Highest Common Factor of 490, 74333 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, 74333 i.e. 49 the largest integer that leaves a remainder zero for all numbers.
HCF of 490, 74333 is 49 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, 74333 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, 74333 is 49.
HCF(490, 74333) = 49
HCF of 490, 74333 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, 74333 is 49.
Highest Common Factor of 490,74333 is 49
Step 1: Since 74333 > 490, we apply the division lemma to 74333 and 490, to get
74333 = 490 x 151 + 343
Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 343 and 490, to get
490 = 343 x 1 + 147
Step 3: We consider the new divisor 343 and the new remainder 147, and apply the division lemma to get
343 = 147 x 2 + 49
We consider the new divisor 147 and the new remainder 49, and apply the division lemma to get
147 = 49 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 49, the HCF of 490 and 74333 is 49
Notice that 49 = HCF(147,49) = HCF(343,147) = HCF(490,343) = HCF(74333,490) .
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Frequently Asked Questions on HCF of 490, 74333 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, 74333?
Answer: HCF of 490, 74333 is 49 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 490, 74333 using Euclid's Algorithm?
Answer: For arbitrary numbers 490, 74333 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.