Highest Common Factor of 251, 665, 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 251, 665, 909 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 251, 665, 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 251, 665, 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 251, 665, 909 is 1.
HCF(251, 665, 909) = 1
HCF of 251, 665, 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 251, 665, 909 is 1.
Highest Common Factor of 251,665,909 is 1
Step 1: Since 665 > 251, we apply the division lemma to 665 and 251, to get
665 = 251 x 2 + 163
Step 2: Since the reminder 251 ≠ 0, we apply division lemma to 163 and 251, to get
251 = 163 x 1 + 88
Step 3: We consider the new divisor 163 and the new remainder 88, and apply the division lemma to get
163 = 88 x 1 + 75
We consider the new divisor 88 and the new remainder 75,and apply the division lemma to get
88 = 75 x 1 + 13
We consider the new divisor 75 and the new remainder 13,and apply the division lemma to get
75 = 13 x 5 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 251 and 665 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(75,13) = HCF(88,75) = HCF(163,88) = HCF(251,163) = HCF(665,251) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 909 > 1, we apply the division lemma to 909 and 1, to get
909 = 1 x 909 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 909 is 1
Notice that 1 = HCF(909,1) .
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Frequently Asked Questions on HCF of 251, 665, 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 251, 665, 909?
Answer: HCF of 251, 665, 909 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 251, 665, 909 using Euclid's Algorithm?
Answer: For arbitrary numbers 251, 665, 909 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
