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 895, 515 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 895, 515 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 895, 515 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 895, 515 is 5.
HCF(895, 515) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 895, 515 is 5.
Step 1: Since 895 > 515, we apply the division lemma to 895 and 515, to get
895 = 515 x 1 + 380
Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 380 and 515, to get
515 = 380 x 1 + 135
Step 3: We consider the new divisor 380 and the new remainder 135, and apply the division lemma to get
380 = 135 x 2 + 110
We consider the new divisor 135 and the new remainder 110,and apply the division lemma to get
135 = 110 x 1 + 25
We consider the new divisor 110 and the new remainder 25,and apply the division lemma to get
110 = 25 x 4 + 10
We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get
25 = 10 x 2 + 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 895 and 515 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(110,25) = HCF(135,110) = HCF(380,135) = HCF(515,380) = HCF(895,515) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 895, 515?
Answer: HCF of 895, 515 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 895, 515 using Euclid's Algorithm?
Answer: For arbitrary numbers 895, 515 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.