Highest Common Factor of 490, 74267 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, 74267 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 490, 74267 is 1 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, 74267 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, 74267 is 1.
HCF(490, 74267) = 1
HCF of 490, 74267 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, 74267 is 1.
Highest Common Factor of 490,74267 is 1
Step 1: Since 74267 > 490, we apply the division lemma to 74267 and 490, to get
74267 = 490 x 151 + 277
Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 277 and 490, to get
490 = 277 x 1 + 213
Step 3: We consider the new divisor 277 and the new remainder 213, and apply the division lemma to get
277 = 213 x 1 + 64
We consider the new divisor 213 and the new remainder 64,and apply the division lemma to get
213 = 64 x 3 + 21
We consider the new divisor 64 and the new remainder 21,and apply the division lemma to get
64 = 21 x 3 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 490 and 74267 is 1
Notice that 1 = HCF(21,1) = HCF(64,21) = HCF(213,64) = HCF(277,213) = HCF(490,277) = HCF(74267,490) .
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Frequently Asked Questions on HCF of 490, 74267 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, 74267?
Answer: HCF of 490, 74267 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 490, 74267 using Euclid's Algorithm?
Answer: For arbitrary numbers 490, 74267 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
