Highest Common Factor of 409, 675, 935 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 409, 675, 935 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 409, 675, 935 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 409, 675, 935 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 409, 675, 935 is 1.
HCF(409, 675, 935) = 1
HCF of 409, 675, 935 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 409, 675, 935 is 1.
Highest Common Factor of 409,675,935 is 1
Step 1: Since 675 > 409, we apply the division lemma to 675 and 409, to get
675 = 409 x 1 + 266
Step 2: Since the reminder 409 ≠ 0, we apply division lemma to 266 and 409, to get
409 = 266 x 1 + 143
Step 3: We consider the new divisor 266 and the new remainder 143, and apply the division lemma to get
266 = 143 x 1 + 123
We consider the new divisor 143 and the new remainder 123,and apply the division lemma to get
143 = 123 x 1 + 20
We consider the new divisor 123 and the new remainder 20,and apply the division lemma to get
123 = 20 x 6 + 3
We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get
20 = 3 x 6 + 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 409 and 675 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(123,20) = HCF(143,123) = HCF(266,143) = HCF(409,266) = HCF(675,409) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 935 > 1, we apply the division lemma to 935 and 1, to get
935 = 1 x 935 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 935 is 1
Notice that 1 = HCF(935,1) .
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Frequently Asked Questions on HCF of 409, 675, 935 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 409, 675, 935?
Answer: HCF of 409, 675, 935 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 409, 675, 935 using Euclid's Algorithm?
Answer: For arbitrary numbers 409, 675, 935 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
