Highest Common Factor of 990, 4509 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 990, 4509 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 990, 4509 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 990, 4509 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 990, 4509 is 9.
HCF(990, 4509) = 9
HCF of 990, 4509 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 990, 4509 is 9.
Highest Common Factor of 990,4509 is 9
Step 1: Since 4509 > 990, we apply the division lemma to 4509 and 990, to get
4509 = 990 x 4 + 549
Step 2: Since the reminder 990 ≠ 0, we apply division lemma to 549 and 990, to get
990 = 549 x 1 + 441
Step 3: We consider the new divisor 549 and the new remainder 441, and apply the division lemma to get
549 = 441 x 1 + 108
We consider the new divisor 441 and the new remainder 108,and apply the division lemma to get
441 = 108 x 4 + 9
We consider the new divisor 108 and the new remainder 9,and apply the division lemma to get
108 = 9 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 990 and 4509 is 9
Notice that 9 = HCF(108,9) = HCF(441,108) = HCF(549,441) = HCF(990,549) = HCF(4509,990) .
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Frequently Asked Questions on HCF of 990, 4509 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 990, 4509?
Answer: HCF of 990, 4509 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 990, 4509 using Euclid's Algorithm?
Answer: For arbitrary numbers 990, 4509 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.