Highest Common Factor of 9546, 9160 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 9546, 9160 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9546, 9160 is 2 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 9546, 9160 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 9546, 9160 is 2.
HCF(9546, 9160) = 2
HCF of 9546, 9160 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9546, 9160 is 2.
Highest Common Factor of 9546,9160 is 2
Step 1: Since 9546 > 9160, we apply the division lemma to 9546 and 9160, to get
9546 = 9160 x 1 + 386
Step 2: Since the reminder 9160 ≠ 0, we apply division lemma to 386 and 9160, to get
9160 = 386 x 23 + 282
Step 3: We consider the new divisor 386 and the new remainder 282, and apply the division lemma to get
386 = 282 x 1 + 104
We consider the new divisor 282 and the new remainder 104,and apply the division lemma to get
282 = 104 x 2 + 74
We consider the new divisor 104 and the new remainder 74,and apply the division lemma to get
104 = 74 x 1 + 30
We consider the new divisor 74 and the new remainder 30,and apply the division lemma to get
74 = 30 x 2 + 14
We consider the new divisor 30 and the new remainder 14,and apply the division lemma to get
30 = 14 x 2 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9546 and 9160 is 2
Notice that 2 = HCF(14,2) = HCF(30,14) = HCF(74,30) = HCF(104,74) = HCF(282,104) = HCF(386,282) = HCF(9160,386) = HCF(9546,9160) .
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Frequently Asked Questions on HCF of 9546, 9160 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 9546, 9160?
Answer: HCF of 9546, 9160 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9546, 9160 using Euclid's Algorithm?
Answer: For arbitrary numbers 9546, 9160 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.