Highest Common Factor of 9126, 9549 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 9126, 9549 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 9126, 9549 is 9 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 9126, 9549 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 9126, 9549 is 9.
HCF(9126, 9549) = 9
HCF of 9126, 9549 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9126, 9549 is 9.
Highest Common Factor of 9126,9549 is 9
Step 1: Since 9549 > 9126, we apply the division lemma to 9549 and 9126, to get
9549 = 9126 x 1 + 423
Step 2: Since the reminder 9126 ≠ 0, we apply division lemma to 423 and 9126, to get
9126 = 423 x 21 + 243
Step 3: We consider the new divisor 423 and the new remainder 243, and apply the division lemma to get
423 = 243 x 1 + 180
We consider the new divisor 243 and the new remainder 180,and apply the division lemma to get
243 = 180 x 1 + 63
We consider the new divisor 180 and the new remainder 63,and apply the division lemma to get
180 = 63 x 2 + 54
We consider the new divisor 63 and the new remainder 54,and apply the division lemma to get
63 = 54 x 1 + 9
We consider the new divisor 54 and the new remainder 9,and apply the division lemma to get
54 = 9 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 9126 and 9549 is 9
Notice that 9 = HCF(54,9) = HCF(63,54) = HCF(180,63) = HCF(243,180) = HCF(423,243) = HCF(9126,423) = HCF(9549,9126) .
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Frequently Asked Questions on HCF of 9126, 9549 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 9126, 9549?
Answer: HCF of 9126, 9549 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9126, 9549 using Euclid's Algorithm?
Answer: For arbitrary numbers 9126, 9549 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
