Highest Common Factor of 525, 715, 409 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 525, 715, 409 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 525, 715, 409 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 525, 715, 409 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 525, 715, 409 is 1.
HCF(525, 715, 409) = 1
HCF of 525, 715, 409 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 525, 715, 409 is 1.
Highest Common Factor of 525,715,409 is 1
Step 1: Since 715 > 525, we apply the division lemma to 715 and 525, to get
715 = 525 x 1 + 190
Step 2: Since the reminder 525 ≠ 0, we apply division lemma to 190 and 525, to get
525 = 190 x 2 + 145
Step 3: We consider the new divisor 190 and the new remainder 145, and apply the division lemma to get
190 = 145 x 1 + 45
We consider the new divisor 145 and the new remainder 45,and apply the division lemma to get
145 = 45 x 3 + 10
We consider the new divisor 45 and the new remainder 10,and apply the division lemma to get
45 = 10 x 4 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 525 and 715 is 5
Notice that 5 = HCF(10,5) = HCF(45,10) = HCF(145,45) = HCF(190,145) = HCF(525,190) = HCF(715,525) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 409 > 5, we apply the division lemma to 409 and 5, to get
409 = 5 x 81 + 4
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get
5 = 4 x 1 + 1
Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 409 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(409,5) .
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Frequently Asked Questions on HCF of 525, 715, 409 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 525, 715, 409?
Answer: HCF of 525, 715, 409 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 525, 715, 409 using Euclid's Algorithm?
Answer: For arbitrary numbers 525, 715, 409 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.