Highest Common Factor of 395, 625 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 395, 625 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 395, 625 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 395, 625 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 395, 625 is 5.
HCF(395, 625) = 5
HCF of 395, 625 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 395, 625 is 5.
Highest Common Factor of 395,625 is 5
Step 1: Since 625 > 395, we apply the division lemma to 625 and 395, to get
625 = 395 x 1 + 230
Step 2: Since the reminder 395 ≠ 0, we apply division lemma to 230 and 395, to get
395 = 230 x 1 + 165
Step 3: We consider the new divisor 230 and the new remainder 165, and apply the division lemma to get
230 = 165 x 1 + 65
We consider the new divisor 165 and the new remainder 65,and apply the division lemma to get
165 = 65 x 2 + 35
We consider the new divisor 65 and the new remainder 35,and apply the division lemma to get
65 = 35 x 1 + 30
We consider the new divisor 35 and the new remainder 30,and apply the division lemma to get
35 = 30 x 1 + 5
We consider the new divisor 30 and the new remainder 5,and apply the division lemma to get
30 = 5 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 395 and 625 is 5
Notice that 5 = HCF(30,5) = HCF(35,30) = HCF(65,35) = HCF(165,65) = HCF(230,165) = HCF(395,230) = HCF(625,395) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 395, 625 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 395, 625?
Answer: HCF of 395, 625 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 395, 625 using Euclid's Algorithm?
Answer: For arbitrary numbers 395, 625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.