Highest Common Factor of 9444, 1490 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 9444, 1490 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9444, 1490 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 9444, 1490 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 9444, 1490 is 2.
HCF(9444, 1490) = 2
HCF of 9444, 1490 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9444, 1490 is 2.
Highest Common Factor of 9444,1490 is 2
Step 1: Since 9444 > 1490, we apply the division lemma to 9444 and 1490, to get
9444 = 1490 x 6 + 504
Step 2: Since the reminder 1490 ≠ 0, we apply division lemma to 504 and 1490, to get
1490 = 504 x 2 + 482
Step 3: We consider the new divisor 504 and the new remainder 482, and apply the division lemma to get
504 = 482 x 1 + 22
We consider the new divisor 482 and the new remainder 22,and apply the division lemma to get
482 = 22 x 21 + 20
We consider the new divisor 22 and the new remainder 20,and apply the division lemma to get
22 = 20 x 1 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9444 and 1490 is 2
Notice that 2 = HCF(20,2) = HCF(22,20) = HCF(482,22) = HCF(504,482) = HCF(1490,504) = HCF(9444,1490) .
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Frequently Asked Questions on HCF of 9444, 1490 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 9444, 1490?
Answer: HCF of 9444, 1490 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9444, 1490 using Euclid's Algorithm?
Answer: For arbitrary numbers 9444, 1490 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.