Highest Common Factor of 490, 48854 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, 48854 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 490, 48854 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, 48854 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, 48854 is 2.
HCF(490, 48854) = 2
HCF of 490, 48854 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, 48854 is 2.
Highest Common Factor of 490,48854 is 2
Step 1: Since 48854 > 490, we apply the division lemma to 48854 and 490, to get
48854 = 490 x 99 + 344
Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 344 and 490, to get
490 = 344 x 1 + 146
Step 3: We consider the new divisor 344 and the new remainder 146, and apply the division lemma to get
344 = 146 x 2 + 52
We consider the new divisor 146 and the new remainder 52,and apply the division lemma to get
146 = 52 x 2 + 42
We consider the new divisor 52 and the new remainder 42,and apply the division lemma to get
52 = 42 x 1 + 10
We consider the new divisor 42 and the new remainder 10,and apply the division lemma to get
42 = 10 x 4 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 490 and 48854 is 2
Notice that 2 = HCF(10,2) = HCF(42,10) = HCF(52,42) = HCF(146,52) = HCF(344,146) = HCF(490,344) = HCF(48854,490) .
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Frequently Asked Questions on HCF of 490, 48854 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, 48854?
Answer: HCF of 490, 48854 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 490, 48854 using Euclid's Algorithm?
Answer: For arbitrary numbers 490, 48854 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.