Highest Common Factor of 9045, 891 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 9045, 891 i.e. 27 the largest integer that leaves a remainder zero for all numbers.
HCF of 9045, 891 is 27 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 9045, 891 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 9045, 891 is 27.
HCF(9045, 891) = 27
HCF of 9045, 891 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9045, 891 is 27.
Highest Common Factor of 9045,891 is 27
Step 1: Since 9045 > 891, we apply the division lemma to 9045 and 891, to get
9045 = 891 x 10 + 135
Step 2: Since the reminder 891 ≠ 0, we apply division lemma to 135 and 891, to get
891 = 135 x 6 + 81
Step 3: We consider the new divisor 135 and the new remainder 81, and apply the division lemma to get
135 = 81 x 1 + 54
We consider the new divisor 81 and the new remainder 54,and apply the division lemma to get
81 = 54 x 1 + 27
We consider the new divisor 54 and the new remainder 27,and apply the division lemma to get
54 = 27 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 9045 and 891 is 27
Notice that 27 = HCF(54,27) = HCF(81,54) = HCF(135,81) = HCF(891,135) = HCF(9045,891) .
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Frequently Asked Questions on HCF of 9045, 891 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 9045, 891?
Answer: HCF of 9045, 891 is 27 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9045, 891 using Euclid's Algorithm?
Answer: For arbitrary numbers 9045, 891 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.