Highest Common Factor of 574, 909 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 574, 909 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 574, 909 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 574, 909 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 574, 909 is 1.
HCF(574, 909) = 1
HCF of 574, 909 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 574, 909 is 1.
Highest Common Factor of 574,909 is 1
Step 1: Since 909 > 574, we apply the division lemma to 909 and 574, to get
909 = 574 x 1 + 335
Step 2: Since the reminder 574 ≠ 0, we apply division lemma to 335 and 574, to get
574 = 335 x 1 + 239
Step 3: We consider the new divisor 335 and the new remainder 239, and apply the division lemma to get
335 = 239 x 1 + 96
We consider the new divisor 239 and the new remainder 96,and apply the division lemma to get
239 = 96 x 2 + 47
We consider the new divisor 96 and the new remainder 47,and apply the division lemma to get
96 = 47 x 2 + 2
We consider the new divisor 47 and the new remainder 2,and apply the division lemma to get
47 = 2 x 23 + 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 574 and 909 is 1
Notice that 1 = HCF(2,1) = HCF(47,2) = HCF(96,47) = HCF(239,96) = HCF(335,239) = HCF(574,335) = HCF(909,574) .
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Frequently Asked Questions on HCF of 574, 909 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 574, 909?
Answer: HCF of 574, 909 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 574, 909 using Euclid's Algorithm?
Answer: For arbitrary numbers 574, 909 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.