Highest Common Factor of 649, 7287, 9285 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 649, 7287, 9285 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 649, 7287, 9285 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 649, 7287, 9285 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 649, 7287, 9285 is 1.
HCF(649, 7287, 9285) = 1
HCF of 649, 7287, 9285 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 649, 7287, 9285 is 1.
Highest Common Factor of 649,7287,9285 is 1
Step 1: Since 7287 > 649, we apply the division lemma to 7287 and 649, to get
7287 = 649 x 11 + 148
Step 2: Since the reminder 649 ≠ 0, we apply division lemma to 148 and 649, to get
649 = 148 x 4 + 57
Step 3: We consider the new divisor 148 and the new remainder 57, and apply the division lemma to get
148 = 57 x 2 + 34
We consider the new divisor 57 and the new remainder 34,and apply the division lemma to get
57 = 34 x 1 + 23
We consider the new divisor 34 and the new remainder 23,and apply the division lemma to get
34 = 23 x 1 + 11
We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get
23 = 11 x 2 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 649 and 7287 is 1
Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(34,23) = HCF(57,34) = HCF(148,57) = HCF(649,148) = HCF(7287,649) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9285 > 1, we apply the division lemma to 9285 and 1, to get
9285 = 1 x 9285 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9285 is 1
Notice that 1 = HCF(9285,1) .
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Frequently Asked Questions on HCF of 649, 7287, 9285 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 649, 7287, 9285?
Answer: HCF of 649, 7287, 9285 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 649, 7287, 9285 using Euclid's Algorithm?
Answer: For arbitrary numbers 649, 7287, 9285 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.