Highest Common Factor of 897, 490 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 897, 490 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 897, 490 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 897, 490 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 897, 490 is 1.
HCF(897, 490) = 1
HCF of 897, 490 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 897, 490 is 1.
Highest Common Factor of 897,490 is 1
Step 1: Since 897 > 490, we apply the division lemma to 897 and 490, to get
897 = 490 x 1 + 407
Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 407 and 490, to get
490 = 407 x 1 + 83
Step 3: We consider the new divisor 407 and the new remainder 83, and apply the division lemma to get
407 = 83 x 4 + 75
We consider the new divisor 83 and the new remainder 75,and apply the division lemma to get
83 = 75 x 1 + 8
We consider the new divisor 75 and the new remainder 8,and apply the division lemma to get
75 = 8 x 9 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 897 and 490 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(75,8) = HCF(83,75) = HCF(407,83) = HCF(490,407) = HCF(897,490) .
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Frequently Asked Questions on HCF of 897, 490 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 897, 490?
Answer: HCF of 897, 490 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 897, 490 using Euclid's Algorithm?
Answer: For arbitrary numbers 897, 490 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
