Highest Common Factor of 490, 5032 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 490, 5032 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 490, 5032 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 490, 5032 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 490, 5032 is 2.
HCF(490, 5032) = 2
HCF of 490, 5032 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 490, 5032 is 2.
Highest Common Factor of 490,5032 is 2
Step 1: Since 5032 > 490, we apply the division lemma to 5032 and 490, to get
5032 = 490 x 10 + 132
Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 132 and 490, to get
490 = 132 x 3 + 94
Step 3: We consider the new divisor 132 and the new remainder 94, and apply the division lemma to get
132 = 94 x 1 + 38
We consider the new divisor 94 and the new remainder 38,and apply the division lemma to get
94 = 38 x 2 + 18
We consider the new divisor 38 and the new remainder 18,and apply the division lemma to get
38 = 18 x 2 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 490 and 5032 is 2
Notice that 2 = HCF(18,2) = HCF(38,18) = HCF(94,38) = HCF(132,94) = HCF(490,132) = HCF(5032,490) .
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Frequently Asked Questions on HCF of 490, 5032 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 490, 5032?
Answer: HCF of 490, 5032 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 490, 5032 using Euclid's Algorithm?
Answer: For arbitrary numbers 490, 5032 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
