 1 + 1107
We consider the new divisor 1185 and the new remainder 1107,and apply the division lemma to get
1185 = 1107 x 1 + 78
We consider the new divisor 1107 and the new remainder 78,and apply the division lemma to get
1107 = 78 x 14 + 15
We consider the new divisor 78 and the new remainder 15,and apply the division lemma to get
78 = 15 x 5 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9246 and 5769 is 3
Notice that 3 = HCF(15,3) = HCF(78,15) = HCF(1107,78) = HCF(1185,1107) = HCF(2292,1185) = HCF(3477,2292) = HCF(5769,3477) = HCF(9246,5769) .
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Frequently Asked Questions on HCF of 9246, 5769 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 9246, 5769?
Answer: HCF of 9246, 5769 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9246, 5769 using Euclid's Algorithm?
Answer: For arbitrary numbers 9246, 5769 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.