Highest Common Factor of 515, 785, 895 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 515, 785, 895 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 515, 785, 895 is 5 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 515, 785, 895 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 515, 785, 895 is 5.
HCF(515, 785, 895) = 5
HCF of 515, 785, 895 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 515, 785, 895 is 5.
Highest Common Factor of 515,785,895 is 5
Step 1: Since 785 > 515, we apply the division lemma to 785 and 515, to get
785 = 515 x 1 + 270
Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 270 and 515, to get
515 = 270 x 1 + 245
Step 3: We consider the new divisor 270 and the new remainder 245, and apply the division lemma to get
270 = 245 x 1 + 25
We consider the new divisor 245 and the new remainder 25,and apply the division lemma to get
245 = 25 x 9 + 20
We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get
25 = 20 x 1 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 515 and 785 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(245,25) = HCF(270,245) = HCF(515,270) = HCF(785,515) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 895 > 5, we apply the division lemma to 895 and 5, to get
895 = 5 x 179 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 895 is 5
Notice that 5 = HCF(895,5) .
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Frequently Asked Questions on HCF of 515, 785, 895 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 515, 785, 895?
Answer: HCF of 515, 785, 895 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 515, 785, 895 using Euclid's Algorithm?
Answer: For arbitrary numbers 515, 785, 895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.